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

Page
927
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Page
927
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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Study on the Prediction of Flow Characteristics Around a Ship Hull K.-S. Min' J. Cl~oi, D. Yur ~ K. Chunk, B. Chan2, S. Chunk, B. Han (Hyundai Heavy ludustrie s Korea) ABSTRACT A long temm R & D :' og am on She predicts m of flow characteristics around c ship hull has ~ en e tablished with She aim of preparing c suffcie tly accurate computational medhod for practical application This program is c mposed of 3 tage st dies The Ist tage st dy on She Investigation of th state of art of CFD technology has been carried out For this purpose, 4 CFD cod s w re selected Using th selected codes, mmmerical computations have bean pert:3rrned for 5 different ships in 4 different ship types together with She experimental measmements Th c mparisons between the e perime tat results Ed th results of c mputation show that present CFD technology need to be farther improved for practical application INTRODUCTION b or r to improve She hyd odynamic perfommance of c ship, it is necessary to have th k owledge on She -I w characteristics around c ship hull Ed to utilize th k owledge in d sign Two medhod are cvaibble to predict the flow characteristics one is the experimental method, that is, model test, Ed th other is She computational method so called c mputational fluid dynamics(CFD) The e. p rime tat medhod is to mecsme She items rented to She flow characteri tics by model te ts This haditiorul method has long I en used Ed has one definite cdvmtage f It c mparctively accurate results could be obtained b geneeal, however, His medhod cd longer time Ed higher co t Fmfhemmore, there are some it ms which could not be measmed by model te ts Those me disadvantages of the e perimental method Th c mputational method is to calculate She characteristics using nowaday's high y developed computers Ed CFD codes This medhod not only is ec Domi 91 in time Ed cost, but also could estimate s me characteristics which me not possible to be me tared by model tests Those are cdvmtages of His method b general, however, She c mputaticrurl medhod does not have sufficient accuracy Ed reliability y t for th practical mplicatims This is She fatal disadvantage of She computation medhod b order to improve She CFD technology for She prediction of -I w characteristics around c ship hull, rented tudies have I ecu actively carried out in She world Ed I terrutional CFD Workshops have Hen h id f ee times(Larssffn 1930, Lsrssen et al 1991, Kodsmc 1994) Followmg She worldwide trend Ed necessity, Hy ndai Maritime Research Imtit te HMR has established th long temm R & D Frogmm on this subject Ed has carried out She tudy The ultimate goal of She ~eier;h program is to prepare c suffcie tly accurate predicts m method for th practical mplicati ms Ed to efhciently utilize the method for She act cl design Ed pe fommance srLthsis This prog cm is composed of 3 stage tudies as follows: She I t tage st d:: Irrve tigation of th state of art of CFD technology the 2nd tage tudy: Improvement of CFD technology to the level of practical application the 3rd stage study: Study for the act cl utili ction This pmer deals with the Ist tage st dy of HMRl's long temm R & D prog cm Ed mcludes She followmg contents: Selection of CFD cod s Calculati m of flow characteristics Mecsmement of flow characteristics Comparison betw en te t results Ed She