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Twenty-Third Symposium on Naval Hydrodynamics (2001)
Naval Studies Board (NSB)

Page
402
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Page
402
Front Matter (R1-R19)
Modern Seakeeping Computations for Ships (1-45)
Forces, Moment and Wave Pattern for Naval Combatant in Regular Head Waves (46-65)
New Green-Function Method to Predict Wave-Induced Ship Motions and Loads (66-81)
Validation of Time-Domain Prediction of Motion, Sea Load, and Hull Pressure of a Frigate in Regular Waves (82-97)
Ship Motions and Loads in Large Waves (98-111)
Prediction of Vertical-Plane Wave Loading and Ship Responses in High Seas (112-125)
Basic Studies of Water on Deck (126-142)
Second Order Waves Generated by Ship Motions (143-156)
Prediction of Nonlinear Motions of High-Speed Vessels in Oblique Waves (157-170)
Optimizing Turbulence Generation for Controlling Pressure Recovery in Submarine Launchways (171-180)
Hull Design by CAD/CFD Simulation (181-190)
Steady-State Hydrodynamics of High-Speed Vessels with a Transom Stern (191-205)
Practical CFD Applications to Design of a Wave Cancellation Multihull Ship (206-222)
Simulation of Ship Maneuvers Using Recursive Neural Networks (223-242)
Flow- and Wave-Field Optimization of Surface Combatants Using CFD-Based Optimization Methods (243-261)
Marine Propulsor Noise Investigations in the Hydroacoustic Water Tunnel 'G.T.H.' (262-283)
Propulsor Design Using Clebsch Formulation (284-300)
Unsteady Flow Quantities on Two-Dimensional Foils: Experimental and Numerical Results (301-313)
Hydrofoil Turbulent Boundary Layer Separation at High Reynolds Numbers (314-329)
Pressure Fluctuation on Finite Flat Plate Above Wing in Sinusoidal Gust (330-341)
Control of the Turbulent Wake of an Appended Streamlined Body (342-354)
Investigation of Global and Local Flow Details by a Fully Three-Dimensional Seakeeping Method (355-367)
Prediction of Wave Pressure and Loads on Actual Ships by the Enhanced Unified Theory (368-384)
Frequency Domain Numerical and Experimental Investigation of Forward Speed Radiation by Ships (385-401)
International Collaboration on Benchmark CFD Validation Data for Surface Combatant DTMB Model 5415 (402-422)
Validation of High Reynolds Number, Unsteady Multi-Phase CFD Modeling for Naval Applications (423-440)
Free Surface Viscous Flow Computation Around A Transom Stern Ship by Chimera Overlapping Scheme (441-456)
Anti-Roll Tank Simulations With A Volume of Fluid (VOF) Based Navier-Stokes Solver (457-473)
Validation of Tab Assisted Control Surface Computation (474-484)
Experimental and Numerical Investigation of the Flow Around the Appendices of a Whitbread 60 Sailing Yacht (485-492)
Propeller Wake Analysis by Means of PIV (493-510)
Experimental and Numerical Investigation of the Unsteady Flow Around a Propeller (511-526)
Simulation of Incompressible Viscous Flow Around a Ducted Propeller Using a RANS Equation Solver (527-539)
On Submerged Stagnation Points and Bow Vortices Generation (540-552)
Numerical Prediction of Scale Effects in Ship Stern Flows with Eddy-Viscosity Turbulence Models (553-568)
The Experimental and Numerical Study of Flow Structure and Water Noise Caused by Roughness of a Body (569-578)
Large-Eddy Simulations of Turbulent Wake Flows (579-598)
Instability of Partial Cavitation: A Numerical/Experimental Approach (599-615)
An Unsteady Three-Dimensional Euler Solver Coupled with a Cavitating Propeller Analysis Method (616-638)
On the Flow Structure, Tip Leakage Cavitation Inception and Associated Noise (639-653)
An Experimental Investigation of Cavitation Inception and Development of Partial Sheet Cavaties on Two-Dimensional Hydrofoils (654-669)
Modeling 3D Unsteady Sheet Cavities Using a Coupled UnRANS-BEM code (670-686)
Ship Wake Detectability in the Ocean Turbulent Environment (687-703)
An Experimental and Computational Study of the Effects of Propulsion on the Free-Surface Flow Astern of Model 5415 (704-712)
Breaking Waves in the Ocean and Around Ships (713-745)
Numerical and Experimental Study of the Wave Breaking Generated by a Submerged Hydrofoil (746-761)
The Numerical Simulation of Ship Waves Using Cartesian Grid Methods (762-779)
Radiation Loads on a Cylinder Oscillating in Pycnocline (780-791)
Wave Resistance Computations - A Comparison of Different Approaches (792-804)
Computations of Nonlinear Turbulent Free Surface Flows Using the Parallel Uncle Code (805-819)
Submarine Maneuverability Assessment Using Computational Fluid Dynamic Tools (820-832)
Simulation of UUV Recovery Hydrodynamics (833-847)
Reynolds-Averaged Modeling of High-Froude-Number Free Surface Jets (848-862)
On Roll Hydrodynamics of Cylinders Fitted with Bilge Keels (863-880)
Combining Accuracy and Effciency with Robustness in Ship Stern Flow Computation (882-896)
An Unstructured Multielement Solution Algorithm for Complex Geometry Hydrodynamic Simulations (897-909)
Ship Stern Flow Calculations on Overlapping Composite Grids (910-926)
Study on the Prediction of Flow Characteristics Around a Ship Hull (927-940)
Analysis of Turbulence Free-Surface Flow Around Hulls in Shallow Water Channel by a Level-Set Method (941-956)
A Design Tool for High Speed Ferries Washes (957-967)
Flow Around Ships Sailing in Shallow Water - Experimental and Numerical Results (968-982)
Ship Stability Study in the Coastal Region: New Coastal Wave Model Coupled with a Dynamic Stability Model (983-992)
Waves and Forces Caused by Oscillation of a Floating Body Determined Through a Unified Nonlinear Shallow-Water Theory (993-1005)

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INTERNATIONAL COLLABORATION ON BENCHMARK CFD VALIDATION DATA FOR SURFACE COMBATANT DTMB MODEL 5415- F. Stem', J. Longo', R. Pen as, A. Olivieri2, T. Ratcliffe3, H. Coleman4 (i Iowa nstitute of Hydraulic Research, The University of Iowa, Iowa City, A, USA; 2Italian Ship Model Basrn, Rome, Italy; David Taylor Model Basrn, Bethesda, MD, USA; 4Propu sion Research Center, University of Alabama in Huntsville, Huntsville, AL, USA) ABSTRACT Results are presented f om overlaping towing I. k te ts betw en f ee institutes for resists, smkage ad trim, wave profiles ad elevations, ad nommal wake using the s me model geometry ad conditions, mcludmg rigorous aplication of standard once tamty asses merit procedures Two of She in titutes used 5 7 m models whereas the Third Institute used a smaller 3 m model Comparison variables were defmed for data reduction equations ad data dlderenres ad d.x3-d tlelence cncenainries Detailed descriptions w re provided of facilities, measurement >! tems, data-aquisition ad reduction procedures, ad once tamty assessment Results were discussed with dew ml to levels ad cases of data differences ad data- difference once tamties ad to estimate facility/model geomet y ad scale ettect biases For same size 5 7 m models, data differences were m ge off oscillate y, ad in may cases, larger in magmit de fha data- difference uncertainties, which mdicates maco mted for bias ad prey ision limits ad that Currff t individual faci it once tamty estimates a often too optimi tic Scale effects for the 3 m model ape only evident for resista e ad him tests at high Fr Faility/model geometry ad scale effect bias are estimated based on comparisons Unce tamty estimates including mch biases may provide better estimates, especially for use in CFD validation, which is the recommendation of She present tudy along with efforts towards improvement of Individual in titute uncfftamty e timates Use of standard models ad current ITTC effo ts m providing standard quality mamal procedures for towing lank tests ad uncertainty estimates will also be helpful m this regard INTRODUCTION Towing lank testing is mdergomg change from routine tests for global variables to detailed tests for local variables for model development ad · 23~3 Symposi m onNaval Hyd ody amics, 17-22 Septr 1 computational fluid dy mics (CFD) validation, as design methodology changes f om model testing ad theo y to simulation-based design Such detailed testing requires that towing tanks utili:D: advert d modem insh mentation with complete doc mentati m of test conditions, procedures, ad uncertainty assessment The requi ements for levels of uncertainties a even more stringent than those requi ed previously since Hey are a limiting factor m establishing She level of validation ad credibility of simulation technology Also, routine test data is more I kely utilized in house, whereas detailed test data is more Ikely utilized mtemationally, which additionally requi es use of standard procedures ad e ravishment of benchmark levels of data uncertainties D tailed testing offers new opport mities for towing tanks, as the amo mt ad complexity of testing is mcreased International collaborations a iterative from a resource perspective The benchmark database for CFD validati m for resista e ad propulsion is fanly extensive with current focus on modern hull forms a d detailed tests as repo ted by She Resi tan e Committee of the 22 International Towing Tak Co ference JTTC, 1999) Taker KVLCC2), container ship KCS), ad smfae combatant Dl\r3 5415) hull fomms w re recommended for use ad are currently bemg used as te t cases m the Godhenburg 2000 Workshop on CFD for Ship Hydkody comics (Gothenburg 2000; http://www iih niowaedu/godhenburg2000/) KVLCC2 ad KCS w re conceived by She Korea Instit te of Ships & O em Engineering TORSO) specifically as test cases for modern taker ad container ship hull forms for CFD validation for ship hydkody comics ca 1997 KVLCC2 ad KCS have bulbous bows ad bulbous cruiser ad hansom sterns, re pectively The KVLCC2 ad KCS data w re procured by KR SO Van et al, 1997 ad 1998a, b) m collaboration with Pohag University of Science ad mber 2000, Val de Reuil, Fran e

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Techmology, Korea Lee et a, 1998) ad Ship R seach ~stitute, Jaa, respectively DTMB 5415 wa cop eived by De id Taylor Model Bain, USA Na y a a prelimmay desigm for a sp fae combmat ca 1980 with a sona dome bow ad trasom stem The DTMB 5415 dma w re procp cd by DTMB ~atcliffe, 1995; http://www50 dtna ymil/5415/) m collaoraion wi6h Istituto Na ionae per Studi cd Esperienze di Architettp a Na ae NSEAN), Itay (Ava ini et a, 1998, Ava ini et a, 2000, Olivieri ad Pemma 1999, Olivieri ad Pemma 2000), ad lowa In tit te of HydLalic R seach, USA Longo ad Stffn, 1998, Gpi et a, 1999, Longo et a, 2000, Stem, 2000:http://wwwiih piowaedu/ towtak The present paer descr~bes 6he internaiona collaoraion on DTMB model 5415 betw en DTMB, NSEAN, ad IIHR The collaoraion wa dop a DTMB psmg 5415 (5 72 m, 1/24 8 scae model), a NSEAN psmg NSEAN model 2340 ad 2340A (exat geosyms of 5415), ad a I HR psmg DTMB model 5512 (3 038 m, 1/46 6 pae geosym of 5415) Figme 1 shows models 5415, 2340A, ad 5512 Betw en al thee instit tions may conditions ad physics a pmder mvestigaion The conditions ip Ipde bae hpil withopt (al) ad with apendages ad proppisor DTMB), ad fi cd ad fp e model (al) The physics ae comprehensive ad mcinde model size JIHR), fapility bia es (al), R y olds m mber ~) effects (al), bopmday layer ad wake NSEAN, stern flow (al), Froude number Fr) effects (a D, bow a d h a som flow DTMB), we breakmg NSEAN), ad tmbuiff e ad head we s ~HR) The p e tamty a sessment procedp es closely follow ITTC (1999) recommendaions Overlapmg tests for resista e, smkage ad him, wa profile, we elevaions, ad nomma wake ae ip Ipded for evapaion betw en in titutes of failities; meapp ment sy tems; test procedpes; p etamty asesments; model sic, offsets, ad tmbplep e timplaion; ad faility/model geometry ad scae effect bia es, 6 opfh compaisons of bodhdmaadp fftaintier The respits of the ovffiapmg tests build on i formaion provided by the Cooperaive E perimenta Prog am of 6he Resista e Committees of the 17-19 ITTC ad the cooperaive p fftamty a sessment example for p si ta e test of 6he Resista e Committc of the 22 d ITTC The former provided compaison betw en pp to 22 instit tes of globa (resista e, smkage ad trim, we profle, we cut, wake survey, fomm fator, ad blockage) ad loca (sp fae pp ssup ad bopmday layer tre rses) dma for a stadad geomeby (Series 60) of dfffep nt sizes (I 2-9 6 m), but did not consider p ertainty a sessment The later built on the fommer m providing compa ison between 7 institutes of p sista te t p e tamties followmg stada d p e tamty a ses ment medhodology, but for different model geometries ad si:D:s (Series 60, contamer ships, ad 5415) Pp sent work builds on both m providing compa isons betwcn 3 mstitutes of bodh dma ad pp tamties for the same model geomet y of 2 sizes (3 ad 5 72 m) Spch compa isoms betw en fapilities is apa ntly relaively p ommon m other fields such a arospae ad mechaica engip ering, which may be dp to mcrea cd complexity of roptme ship model testing dp to viscops ad f ee sp fae effects in compa ison to roptip testing m other fields The respits ae timely with pgad to the Godhenbp g 2000 Workshop on CFD for Ship Hydkody amics ad shopid be taken mto consideraion in reahing concipsions p ga dmg levels of CFD va ida ion The fopps hep in is on the overlaping tests; however, highlights a given of the overal test prog am S - tiom descr~be, respectively: the overlaping test desigm, compaison vaiales, ad conditions; failities, meap ffment systems, ad procedup s; p ertainty a sessments; CFD va ida ion/c om p lem enta y CFD; c om p a i s ons of re mit s; highlights of 6he overal test prog am; ad cop Ipsions OVERLAPPING TEST DESIGN, COAdPARISON VARIABLES, AND CONDITIONS The most typica towmgtak tests were selected for 6he overlapmg te ts, ie, p si ta e, si kage ad him, wa profile, we elevaions, ad nomma wake Eah mstitute follow d 6heir pspa procedp es; however, specia consideraion wa gi p to integ a ion of p ertainty a sessmffpt mto a I pha es of the experimenta process, CFD vaidaion, ad complementay CFD Compaison vaiales were defip d for tota CTJ1Se ad residpa y C~ resista e, smkage ~ ad trim ~, we profle_md elevaions (, ad nomina wake mea velocity V ad pp ssp e C~, a given by 6he followmg dma reduction equaions: CT = c~ + c~ (J + k) CT =CT C (1+~) cT MT g 0 5pUC S C O 075 (1°gIO R~ 2 0)2 2 (la) (lb) (Ic) (Id)

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2l (flAP ~P) 2l i. (U,V,W) Uc C 2( p Pv~ ) pU: (3) meesurement systems ad procedures Compe ison of two instit tes is reletively sheightfo wad For Dj < UDI. i=AB,AC,BC (14) deta betw en mstitutes agree et level UDI Presumaly, desigm sets the requi cd level of agreement (g) betw en mstitutes Bettff agreement requires reduction of UD`adpossiblyD, For Dj > UDI . i=AB, AC, BC (15) (5) (6) CT e is selected es the compaison ve iale for resistace, smce it calibretes all deta to 6he same tempereture T=15°C; thereby, enaling quatitetive compeisons for simile tests ad models et different intitutes, es rffommffded by ITTC Qcality Mamal Procedure 4 9-03-03-01 2 1978 ITTC Performape Prediction M thod k is the fomm fator ad C~ is 6he flet-plete friction line c ad ~ a defined withoct Fr~ in 6he denomineor (, V, ad C a normalized by model ienf h L, ca iege peed U., ad dy amic pressure PUC . re pectively To failitete th compe isons of deta procured et 6he different instit tes, dea (A, B. C), deta differe pes D,, ad deta differe pes mpeteinty UDI ve iales ae defined es follows: (A, B,C)=(CT .tT~T~S~V~Cp 1. i=A(DTMB),B(lNS AN),C(IIHR) D~ = A B UD ~ = U~ +UB D~C=A C UD C =U~ +UC D~C=B C UD C = UB +UC (7) (8) (9) (10) (1 1) (12) (13) Deta dfffere pes D, ee ar~buted to dfffere pes m faility (si:og weter quality, cc riege); model size (for C), offsets, ad turbule pe timcletion; ad deta disagreement is eth~buted to model size (for C) ad mapomted for bies B(~c; ad prffision P(~ ~,c) limits Compe ison of 6 ee instit tes is not stralght forwe d e there e e may combinetions of equetion (14) ad (15) Ve iocs combinetions were considered such es A=B-2C, A+C-2B, ad B+C-2A; however, it wes dffficclt to dkew co plusions from therefore limited to (A, B. C), D,, U,A,B,CY ad UDI The conditions et eah mstitute for the overlaping tests e e s mme i:osd m Tale I For eah test, 6he meesurement system, Fr, R. e rege tempereture T~, density, kmemetic viscosity, surfae tension, density of deta, ad model mstalletion wi6h displaements e bow P) ad stem (AP), is mdiceed FACILITIES, MEASUEtEMENT SYSTEMS, AND PROCEDUEtES Fadlities. Expffiments with 5415 e e performed inbesm no 2 (575 m long, 15 5 m wide, 6 7 m deep) Besin no 2 is equipped with a electro- hydLalically opereted dkive cc riege ad caale of speeds of 10 3 m/s Sidewall ad endwall beahes enale 20 mmute intervals betw en cc riege r ms Towing-tak weer is mpplied by the Weshington Scburba Saitetion Commission E periments wi6h 2340A e e perfommed in towing tak no 2 (220 m long, 9 m wide, 3 6 m dep) Towing tak no 2 is equipped with a smgle dkive ca iege thet is caale of peeds of 10 m/s Sidewall ad endwall beahes enale 20- mmute intervals betwen cc riege r ms Towing tak weter is spring weter E periments with 5512 e e performed m 6he IIHR towing tak (100 m long ad 3 048 m wide ad deep) The IIPR tak is equipped with a elechic-motor opereed dkive ceriege the is cale dkiven by a 15-horsepower motor ad caale of speeds of 3 m/s Sidewall ad endwall beahes enale twelve-mincte intervals betw en cariege r ms Towing-tak weter is scpplied by 6he city of lowa City Model geometry. 5415 wes consh pted et 6he DTMB model workshop in 1980 f om a blak of lamineted wood ad a computerized n mericalcutting (CNC) mahme Turbule pe stimcletion is et x=0 05 3

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with cylindrical studs having 3.2 mm diameter, 2.5 mm height, and spaced 5.0 mm. The geometry offset measurement system consists of twenty-five wooden templates. (a) DTMB model 5415 (b) INSEAN model 2340A Fig. 1: (c) IIHR model 5512 Model geometries for the overlapping tests. 2340A was constructed in 1998 at the INSEAN model workshop from a blank of laminated wood and a CNC machine. Turbulence stimulation is at x=0.01 with cylindrical studs having 3.0 mm diameter, 3.0 mm height, and spaced 30.0 mm. The geometry offset I design (CAD), hand-cut templates, level table, right angle, plumb, and rulers and feeler gauges. The data is reduced by computing crossplane and global average values for the error in the offsets for each coordinate and for S. 5512 was constructed in 1996 at the DTMB model workshop from molded fiber-reinforced Plexiglas. Turbulence stimulation is at x=0.05 with cylindrical studs having 3.2 mm diameter, 1.6 mm height, and 10.0 mm spacing. The measurement system and data-reduction procedures for determination of the errors in the geometry offsets and S are virtually the same as at INSEAN, however, the IIHR templates are CNC milled. Carriage speed. At each facility, carriage speed Uc is measured with encoder-based measurement systems and PC data acquisition. The operating principle is integer pulse (n) counting at a wheel- mounted (diameter=D) encoder in known time intervals (fit). The data-reduction equations are of the form OCR for page 406
th ough a 10 Hz low-pass filter NSEAN uses a Hottinger Baldwm Messtechmik model Ul, 50 kg loadcell, sigmal conditioner, ad 16-bit AD cad wi6h PC for be resists e tests The loadcell, sigmal c mditioner, ad carriage PC AD card a statically calibr ted on a Kffmpf ad Remmers precision test stand to determine the voltage mass relationship Data requisition is done 6 ough collection of 300 discrete samples over 10 seconds at 30 H impl fled analog voltages are converted to frequency (3000~2500Hz) for transmission to the AD card to reduce sigmal sensitivity to noise Data is fiitffed th ough a 10 Hz low-pass filter IIHR uses a Nisshio sham-gags type 20 kg loadcell, sigmal conditioner, ad 12-bit AD cad wi6h PC for be resists e tests The loadcell, sigmal conditioner, ad can iage PC AD card a statically calibrated on a IIHR test stand to determine be voltage-mass relationship Data requisition is done th ough collection of 2000 discrete samples o of 10 seconds at 200 H Data is filtered th ough a 3 H low- pass filter Sinkage and trim. Si kage ~ ad him z a measured wi6h potentiometer-based measurement systems ad PC data acquisition The potentiometers sense di placements of the model at the P ad AP which are conve ted to ~ ad z with equations (2) ad (3) Data reduction processes a She same as for She resists e tests DUMB Employs Imear potentiometers, sigmal conditioners, ad a 16-bit AD card wi6h PC for the si kage ad trim tests The potentiometers, sigmal conditioners, ad carriage PC AD card a statically calibrated on a DTMB test tad to detffmme be voltage-displaement relationship Data requisition is done th ough collection of 500 discrete samples over 5 seconds at 100 H Data is filtered Through a 10 H low-pass filter NSEAN employs rotative potentiometers, sigmal conditioners, ad a 16bit AD card with PC for be smkage ad trim tests Displacement measurements ape made by conversion of vertical to jugular di placements th ough w ight- bala ed, mechanical parallelog tams The potentiometers, sigmal conditioners, ad can iage PC AD card are tatically c.~ln red on a NSEAN test stand to detemmine be voltage-displcement relationship Data acquisition is done 6 ough collection of 300 discrete samples o of 10 seconds at 30 H Data is filtered th ough a 10 Hz low-pass filter I HR employs linear potentiometers ad a 12-bit AD card vifh PC for the smkage ad trim tests The pOtff tiometers ad can i we PC AD card are statically calibrated on a IIHR test stand to determine be voltage-displaement relationship Data requisition is done th ough collection of 2000 discrete samples over 10 second at 200 H Data is not ffitffed Wave profile. Wave profiles ~ are measured with different meiwcement systems ad normah:cd with model iengh L DTMB utili:oss a waterproof pencil ad hull-based g id sy tem for the wave profile tests Wave profiles a marked on the model as it is tow d 6 ouch be basin Vernier calipers a used to quatffy be wave profile heights referenced to be full- load water line NSEAN utilizes a photon Ethic ad digiti ing measurement system with a hull-based g id system for the wave profile te Is Data requisition is done by photographing be wave profile m sections (20% L) ad digiti ing She negatives with a high- resolution scanter Wave heights are quantified t x- stations on be model vifh CAD sof ware IIHR utilizes adhesive markers, tlex~l:le ruler, level tale, height gage, a d hull-based g id system for the wave profile te Is Data requisition is done by tixmg the adhesive markers t the top of be wave profile at each x-station The model is removed from the teak ad a flexible ruler is used to measure be wave profile dista e along the gi th of the model from be calm waterline The above two reps a repeated th ee times The model is Averted ad mo mted on a level tale ad be average wave height values a remarked along be gi th of the model from the calm w terline The height gage is used to measure be wave height z Far field wave elevations. Fa-field wave elev lions (~ a measured with eifner caaita - or servo/aoustic-based measurement systems or PC data requisition A longitudinalcut medhod is used to aqui e the far-field data Dnta-redoction is completed by conversion of longitudmalcut time histories to a ship coordin te ystem ad Hen norm all ing elevations with model iengh DTMB .. ~ capacity e-wire probes sopended fr m a automated 2D havffsmg system, a 16-bit AD card, ad shore-i aped PC for the far-field wave elevations tests The probes ad traversing system are cantilevered from be tank sid wall on a boom The comity e wi es, 2D traversing system, ad shore-i aped PC AD card are st tically calibrated to determine Heir voltage-elevation relationships Data acquisition is done th ouch collection of 2000 ad 3000 discrete samples over 20 ad 30 seconds at 100 Hz for Fr=0 28 ad 0 41, respectively Data is filtered at 10 H Data was collected t two longitudinal positions: y 0 097 ad 0 324 INSEAN .. . a array of four can ~ it ~ e-wire probes, moveable slide, 12-bit AD card, ad shore- based PC for the far-field wave elevation te Is The probes ad haversing ystem are cantilevered f om be teak sidewall on a boom The capacity e wires, moveable slide, ad shore-based PC AD card are st tically calibrated to determine Heir voltage-elevation relationships Data acquisition is done th ouch s

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collection of 552 discrete samples over 12 seconds at 92 H Data is filtered at 20 Hz Data is collected at a total of 136 longit dinal cuts Hat are spa d at fiy=0 0026 betw en She maxim m beam of the model ad y 0 433 IIHP uses a Kenek servo-type wave probe ad sigmal conditioner, a Keyence aoustic-type wave probe ad sigmal conditioner, 2D trazersmg system, 12-bit AD card, ad shore-i aped PC for She far- field wave elevation te Is The probes ad traversing >! rem are cantilevered from the lank sidewall on a I O m boom The servo ad acoustic probes, sigmal conditioners, 2D haversing system, ad shore-based PC AD card are statically calibrated to determine Heir voltage-elevation relationships Data Requisition is done th ough collection of 2700 discrete samples over 13 3 seconds at 202 5 H Data is not filtered Data is collected at a total of 32 longitudmal cuts Hat a spaced at fly O 01 between the maxim m beam of She mod I ad the sidewall waw d mpeners (y 0 392) Near field wave elevations. Near-field wave elevations (NP are measured with servo-based measurement >! tems ad PC data Requisition at DT~LR ad IIHP A trasverse-cut method is used to aqui e She data at the bow, stern, ad w ke regions which are inacessible with be longit dinal-cut medhod Data reduction processes a similar as for the can iage speed tests DT~LR Employs four DT~LR whisker probes, sigmal conditioners, 2D traversing system, 16-bit AD card ad carriage PC for the nea- field wave elevation tests The whisker probes, sigmal conditioners, ad carriage PC AD card a statically calibr ted on be traverse system to determine its voltage-elevation relationships Data Requisition is done at 100 H ad the data is filtered t 10 Hz Data is collected at a tot i of 20 hasverse cuts chat a pa d at fix=0 0088 in bow ad stern regions Data is collected with a continuous travffsmg medhod in be y (transverse) coordinate with fiy~O 0009 IIHP employs a Kenek servo wave probe, fig al conditioner, 2D traversing system, 12-bit AD card ad carriage PC for be near-field wave elevation tests The servo probe, sig al conditioner, ad carriage PC AD card a statically calibrated on be traverse >! rem to delerm me its voltage-elevation relationship Data Requisition is done th ough collection of 4096 discrete s mples over 9 seconds at 455 H Data is not filtered Data is collected at a total of 46 transverse cuts chat a spaced at fix=0 05 in bow ad stern/wake regions Data is aqui ed with a point-to-point medhod with fly 0 005 between measured pomts Nominal wake. Nominal wake data (U. V, W. C; x=0 935) a measured with multihole probeMifferential pressure trasducer-based measurement ystffms ad PC data Requisition DT~LR utilizes a five-hole (3 2 mm tip), bo mdary layer pitot probe, pitot- tatic probe, five differential pressure transducers ad sigmal conditioners, 16-bit AD card, ad cariage PC for be nominal wake tests The five- hole probe is cabin red before acquisition of the nommal wake data Pitot tube calibr lion pressure coefficient ma ices a determined from the calibration measurements, performed on a calibration rig towed in calm water with no ship model present The calibration is expressed m coefficient form as: pitch ankle (Cal pitch) verms yaw ankles (C yaw), ad axial velocity (C vel) versus yaw angle Data acquisition for these experiments was done m a rectagmlar coordinate frame th ough collection of 500 samples over 5 seconds at 100 H D la is collected at 358 points on 18 horizontal cuts with variable spacing in y ad z Data reduction is done with be calm water calibr lion maices NS AN utilizes a pot-side, five-hole, bo mdary layer pitot probe (3 2 mm tip), pitot-st tic probe, five differential pressure hasducers ad sigmal conditioners, 16bit AD card, ad cad i we PC for the nommal wake tests Th ee calibrations are used for the nommal wake tests: (1) five-hole pitot probe is calibrated m be IIHR I 07 m open th o t wind tunnel (2) differential pressure transducers ad fig 31 conditioners are statically cabin red with water head to establish the voltage-pressure relationships; ad (3) calibration is made for be five-hole pitot probe preset ant le. (of, O. by taking mitial data at each fist lion with the probe located at s fficient v, z) that mfform- flow conditions prevail Data acquisition is done th ough collection of 2000 samples over 2 seconds at 1000 H Data is collected at a total of 32 hori metal cuts chat a spaced ~0 0025 Transverse spacing of data is fly 0 0025 Data reduction is done in five steps: (1) AD card output is statistically 3nahzed; (2) the average value is converted to mm HO using the voltage-pressure calibration with Imear mte polation; (3) velocity vector angles (or, O ad probe calibration coefficients M, P) are obtained with local Imear interpolation; (4) correction for five-hole pitot probe preset ant le from calibration for (by, 0; ad (5) U. V, W. ad C, are calculated D nsih is calculated as described for the resists e test HHR utili:D:s She s me equipment ad procedures as INSEAN except: (1) HHR uses a propo tionately mailer five-hole pitot probe which has the same sin: probe tip; (2) HHR measures starboard-side nominal wake data; ad (3) HHR collects 1500 samples over 12 seconds at 125 Hz with a 12bit AD cad UNCERTAINTY ASSESSMENT All f ee Institutes follow d ITTC Qualih Mamal Procedures 4 9-03-01-01 Uncertainh A alysis 6

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in E D, Uncerteinty Analysis \le~hodoloe -: 4 9-03-01 - 02 k nasnainty Analysis in E D, Guideline for Towing Tak Tests; ad 4 9-03-01-01 Uncfftamty Analysis, E ample for R sista e Test The E ample for R si tan e Test is boded on results from most members of the 22~3 ITTC Resista e Committee, mcludmg She present re mlts from NSEAN a d IIBR Bied limits e e estimated with consideration to sigmfficat elemental error sources for mdividu d ve fit les, whereas precision lim its e e e timeted end-to-end for e~pff~mem al re mlts boded on multiple te Is et the same conditions Total uncetamties de etimeted with a root-vtm-sqma RSSI ad normalization with She rage of the result Tale 2 s mme ices She mcert inty assessment resters for She overlapmg te Is Model geometry. Precision limits e e not considered in She analyses, thus, all of Us is f om She bied limit For DTMB ad NSEAN, 100% of the bied limit is associated with the errors in She model geomet y offsets (x, y, z) which e e e raged over 25 x- stetions with templates For I HR inn curaies m loading She model to the correct d aft e co at for 78% of Us, ad She remeinmg 22% e e associated with She errors m the model geometry offsets which a e raged over 31 x-stetions with templates The ettor in be geometry offsets is sm d l I z O 8 mm), but Us is relatively high because the model is compe etively small, he ing 3 5-times less wetted surfa e ea fha 5415 ad 234 A Caniage speed. Uncertainty in U. et DTMB is very mall (0 03%) for low ad medi m Fr Bied errors stffmmmg f om measurement of D ad n a major contnlxdors to be bied limit Precision limits contribute mod r uelv ad inmeede with mmeedmg Fr Uncfftamty in U. et NSEAN is one order of m q,mitud lager fha et DTMB ad demeedes with mmeedmg Fr As per DTMB, measurement mcertamty in D ad n e e sig itt at ad e co at for most of be bied limits Precision limits a relatively low ad not Fr-dependent which sugge Is the the d ive motor for NSEAN towing rank no 2 is stale et all speeds m the test ma ix Uncertainty in U et I HR is somewhat higher than et NSEAN due to the I wer rage of speeds for the smaller model U. also decreases with inmeeding Fr cd per NSEAN For all Fr, bied limits dommete (82- 94%) U ad decrease with mmeedmg Fr Measurement of n occurs twice m th data cream ad acco mts for 95-100% of be bied limits Contributions from measurement of D me 0 2-3 5% ad errors m the AD timebede a negligible cd pi DTMB ad NS AN P, inmeedes with inxeedmg Fr Indicate red s ed Hi it of be d ive motor to maintain constat U. for inmeeding speeds, i e, for mmeedmg load on be motor Resistance. Uncerteinty in clJdSe et DTMB is of same order cd values presented by 22~3 ITTC Resistace Committee, 4 9-03-01-01 Uncerteinty Analysis, E ample for R sista Test Unce tamty in the load en calibre ion weight stade d produces high ad moderate contributions of bied limit to total ace tamty for Fr=0 10 ad 0 28, re pectively Precision limit contributions e e rele ively high which is possibly due to res dual rank motions betw en r drS Uncfftamty in CT Se et NS AN is mod rued higher 6ha et DTMB ad decreases with inmeeding Fr Biedes in be measurement of F. contribute 70%-10% of B—:; for incrceding Fr ad a a fluted to He static dived calibration w ights ad scatter in the cabbretion de a ther sig at at factors in Bcr :; e e Us which conrnlnnei 10%-65% for mmeedmg Fr ad Us, which contributes 5%-15% for mmeeding Fr The uncertainties in be water temperature measurement a net hirable for all Fr cd per DTMB ad IIHR Precision limit contributions e e relatively high cd per DTMB which also may be possibly due to re idual tack motions between runs Uncerteinty in CT Se et I HR is roughly simile cd for NS AN except for low Fr where IIHR is 46% lower than NSEAN The buk of Ucrt5 is bied related with U ad Us conhibutmg 62%- 29% to Bcr :; for mmeeding Fr ad 9%-71% to Bcr :; for increasing Fr, respectively Effects of scaler m loadcell calibration dea eccomt for 100% of BE.. Precision limit contributions a rele ively low for all Fr which may be due to less residual rank motions between ties cd compar d with DTMB ad NSEAN Sioliage and trim. Uncertainty in ~ ad z et DTMB is somewhat le ge for F - O 10 but decreases sigmfficatly with mmeeding Fr cd the rage of the measurements inmeede, i e, be potentiometers opera e further from thei limiting resolution for higher Fr Bled limit contributions for both vaiahles me mainly effected by the t alter in She potentiometer calibrations ad decrease with mmeeding Fr Convert Iy, precision limit contractions mmeede wi6h mmeeding Fr which may Indicate elevated cc n we vibration for higher Fr ad or residual rank motions Uncertainty in a ad z et INSEAN is le ge for Fr=0 10 but dffreedes sigmfficatly to values compe able with DTMB wi6h inmeeding Fr Bled limits e e negligible for bodh ve iahles ad all Fr due to domma e of precision limits whose elevated values e e ariboted to redid tat rank motions between cc ridge r drS Uncertainty in a ad z et r HR is somewhat le ge for F - O 10 but decreases sigmfficatly wi6h inmeeding Fr cd per DTMB ad INSEAN Bled limit conh~botions for a e e high to mod r.de for Fr=0 10 ad F - O 28/0 41, respectively, with no Fr-depff dence Bled limit conh~botions for z e e high et F - O 10 ad decrease wi6h mcreedmg Fr cd 7

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per DTMB Bias limit magnitudes originate from scarer m the calibration data Precision limit conhibutions a mostly high for both variables ad all Fr a d cau sed by residual tank m otions a d heave/pitch oscillations at She model mo mt as the model seeks its hydkody comic equibbri m This 'po poismg' of She model is likely present at all facilities Wave profile. Uncertainty in ~ is less 6ha 5% for all facilities ad bodh Fr ad decreases wish inxeasmg Fr For DTMB ad bodh Fr, bias limits acomt for 64 5% of Us ad a composed of Form estimates for marking the wave profile at She exact an- water mte face (85%) ad measuring the di tan e from dk ftline to measurement with a vernier Caliph (15%) Precision limits acco mt for 35 5% of Us ad a based on 6 ee measurements of She wave profiles ad estimates of the contact-line msteadiness For NSEAN precision limits a not considered m She analysis Contributions to the bias limits are associated with She uncertainties m the hull-g idline Hick ess (40%), optical distortion for the camera (50%), scanter resolution (5%), ad interpolation form (5%) For IIHR a d both Fr, bias a d precision lim it contributions to Us are roughly 80% ad 20%, respectively Contributions to She bias limits a associated with once tamties m the adhesive marker placement on She hull (50%), placement of She dk ft ad station lines on the model (23%), reaplication of She wave profile marks on She hull ftff She test when the model is removed f om the teak (23%), a d height-gage readmgs from draftlme to measurement (4%) Precision limit contributions to Us a relatively low ad computed for N=3 multiple tests Far field wave elevrdions. Uncertainty in (~ at DTMB is better 6ha 4% for Fr=0 28 ad 0 41 A longitudmal cut at y 0 082 is chosen for detailed assessment of measurement once tamty For bodh Fr, bias limits are mam contributor to UP ad a composed mainly of scatter in the calibration data Precision limits a e timated from N=9 multiple tests ad mcrease with Fr which may be due to elevated levels of f e-smfae turbulence with mcreasing Fr ad "snashot"-like feature of the longitudmal-cut method Unce t inty m (~ at NSEAN is 3% or better for Fr=0 28 ad 0 41 Longi5 dinal cuts at y 0 082, 0 172, 0 259, ad 0 347 are chosen for detailed analysis of measurement mcertainty The myority of UP is bias- limit related The once tamty in U. acco mts for 70% of B . wish a 10%-15% conh~bution f om be once tamty in (x, y) probe position in be test region L Hart inty m be dista e measurement D betw en the wave probes ad be FP of be model at 5 0 acco mts for 5% of B . L Hart inty m the time lag betw en switch engagement ad data requisition is negligible Precision limits are estimated withN=10 multiple tests, contribute moderately to USA, ad decrease wish Fr in opposition to Hose at DTMB Uncertainty in (~ at IIHR is better 6ha 3 5% for F - O 28 A longit dinal cut at y 0 082 is chosen for detailed analysis of measurement once tamty The myority of UP is bias- limit related The uncertainty m carriage speed acounts for 79% of B . with 6%-8% conh~bution from be ur~rtainty m (x, y) probe positionmg m the te t region Uncertainty m be dista measurement D betw en be wave probes ad be FP of be model at t 0 acco mts for 6% of B . Unce tamty m the time lag betw en switch engagement ad data acquisition is negligible Precision limits a estimated with N=10 multiple tests ad conhibute sigmificatly to UP as per DTMB ad NSEAN Near field wave elevations. For DRAB, low- turbulence LTR ad high-turbulence HTR (x, y) regions are identified for det fled analysis in the HTR precision limit contributions to U5NP are elevated (85 5%) from large fluctuations in the free smfae ad air entamrnent mto the flow This produces comparatively high once tamty in the near-field measurements For the LTR, contributions of bias ad precision limits a more balm ed ad be uncertainty is less than 5% For 6 is case, the sc tter m the whisker probe calibration governs bias limit magmit de For I HA LTR (x, y 0 05, 0 07) ad HTR (x, y 1 075, 0) regions are identified m the wavefield for detailed analysis Bias limits contribute (25-50%) to URNS which is mamly (~100%) due to scarer in the servo- probe calibration data Relatively high PAP is due to free-smfae turbulence at the multiple-te t conditions Note chit PAP is th e-times g ester in the HTR fiha th LTR Nomdrtal woke. For DUMB, LTR (X, Y. ~0 9346, 0 04, -0 065) ad HTR(X,Y,~O 9346, 0 02, -O 02) regions are identified m the flowfield for detailed assessment of be measurement once tamty L bofih HTR ad LTR bias limit conhibotions to total uncertamties are dommat for U imd C but somewhat evenly matched with precision limit contributions for V ad W. Uncertfi ties in the five-hole calibration acco mts or 23% of the bias limit wifih the remiinmg portion doe to probe position uncfftamty in the flO-.li id ad pressure stahilizition during a can Age r m Precision limits are estimated from N=10 multiple tests ad are mod r.te for V, but 15-35% of the total uncertainty for U. W. ad C which may be a result of high fi ee-surfiae tmboler~/probe vibration For LNSEAN, LTR (X, Y. ~0 9346, 0 06, -0 0602) ad HTR (X, Y. ~0 9346, -0 0025, -0 0602) regions are identified in the no~fi id for detailed asses merit of fihe measurement uncertainty Bias ad precision limit contributions to total uncfftamties of all variables a 8

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evenly di treated m the LTR ad HTR Bu ad BY a i fluenced mostly by uncertamties m wind turmel coefhcients, M ad P. respectively For cros flow velocities, Bv ad Bw are mamly affected by uncertainties in velocity vector pitch ad yaw ant les (A O Contributions f om once tainties m U. to all variables are less 6ha 3 5%, ad cncenamties m measurement of pressures at the probe tip a negligible, except for She center hole where roughly 12% ad 2% contributions to B ad BY are computed Precision limits a estimated f om N=10 multiple tests ad are moderate ad high for U ad V, respectively, but 10-30% for W ad C which may be cased as per DTMB For IIHR LTR (x, y, ~0 9346, 0 1, -0 01375) ad HTR (x, y, ~0 9346, 0, -0 02125) regions a ides tided in the flowtield for detailed assessment of She measurement uncfftamty Bias limit contributions to total mcertainties of all variables are dominant in She LTR ad HTR in She LTR B Ed BY are i fluenced mo tly by uncertainties m wind turmel coefficients, M adP,respectively B; ad B a mamlyaffectedby once tamties in velocity vector pitch ad yaw ant le. (A O in the HTR By, Bv, Bw, ad B D are mamly i fleeced by once tamties in She measurement of water head at She five-hole probe tip since She sin: of She tip is large with respect to the shear-flow g adients Bv ad Bw are also still affected sigmfficatly by uncertainty m the pitch ad yaw angles m She HTR Precision limits are estimated from N=10 multiple tests ad are ve y small in relation to She bias limits, which may be due to lack of free-surface turbulence/pitot-probe vibration CFD VALIDATION/COM PLEMENTARY CFD The conditions ad data locations ad densities (Tale 1) w re selected with consideration to use of data for CFD validation C vise Fr=0 28) ad flak Fm0 41) peeds were selected for detailed validation with most extensive tests for fommer condition No specific requirement was plac d on experimental once tamties UD, but rather considered a important quantity to be estimated at each facility with foal estimates based on collective results, as discussed below Additionally, previous experiff e ad complementary CFD was used for detemmming data densities t:l:lhq PARISON OF RESULTS The focus of be discussions is on be comparison between in tit tes of facilities, model geometry, ad overlapmg test results for evaluation of faility/model geometry ad scale effect biases Comparisons a made of measurement .! tems ad procedures ad data (A, B. C) Equation (7)], data differences D, [equations (8), (10), (12)], data uncertainties Urx,r,cx ad datadifference uncertainties [equations (9), (11), (13)] Data differed es for all variables are computed fter interpolation of two data sets onto standard dependent variable values ad subhation Average data differences are expressed as percentages by non all ing the average difference with be average rage (all in titutes) of be ~ an 3} t Facilities. Faility locations are different as meekest by latit de, climate, ad zone Yearly average high ow/dew point temperatures are 66 6°/48 8 /44 4°, 68 0°/51 ~ 5' 8°, ad 59 8°/39 7° 39 5°, respectively, at A, B. C A ad B have similar mild yearly climates, whereas C experiences harrhff clim te, e pecially during the fall ad winter months Zones for A ad B are on octski Is of large cities, whereas C is in the center of a small city Such dfffffencer in ambient conditions a partially acco mted for by using values of g ad density ad viscosity based on local values of latit de ad water temper Sure, respectively Water quality is also different at each facility A ad C .. local tan water ad B .. . local spring w per; however, no acco mt is made for water quality since as already mentioned all mstitutes base values of density ad viscosity on water temperature only ad fresh w per values from standard tales The teaks at each facility have different dimes sions with the largest to smallest bemg A, B. ad C, respectively, which affects both blockage ad residual lank water motions between cariage r ms The blockage values (ratio of beam/dLaft product ad 1. k cross-sfftional a a) t A, B. ad C a 0 0017, 0 0042, ad 0 0055, respectively, which a all nearly at or below the rff ommff ded maxim m value of 0 005 it is also recommended chat model length should not be g eater than lank depth or more than half-as-long as lank widdh Thus only A satisfies all 6 ee requirements ad B ad C each violate one E Sects of blockage are partially acco mted for th ouch conection to can i me speed Tak sine ad side ad end wall wave d mping affect residual tack water motions (free ad mb surface) ad required time intervals betw en can iage r ms A ad B require 20 minutes betw en can iage r ms ad C 12 minutes all based on visual observations In spite of waitmg times, low fiequency motions are still evident especially m She larger tanks (as mentioned Hove with regad to large precision limits for smkage ad trim measurements) Cap iage speed affects all results, ahhocfh not always included directly m d la reduction equations Ahhocfh each instit te measures carriage speed with similar Instrument lion (encoders ad pulse co mters), they have different resolutions A has the low st jugular resolution m thei magnetic encoder (520 9

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pulses/rev) but the lowest uncertainty, while C has the highest resolution but the highest uncertainty. The uncertainty differences are due to the procedures for transferring pulse count into the data-acquisition PC (frequency for A and two AD conversions for C) and the speed range for the uncertainty assessment. Since A and B operate at nearly twice the carriage speed for a given Fr, and speed range is the normalizing factor for determination of Uuc, A and B have less uncertainty in measured Uc. Uuc can be further reduced through implementation of a closed-loop feedback system that constantly assesses and updates Uc with respect to a desired value. Currently, B is adopting this capability, however, none of the facilities had this capability during the overlapping tests. Carriage ride affects results through carriage vibration; however, such effects were not considered. Model geometry. Model geometry offsets, bow details (leading-edge radius), turbulence stimulation, surface roughness, and installation also surely affect all results, although, here again, not always directly through data-reduction equations. For each institute, Us is estimated to be 0.5% which is near the level of Us reported by the participating members of the 22n~ ITTC uncertainty assessment example for resistance test. The method for deter ination of the uncertainties in the offsets is crude as templates are used at a limited number of stations and error estimation is tedious, involving moderate and low accuracy at low- and high-points on the hull surface, respectively. Accounting for twisting or sagging of a model in the estimation of the offset errors is a very difficult, if not impossible task with templates. Also complicating the issue is changes to the model offsets over time with changes in ambient temperature and humidity or by long-ter water-immersion. Leading- edge radius on each model is 3.2 mm for A and B and 1.6 mm for C. Turbulence stimulation is different at each facility in terms of tripping location, however, results in Cider suggest that the turbulence stimulation was effective for all three models. Model surfaces were finished using usual procedures at each facility and assumed hydraulically smooth. All models were installed according to draft line, which is presumed the best method for CFD validation pur oses. However, it was noted by 22n~ ITTC uncertainty assessment example for resistance test that installation according to ballast weight reduces uncertainty in surface area by partially accounting for inaccuracy of design offsets. Tow points are also different for each model, but have not yet been compared. Resistance. For resistance tests, measurement systems, procedures, and data uncertainty estimates (Table 2) are similar for all three institutes. Figure 2 displays the results. Figure 2a compares the resistance data and Figures 2b, c, d compare the data difference and data-difference uncertainties between institutes AB, AC, and BC, respectively. Trends in Figure 2a for all three institutes are typical for high-speed combatant, i.e., limited humps and hollows for low and medium Fr and shar ly increasing resistance for high Fr. For low and medium Fr results for A, B. and C are very consistent with C usually between A and B. whereas for high Fr C is consistently lower than A and B. t 0.0051 0.004 o~ 0.003 _ Inns _ 0.00G _ 0.0 0.1 (a) Fr 0.0005 m om 0.0000 (b) -0.0005 _ 0.0 n Inns . _ om 0.0000 (C) (d) ---------~------------- DTMB model 5415 . ~ INSEAN model2340A ~- ------------~------------- II H R model 5512 0.2 0.3 0.4 0.5 CRAB AB .ooo5o 0 0.0005 ~ .,,,i,,,,i,,,,i,,,,i,... 0.1 0.2 Fr 0 3 0.4 0.5 ........... .......... - AC U C —1 .1 % C R ~ 3 . % 0.1 0.2 Fr 03 04 0.5 ~'~ . . . U ~ Fr Uo us. 0.5 Fig. 2: Resistance results and data differences. For AB (Figure 2b), data differences are oscillatory with Fr and intermittently greater/less than or within data-difference uncertainty, which suggests 10

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unaccounted for bias and precision limits. Average data difference is 2.2%, whereas average data- difference uncertainty is only 1.5%. 0.0251 0.020 0.015 0.010 0.005 0.000 -nnn.s (a) 0.010 0.005 ~< 0.000 -0. 005 (b) -0.01 0 0 0 0.1 0.010 0.005 ~ 0.000 ~....... -0.005 ~ (C) n Gin -----------~------------- DTMB model 5415 VIA -----------B------------- INSEAN model2340A ----------~------------- II H R model 551 2 ... 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . _ 0.0 0.1 0.2 0.3 Fr +U . ~ - AB . - ~ ~ .................. ~ _ U.U4U 0.035 _ 0.030 _ 0.025 _ 0.020 _ 0.015 _ 0.010 _ 0.005 _ 0.000 _ 0.4 0.5 -0.005 _ -nn1n . . , ................ I ~ . ................ ......... U ~ —1 8 .3 % 02 Fr 03 ................................................................................................... ........................................ ................................... ..... — — . ----------------------- AC---------------------------------------------------------------------------- - - V. V · V 0 O 0.1 0 2 Fr 03 0.4 0.5 0.010 0.005 0.000 -0. 005 (d) n Gin. 0.4 0.5 BC - _ ....................................................... _ -_ . K ........................................ . . _ . . _ .. ............... .............................................................................................................................. ~ -U ~ ~ —16.9 to c=2.6 to -v.v ~ v 0 0 0.1 0 2 Fr 03 0.4 0.5 Fig. 3: Sin age results and data differences. For AC (Figure 2c) and low and medium Fr, trends are similar (i.e., data differences are oscillatory and intermittently greater/less than or within data- difference uncertainty), whereas for high Fr the trend is evident that data difference increases nearly linearly and is much greater than data-difference uncertainty. Average data difference and data-difference uncertainty are 3.4% and 1.1%, respectively. Former is considerably larger than for AB and latter is somewhat smaller. Clearly the differences for AC compared to AB for larger Fr are due to scale effects. Trends for BC (Figure 2d) are very similar as for AC with average data differences and data-difference uncertainties of 3.9% and 1.6%, respectively. A A A A -------------~------------- DTMB model 5415 ~ INSEAN model 2340A ------------~------------- II H R model 5512 (a) 0.010 _ 0.005 0.000 ..... -0.005 ~ (b) n Gin , _ . _ 0~0 0.1 +U AB _ 0.2 0.3 0.4 Fr . .................................................... ............................... ......... .................................................... ....... . .. ....................... ............................................................................................................................... _UT UTAB 14.1 /0 ~AB_2.5% is. ~ . ~ 0 0 0.1 0 2 Fr 03 0.4 0.5 0.010 0.005 a,< 0.000 -0. 005 (C) -0.01 0 0.0 0.010 0.005 : Am 0.000 -0. 005 (d) a\ a\ ~ ~ 1 0.5 0.1 U ............................... AC . --- - - ~— — —— ~ ,_ ............................................................................................................................. . . ... ..= ~.=. = = = = = = ......... U .U =7.8% TAC 02 Fr 03 . . . +U ........................ . .................... . . ................................................................................................... IAC =5 .5% 0.4 . . . ~ ................................................... ........... — — — — . . - . . ................................................... , ........ ~ . . ....................................................................................................................................................... ,TBC, 0.2 Fr 03 0.4 0.5 0.5 -ecu ~ u ~ 0 0 0.1 Fig. 4: Trim results and data differences. Results are important in showing that for same size model (5.72 m) a better estimate for uncertainty in resistance test is 2.2%, which is considerably larger than individual facility estimates, especially for medium and high Fr. Results also show that scale 11

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effects for 3 m model are significant for Fr>0.26, which is likely due to differences in wave breaking as will be discussed later with regard to wave elevation measurements. For resistance, average facility/model geometry and scale effect (Fr>0.26) biases are estimated as 0.5% and 5.8%, respectively, as summarized in Table 3. Note that averages are based on all three facilities and Fr ranges as given in Table 3, and that facility and model geometry biases are combined as they cannot be separated without use of a standard model. Table 3: Summary of facility/model geometry and scale effect biases. Result CR 6 1 (0.28 (0.41 (FF U V W Fac./model geometry (UF/MG) AB AC 0.7% 0.9%: 0% 0% 0% 0%l 1.0% 0% 2.6% 1.9% 2.9% 1.1% 0% 0% 0.2% 0% BC 0%? 0% 0%l 0% 0% 0% 0% 2.3% Scale (USE) AC BC 4.9%? 6.7%? 0% 0% 1 1.6%? 12.7%? 0% 0% 0% 0% 0% 0% 0% 0% 0% 0% 13.0% 0% 1 1.7% 0% 0% I: Fr0.26; ?: Fr>0.33 Sinkage and trim. For sinkage and trim tests, measurement systems and procedures are similar for all n.nns three institutes. However, data uncertainties are fairly large and show some differences (Table 24. Uncertainties for B at low Fr are very large. Figures 3 and 4 display the results. Figures 3a and 4a compare the sinkage and trim data and Figures 3b, c, d and 4b, c, d compares the data difference and data-difference uncertainties between institutes AB, AC, and BC, respectively. Trends in Figures 3a and 4a for all three institutes are also typical for high-speed combatant, i.e., increasing sinkage and bow down than up trim for increasing Fr. In general, results between institutes are consistent, however, for trim and high Fr, C is consistently lower than A and B. For AB (Figures 3b and 4b), data differences are oscillatory and mostly within the data-difference uncertainties. Average data differences are 4% and 2.5%, whereas average data-difference uncertainties are 14.1% and 18.3%, respectively, for sinkage and trim. In this case, data differences are fairly small but with large data-difference uncertainties. For AC (Figures 3c and 4c), trend for sinkage is similar as AB although percentage values are lower, whereas trend for trim is different for high Fr wherein as with resistance test data difference increases nearly linearly and is much greater than data-difference uncertainty. Average data difference and data-difference uncertainty are 5.5% and 12 7.8%, respectively. Former is larger than for AB and latter is smaller. Clearly for trim test, as with resistance test, the differences for AC compared to AB for larger Fr are due to scale effects. Trends for BC (Figures 3d and 4d) are very similar as for AC with average data differences and data-difference uncertainties of 2.6% and 16.9% and 5.5% and 13.5%, respectively, for sinkage and trim. n non n.n1n n.nns -----------~---------- DTMB model 5415 ----------~---------- INSEAM model 2340A IIHR model 5512 -0.005 cat ° °° 0.25 0.50 0.75 1.00 0.010 0.005 Tic 0.000 -0.005 U ~ =5.4% (AB=6.4% AB -0.010 _, . . . . , . . . . , . . . . , . . (b) o so 0.25 0.010 ~ 0.50 0.75 x l l 1 1 .00 -0.005 -0.010 . (C) ° °° 0.010 0.005 U; =4.8% AC 0.25 (AC= 3 .3% 0.50 0.75 1.00 ~ 0.000 ~ .U~ -0.005 _ (sc (BC=3 .5% O.x50 0.75 -0.010 I I ~dy ° °° Fig. 5: Wave profile results and data differences (Fr=0.284. l l l 1 1 .00 Results are important in showing that for same size model (5.72 m) data differences are fairly small (i.e., similar level as resistance test) and for low Fr considerably less than data-difference uncertainties. All institutes (especially B) need to reduce uncertainties for low Fr. Results also show that scale effects for 3 m model are significant for trim and Fr>0.33. Facility/model geometry biases are not evident for both sinkage and trim. Scale effect biases are not evident for sinkage and estimated as 12.2% for trim (Table 34.

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Wave profile. For wave profile tests, measurement systems and test procedures are very different between institutes. However, data uncertainties have similar values (Table 24. Figures 5 and 6 display the results. Figures 5a and 6a compare the wave profile data for Fr = 0.28 and 0.41 and Figures 5b, c, d and 6b, c, d compare the data difference and data-difference uncertainties between institutes AB, AC, and BC, respectively. Trends in Figures 5a and 6a for all three institutes are also typical for high-speed combatant for medium and high Fr, i.e., display bow, shoulder and stern waves and increasing transverse wavelength with increasing Fr. n.n3n n.n2n nn1n -------ale----------- DTMB model 5415 . ~ INSEAM model 2340A ~ IIHR model 5512 -0.010 ,^ ~~ 0.00 0.25 0.50 0.75 1.00 Bad x 0.010 0.005 Arc 0.000 -0.005 \ +U; -------Up _ ~ U =3.1% (AB -0.010 _, . . . . . . . (b) o so 0.25 0.010 0.005 Arc 0.000 -n non uncertainties. Average data differences are 6.4% and 5.7%, whereas average data-difference uncertainties are 5.4% and 3.1%, respectively for Fr=0.28 and 0.41. Results for AC (Figures 5c and 6c) and BC (Figures 5d and 6d) are fairly similar; however, in these cases data differences are mostly within data-difference uncertainties. (a) n nn -O. 1 0 -0.20 -0.30 (b) 0.00 -O. 1 0 `-0.20 -0.30 ...... " " " " " " . (C) -0.20 -0.10 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 1.30 Fig. 7: Far-field wave elevation results at Fr=0.28: (a) DTMB 5415; (b) INSEAN 2340A; (c) IIHR 5512. -O. 1 0 Anon (AB= 5. 7% 0.50 0.75 1.00 +U 1 ~ ________ (AC -0.10 -U bar _ . _ _ _ _ U ~ —2 .7 No (AC—4 .6% -0.010 (C) 0.OO 0.25 0.50 0.75 1.00 0.010 0.005 m 0.000 -0.005 -0.010 ~ ~ ~ ~ NIB ~dy o so 0.25 0.50 0.75 1.00 Fig. 6: Wave profile results and data differences (Fr=0.414. Results between institutes are fairly consistent, although A seems to show consistently smaller values especially for shoulder and stern waves. For AB (Figures 5b and 6b), data differences are oscillatory and mostly less than data-difference n On ~ 1 n 1n ~ 1 `-0.20 1 (a) -0.20 -0.10 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 1.30 n nn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 000 010 020 030 040 050 060 070 080 090 1 00 1 10 1 20 1 30 I . 90 .~ 30 ~ 00 -30 ~ -60 ~ -90 : ~ -120 111111 -15 0 . . . . . . . . . . -n 2n -n 1 n -0.30 -............................................................................... (C) -0.20 -0.10 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00 1.10 1.20 1.30 Fig. 8: Far-field wave elevation differences at Fr=0.28: (a) DTMB-INSEAN; (b) DTMB- IIHR; (c) INSEAN-IIHR. Results are important in showing that a better estimate for uncertainty in wave profile test is about 5- 6%, which is larger than individual facility estimates, especially for high Fr. Results also show that scale effects for the 3 m model are insignificant. Average facility/model geometry and scale effect biases are estimated as 0.9% and not evident, respectively (Table 34. 13

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Wave elevations. For wave elevation tests, measurement systems and test procedures are different between institutes. However, data uncertainties have similar values (Table 24. Figures 7-10 display the results for the far field tests for Fr=0.28. Comparisons for the near field tests are not included. Figure 7 and 8 compare the wave pattern data and data differences, respectively. Figures 9 and 10 compare the data and data differences for two cuts y=0.324 and 0.082, respectively. Figures 8a, b, c and 9b, c, d are for AB, AC, and BC, respectively. Figure 10b is for BC. Trends in wave patterns for all three institutes are typical for high-speed combatant, i.e., show diverging and transverse wave systems originating from bow, shoulder, and stern. Overall patterns for all three institutes are very similar, although resolution for A appears less than that for B and C. Figure 9a shows fairly large differences between A, B. and C at this distance from the hull, whereas Figure 10a shows small differences between B and C close to the hull. o.oo75 t n anon 0.0025 0.0000 -0.0025 n anon ~ -0.0075 0.00 (a) 0.004 0.002 m 0.000 -0.002 . - —. D. TM.B .mo.del 541 5 interpolate.d - - INSEAN.model2340Ainter orate --- - - I- llHR modes 55-1 2 Good - - so - ~ - - - - - - ---- -- -- - -- _ ~ . ~ ~E' > ~ o--. -32-4----- --------- . .,, i,,,, i,, 0.25 0.50 . ~ ~ ............... .... ................................................................................................................................................... ............... .... ,i,,,,i,,,,i,,,, 1 0.75 1.00 1.25 1.50 X · FAB (FF F B 4 .7 % ~ U (FF I y°.°Oo )0 0.25 0.50 0.75 1.00 1.25 1.50 -n n 0.004 0.002 0.000 -0.002 -0.004 (C) 0.00 0.004 0.002 0.000 -0.002 ~ BOA U (FF =4.4% AC ~ . . . . . . . . . . . 0.25 0.50 +U(FFAC N A it_ _ _ _ _ _ _ _ _ _ _ _ _ ~ ~ 1 °/n ~ (FFAc . . . . . 1.25 OFF AC . . . . . . . . . . 0.75 1.00 X +U(FFBC :: :~~ ~ - ~4 2% F. —4.0% U. FFBC (d~v.vvO.I 30 0.25 0.50 0.75 1.00 1.25 1. 50 Fig. 9: Far-field wave cut data and differences at y=0.324, Fr=0.28: (a) interpolated wave cuts; (b) DTMB-INSEAN; (c) DTMB-IIHR; (d) INSEAN-IIHR. Data differences (Figure 8) are largest for the diverging waves at crests and troughs. For AB, AC, and BC average data differences are 6.5%, 5.5%, and 2.5%, respectively, whereas average data-difference uncertainties for AB, AC, and BC are about 4%. Detailed comparisons at y=0.324 show that data differences are oscillatory and average data differences of about 4-5% and data-difference uncertainties of about 4% for AB, AC, and BC. Here again, largest differences are at crests and troughs. Trends are similar at y=0.082, except average data difference is only 0.6% and data-difference uncertainty is 2.8%. In this case uncertainty estimates include dependency on x. 0.0075 0.0050 0.0025 0.0000 -0.0025 -0.0050 -0.0075 -0.50 -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 (a) x . ~ N ':: ~ ~' y=0- -08-2~ IN FAN mar 1 994nA _,,,, i,,,, i,,,, i,,,, i ....................... ... 0.002 c) l 0.000 -0.002 I ~ ;~__~ ~ ,j' ;~ ~ U (FFBC 2 8 /° (FFBC ° 6% -U(FF I -0.004 (b) -0.50 -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 Fig. 10: Far-field wave cut data and differences at y=0.082, Fr=0.28: (a) data; (b) INSEAN-IIHR. )1 _ - U 0.0c _0.0~ N -0.04 -0.0E . ~ L 0.00 -0.02 N -0.04 -0.06 _ W : _ Fig. 11: Nominal wake results at Fr=0.28. Results are important in showing that wave elevation differences are fairly small and close to the 14

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uncertainty estimates. Also, scale effects are not evident. However, visual observation of wave patterns especially for higher Fr shows differences in wave breaking, i.e., wave breaking is considerably reduced for the 3 m model in comparison to the 5.7 m models presumably due to differences in Weber number and also some differences between wave breaking patterns for larger models presumably due to water quality differences between facilities A and B. Average facility/model geometry and scale effect biases are estimated as 1.3% and not evident, respectively (Table 34. 0.00E _0.0 N -0.04 ~ n nc n nc -n nP o.oc N -in n4 -0.08 -n nP resolution are apparent. For C, scale effects are not obvious. For AB, data differences are less than data difference uncertainties for U. whereas they are larger for V and W. However, data-difference uncertainties (and data differences, except U) are fairly large. Interestingly, results for AC and BC are similar, i.e., scale effects are mostly lost in noise, although pattern for data differences for both AC and BC are nearly same, which may be an indication of scale effects. Results are important in showing that the data differences and data uncertainty are reasonable close albeit with fairly large values. All institutes need to reduce uncertainties. Average facility/model geometry and scale effect biases are estimated for (U. V, W) as (0%, 0.8%, 8.2%) and 0%, respectively (Table 34. Fig. 12: Nominal wake data differences at Fr=0.28. Nominal wake. For the nominal wake tests, measurement systems and test procedures are similar between facilities. However, data uncertainties are fairly large and show some differences (Table 24. Figures 11 and 12 display the results for the mean velocity components (U. V, W) data and data differences, respectively, for Fr=0.28. Trends for nominal wake for all three institutes are typical for high-speed combatant, i.e., relatively thin boundary layer near keel and free surface and thick boundary layer near mid girth due to effects of sonar dome vortex. V and W show influences of sonar some vortex and upwardfinward stern flow. Flow patterns for all three institutes are similar, although differences in -0.06 - 0 0.02 0.04 0.06 y Fig. 13: DTMB 5415 axial velocity (U) contours and crossbow vectors for the "/propeller condition: Fr=0.28, x=0.9603, 436 rpm. Y 0.4 0.46 0.52 0.58 0.64 0.7 0.76 0.82 0.88 0.94 1 \ Fig. 14: INSEAN 2340A flow mapping at Fr=0.28. HIGHLIGHTS OF OVERALL TEST PROGRAM Although the emphasis herein has been on the overlapping tests, the collaborative effort also consists of focus studies at each institute. These studies were 15

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designed to address a variety of important physics and expand the surface-ship database with quality datasets and uncertainty assessment. At A, model 5415 was used in a series of propeller-hull interaction tests. Shafts and struts were added to the model and data was obtained with and without the propellers operating. The measurements include free surface topographies of the transom wave field, longitudinal wave cuts (Ratcliffe, 2000), and velocity measurements in the nominal wake plane and both upstream and downstream of the operating propulsors. The velocity measurements were obtained with three-component laser-doppler velocimetry (LDV). Fig. 13 is a sample of results for the latter. At B. model 2340A was used for a comprehensive flow mapping of the boundary layer and wake flow at eleven cross planes with multi- hole probes and pressure transducers. The axial velocity results are plotted in Fig. 14. Results from this study as well as the overlapping tests and the near field bow and stern wave elevations from A will be used at the Gothenburg 2000 workshop on CFD in ship hydrodynamics. At C, model 5512 is currently being used for unsteady-flow testing in regular head waves. Measurements include unsteady forces and moment with a load cell, far-and near-field wave elevations (Fig. 15) with servo and acoustic probes, and mean and turbulent flow field with a towed particle-image velocimetry (PIV) system. The latter measurements are ongoing and will be archived with the rest of the unsteady data at I. Figures 11 and 12 also include comparisons of nominal wake data for 5512 and pilot and PIV measurement systems. Data differences are similar to data-difference uncertainties. CONCLUSIONS Results are presented from overlapping towing tank tests between three institutes for resistance, sinkage and trim, wave profiles and elevations, and nominal wake using the same model geometry and conditions, including rigorous application of standard uncertainty assessment procedures as per the 1999 ITTC Quality Manual. Two of the institutes used 5.7 m models whereas the third institute used a smaller 3 m model. Comparison variables were defined for data- reduction equations and data differences and data- difference uncertainties. Detailed descriptions were provided of facilities, measurement systems, data- acquisition and reduction procedures, and uncertainty assessment. Results were discussed with regard to levels and causes of data differences and data- difference uncertainties and to estimate facility/model geometry and scale effect biases. For same size 5.7 m models, data differences were in general oscillatory, and in many cases, larger in magnitude than data-difference uncertainties, which indicates unaccounted for bias and precision limits and that current individual facility uncertainty estimates are often too optimistic. Scale effects for the 3 m model are only evident for resistance and trim tests for Fr>0.26 and Fr>0.33, respectively. Facility/model geometry and scale effect bias are estimated based on comparisons, as summarized in Table 3. Uncertainty estimates including such biases may provide better estimates, especially for use in CFD validation, which is the recommendation of the present study along with efforts towards improvement of individual institute uncertainty estimates. Use of standard models and current ITTC efforts in providing standard quality manual procedures for towing tank tests and uncertainty estimates will also be helpful in this regard. y-0.2-0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 0.4 n ~ 0.1 O _ )-0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 0.4 n ~ no 0 1 O F.',.i.~ i ~.i~ . ~ ~v~:~.~:.:~.i.~:.:~:.:i.:.i:.>i:., (and -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 O ~,~4, I,....... (d)-0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 Fig. 15: IIHR 5512 unsteady wave field at four instances in the encounter period: Fr=0.28, Ak=0.025, \=4.572 m. ACKNOWLEDGEMENTS The research at IIHR and a portion of the research at INSEAN and at UAH were sponsored by the Office of Naval Research under Grants N00014-98- 1-0156 and N00014-97-1-0014, respectively, under the administration of Dr. E.P. Rood. The research at 16

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DTMB was sponsored by the Office of Naval Research with 6.2 Funding, administered by Dr. E.P. Rood. The research at INSEAN was also sponsored by the Italian Ministry of Transportation and Navigation in the frame of Research Plan 1997- 1999. REFERENCES Avanzini, G., Bennedetti, and Penna, R., 1998, "Experimental Evaluation of Ship Resistance for RANS Code Validation," ISOPE '98, Montreal, Canada, May. Avanzini, G., Benedetti, and Penna, R., 2000, "Experimental Evaluation of Ship Resistance for RANS Code Validation," Journal of Offshore and Polar Engineering, Vol. 10, No. 1, March 2000 (pp.10-184. G2K, 2000, MOD Gui, L., Longo, J., and Stern, F., 1999, "Towing Tank PIV Measurement System and Data and Uncertainty Assessment for DTMB Model 5512," 3r~ International Workshop on PIV, Santa Barbara, CA, 16-18 September. Haliday, D. and Resnick, R., 1981, "Fundamentals of Physics", John Wiley and Sons, New York, 816 pp. ITTC, 1999, "Report of the Resistance Committee," Proceedings International Towing Tank Conference, Seoul, Korea & Shanghai, China, 5-11 September. Lee, J., Lee, S.J., and Van, S.H., 1998, "Wind Tunnel Test on a Double Deck Shaped Ship Model," 3 International Conference on Hydrodynamics, Seoul, Korea. Longo, L., Gui., L., Metcalf, B., and Stern, F., 2000, "Naval Surface Combatant in Regular Head Waves," abstract submitted 23r~ ONR Symposium on Naval Hydrodynamics, Vat de Reuil, France, 17-22 September. Longo, J. and Stern, F., 1998, "Resistance, Sinkage and Trim, Wave Profile, and Nominal Wake and Uncertainty Assessment for DTMB Model 5512," Proc. 25th ATTC, Iowa City, IA, 24-25 September. Olivieri, A. and Penna, R., 1999, "Uncertainty Assessment in Wave Elevation Measurements," ISOPE '99, Brest, France, June. Olivieri, A. and Penna, R., 2000, "Detailed measurements of wave-pattern and nominal wake of a fast displacement ship model", AFM Conference, Montreal, May 2000. Principles of Naval Architecture, 1967, The Society of Naval Architects and Marine Engineers, New York, N.Y., 827 pp. Ratcliffe, T., 1995, h ~.miV54l S/ Ratcliffe,T., 2000, "An Experimental and Computational Study of the Effects of Propulsion on the Free-Surface Flow Astern of Model 5415," 23r'1 ONR Symposium on Naval Hydrodynamics, Val de Reuil, France, 17-22 September. Stern, F., 2000, Van, S.H., Yim, G.T., Kim, W.J., Kim, D.H., Yoon, H.S., and Eom, J.Y., 1997, "Measurement of Flows Around a 3600TEU Container Ship Model," Proceedings of the Annual Autumn Meeting, SNAK, Seoul, pp. 300-304 (in Korean). Van, S.H., Kim W.J., Kim, D.H., Yim, G.T., Lee, C.J., and Eom, J.Y., 1998a, "Flow Measurement Around a 300K VLCC Model," Proceedings of the Annual Spring Meeting, SNAK, Ulsan, pp. 185- 188. Van, S.H., Kim, W.J., Yim, G.T., Kim, D.H., and Lee, C.J., 1998b, "Experimental Investigation of the Flow Characteristics Around Practical Hull Forms," Proceedings 3rd Osaka Colloquium on Advanced CFD Applications to Ship Flow and Hull Form Design, Osaka, Japan. 17

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Table 1: S mmary of ovsrlmpmgteF conditions for DT~, NSEAN, wmdllHR BXPBR3MBNT DTMB (A) INSBAN (B) 11 B R (C) MODBL GBOMBTRY Ts~pt lss Ts~pt lss Ts~pt lss CARRIAGB SPBBD Mcens~ c ~codsv Op~ cM s~codsv Op~ cM s~codsv RBSISTANCB Lo dceii Lo dceii Lo dceii Fr 005044 005045 005045 Re OM IMeO7 OM IMeO7 093841eO6 T~ ( Cl 17 8 77 1 75 1 p ~8/m ) 998 6960 997 7700 997 0770 v (mbs) 1 0638e 06 0 9547e 06 0 8M5e 06 p Nim) 0 0738 0 07M 0 0777 DdsdemLy XFr=0013 XF}OOI Fr=001 Model t 1~1 dbc 6 ee 6 ee 6 ee XFP, AP SINRAGB TRIM LMwvpols Pot hXpOlS LMwvpols Fr 005044 005045 005045 Re 0 M 1 MeO7 0 M 1 MeO7 0 86 7 77e O6 T~ (~C) 17 8 77 1 M 5 p ~g/m3) 998 6960 997 7700 997 9400 v (m is) 1 0638e 06 0 9547e 06 0 9708e 06 p Nim) 0 0738 0 07M 0 0733 DdsdemLy XFr=0013 XF~OOI Fr=001 Model t 1~1 dbc 6 ee 6 ee 6 ee XFP, AP WAVB PRDF LB Wwp~cli Photo~v yhy 4dh~sbs mavMv Fr 078,041 078,041 078,041 Re 1 19, 1 75eO7 1 19, 1 75eO7 4 47, 6 54eO6 T~ (~C) 70 6 77 1 18 5 p ~9 m3) 998 1560 997 7700 998 5700 v (m~is) 0 9907e 06 0 9547e 06 1 0448e 06 p Nim) 0 0735 0 07M 0 0733 D dS dem 8y 73pl~ 75Pt 41 pis 40 pis Model t 1~1 dbc Lxed Lxed Lxed XFP, AP ( O OM7L, O 00086L), ( O OM7L, O 00086L), (~ 0031L O 00079L), ( O 00054L, O 0083L) ( O 00054L O 0083L) ( O 0015L, O 0079L) NBAR FI BLD WAVBS Whl Mv probs Ssvvo probs Fr 078,041 078 Re 1 19, 1 75eO7 3 81eO6 T~ (oC) 70 6 17 5 p ~g/m3) 998 1560 999 5000 v (m is) 0 9907e 06 1 774e 06 p Nim) 0 0735 0 0745 D dS dem 8y 70 OMS, Bx=0 09L, X:=0 0009L 46 sc19, Bx=0 05, X:=0 005 Model t 1~1 dbc Lxed Lxed XFP, AP ( O OM7L, O 00086L), ( O 0031L, O 00079L) ( O 00054L, O 0083L) FAR FIBLD WAVBS C yach~ceTvobes C yach~ceTvobes Ssvvo/ccow^cTvobes Fr 078,041 078,041 078 Re 1 19, 1 75eO7 1 19, 1 75eO7 4 48eO6 T~ ( Cl 70 6 13 3 18 6 p ~8/m ) 998 1560 999 4000 998 5570 v (mbs) 0 9907e 06 1 IM3e 06 1 OMle 06 p Nim) 0 0735 0 0743 0 0737 DdsdemLy 70Ms d:=0097L mdOM4L 136 oc~,Bx=0016,X:=0003 Moc~,Bx=OOOl,X:=OOI Model t 1~1 dbc Lxed 6t ed Lxed XFP, AP ( O OM7L, O 00086L), ( O OM7L, O 00086L), ( O 0031L, O 00079L) ( O 00054L, O 0083L) ( O 00054L, O 0083L) NDMINALWARB J hoieTvobs J hoieTvobs J hoieTvobs Fr 078,041 078 078,041 Re 1 19, 1 75eO7 1 19eO7 3 83, 5 61e 06 T~ (~C) 70 6 110 17 7 P~8lm3) 998 1560 9996800 9987140 v (m~is) 0 9907e 06 1 76Me 06 1 M73e 06 p Nim) 0 0735 0 0744 0 0744 D dS dem 8y 18 OMS, 358 poM~, variable M OMS, X:=~=0 OM5 77 oc~, X:=~O OM 5 Model t l~lshoc Lxed Lxed Lxed XFP, AP ( O OM7L, O 00086L), ( O OM7L, O 00086L), ( O 0031L, O 00079L), ( O 00054L, O 0083L) ( O 00054L O 0083L) ( O 0015L, O 0079L) 18

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Table 2: S mma~y of unce tamties i or DT=i, 1NSEAN, md IIER ovorl mping tests DTMB (A) INSBAN (B) IIBB (C) BBSULT P B P U B P U B P U S AllFr lOM/o M/o l.VA IOOM M/o O.5V. lOM/o M/o O.5V. Uc 010 7800/o 22O0/o 0.03~/. 9910/o 090/o 0.14~/. 9420/o 580/o 0.66~/. U. 028 6820/o 31 80/o 6.63~/. 9370/o 6 30/o 6.13~/. 85 90/o 14 10/o 6.35~/. Uc 0 41 NA NA NA 99 5M 0 5M 6.1 VA 87 M/o 17 7M 6.1MA C ~;Cn 0 10 76 30/o 2370/o 1.46~/. 69 40/o 30 60/o 3.64~/. 87 60/o 12 40/o 1.46~/. C ~;Cn 0 28 45 50/o 54 50/o 6.33~/. 80 O0/o 20 O0/o 6.64~/. 89 20/o 10 80/o 6.63~/. CTMCR O 41 NA NA NA 66 M/o 33 7M 6.6MA 80 5M 19 5M 6.6MA 7 010 7560/o 2440/o 13.3~/. O0/o 1000/o 43~/. 8220/o 1780/o 4.73~/. 7 028 6840/o 3260/o 5.6~/. O0/o 1000/o 4.71~/. 3040/o 6960/o 1.46~/. 7 041 5630/o 4470/o 3.5~/. O0/o 1000/o 3.63~/. 4280/o 5720/o 6.61~/. 0 10 64 50/o 35 50/o 14.4~/. O0/o 1000/o 33~/. 50 80/o 49 20/o 16.33~/. 028 5470/o 4630/o 3.4~/. O0/o 1000/o 4.76~/. 3610/o 6390/o 1.43~/. 0 41 38 10/o 61 90/o 1.5~/. O0/o 1000/o 6.47~/. 4 10/o 95 90/o 1.76~/. t 028 6450/o 3550/o 3.53~/. 1000/o O0/o 4.14~/. 8370/o 1630/o 3.43~/. t 041 6450/o 3550/o 1.44~/. 1000/o O0/o 3.56~/. 8160/o 1840/o 3.66~/. t w 0 78 14 5M 85 5M 14.MA NA NA NA 75 M/o 74 8M 3.3MA t w 0 78 56 7M 44 M/o 4.MA NA NA NA 57 M/o 47 M/o 4. 75V. t w 0 41 M M/o 67 M/o 3.MA NA NA NA NA NA NA t p 028 76 50/o 23 40/o 3.73~/. 64 90/o 35 10/o 3.46~/. 59 O0/o 41 O0/o 3.43~/. t p 0 41 66 M/o 33 M/o 3.54V. 78 5M M 5M 3.6MA NA NA NA U~ 028 7450/o 2650/o 13.5~/. 6040/o 3960/o 6.34~/. 9920/o 080/o 3.11~/. V P 4350/o 5650/o 6.5~/. 1590/o 8410/o 3.71~/. 9330/o 670/o 3.76~/. W l 4460/o 3540/o 3.7~/. 8790/o 1210/o 6.46~/. 9920/o 080/o 4.44~/. Cr T 845M 155M 3.4V. 818M 187M 6.63V. lOM/o M/o 36.3MA U~ O 6540/o 3440/o 1.6~/. 4780/o 5220/o 6.43~/. 9980/o O20/o 1.36~/. V T 54M/o 467M 3.MA MM/o 788M 1.47V. 997M OM/o 5.54V. W 6530/o 3470/o 6.5~/. 7910/o 2090/o 6.65~/. 9990/o 010/o 4.64~/. Cr 8870/o 2130/o 1.3~/. 7020/o 2980/o 6.11~/. 1000/o O0/o 36.36~/. U 0 28 42 10/o 57 90/o 3.35~/. V P 72 40/o 27 60/o 7.73~/. W l 62 40/o 37 60/o 4.37~/. V 20 80/o 79 20/o 4.73~/. v 34 90/o 65 10/o 4.31~/. w 37 30/o 62 70/o 4.66~/. nv 13 O0/o 87 O0/o 4.66~/. ~w 30 10/o 69 90/o 5.46~/. 19

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DISCUSSION B Beck University of Michig m, USA Since you apparently were domg fixed model tests, was my account taken of the stmding waves that develop in c towing t mk after c long day of testing? AUTHOR'S REPLY Please see the discussion in section "COMPARISONS OF RESULTS Facilities " No special accounting was taken of stmding waves in the towing tanks due to extended periods of te tmg Carriage~un intervals were tw m: mmutes et DTMB md INSE N md tw 1- e mim tes et IIHR to minimi e free-surface effects from previous carriage runs Stmding- wave effects et each facility w re assumed smell due to effective wave damping DISCUSSION L Doctors The University of New South Wales, AU m clic I would I ke to con rat late the mthors on then very carefully conholled experiments, which must certainly tit te the most precise experiments on surface ships ever done It would be mtere ting to estimate She wave reflection effects due to finite width md finite depth of She towing t Inks These effects would be different for all th ee towing t Inks md could be computed recsorurbly accurately with Imeari ed waveless tance theo y it might then be possible to bring the residuary resistmce, for example, mto better alignment for the thee models In Pigme 2(A), w notice c divergence of the results for the residuary resistance et low froude mmmber Plotting specific residuary resistance, rasher f m residuary resistance coefficient, might Therefore be advised AUTHOR'S REPLY Thank you for your kind remarks Differences md scatter in data for low Pr are largely due to limited resolution of the mecsur merit System for low towing speeds md marginally due to selecti m of cmplffier gain setting which was optimum for medium md high Pr measurements The results are presented md discussed es nondimensional coefhcients to facilitate comparisons between facilities DISCUSSION G Jensen Her He Ship Model Basin, Germ my 1) How cm the fomm factor be detemmined for c ship with w tted tr msom according to Prohcskas method? 2) Did you consider shallow water effects in crurlyzmg the date or is that part of the "facility bias"? The INSE N tank is relatively shallow compared to the model length Therefore, et high Proude Number some shallow water effect is expected AUTHOR'S REPLY The fomm factor is used only for date reduction es per ITTC, 1975 The k values are smell, i e, ~0 15 for each facility Shallow water effects are included in the blockage correction to carriage speed for each facility th ough the following equation Tcmurc's fommulc): ~ ~ ~ ~ ) where Am is the midship sectional area of the model, AT is the sectional area of the t mk, LO i the length of the model, BT is the t mk widdh, md Pry is the Pr based on the t mk depthh DISCUSSION D Murdoy Instit te for Marine Development, Canada Would the mthors please comment on the possibility that She differences in resistance et high r En may be associated with the different trims of the th ee models which, in mm, may be associated with different tow pomts? Whet w re the tow points? Some of the sari tbi it in the date may be due to differences in the order of test runs Was the order (for example, low st to highest En, follow d by highest to low st to fill in gaps) specified? Whet was the order used for the tests?

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AUTHOR'S REPLY The towing pomts w re all close to the model CG Each facility used (x=0 5, y=0) but towing height (a) varied somewhat in spite of the differences in towing height, the sirJcage Ed trim data was ve y uniform m magnitude for all models outside of the Fr r mge where scale effects are import mt, i e, Fr<0 33 11 ~let:3~e, it is not felt that towing point position was c signify mt factor in She metsured resi tance differences, Ether, She differences are I kely due to wave breaking The order of tests It each facility m temms of Fr was mdom DISCUSSION K I tmur3 Frof Nagasaki institute of Applied Science, Jcp m Thanks very much for your presenting She fundamental st dies on resist mce tests I would like to ask 3 questions 1) in page 9 of the text, you mentioned blockage effect, Ed I would like to ask you whether you conect the effect or not? It is common m Jcp m to correct it due to the difference of t mk size 2) How do you compensate the effect of cunent in She tank? In other words, do you measure water speed direct x? 3) Do you consider She effect of stmdmg wave of She t Inks used for tests, which may be c msed by towing c model rep ate Pie m c t Ok? AUTHOR'S REPLY The blockage correction is taken into account th ough Tcmurc's formula (see clove) which cdju ts She measured towing speed of the model There is no compensation for the effect of current in the towing t Inks as only the carriage speed is measured Ed not also the water speed directly No special accounting was taken of stmdmg waves in the towing tucks due to extended periods of te ting Carriage-run intervals w re tw nty mmutes at DTAFd Ed INSEAN Ed tw l-e mmutes at IIHR to minimize free-surface effects from previous carriage runs Stmding-wave effects at each facility were assumed small due to effective wave damping

Representative terms from entire chapter:

precision limits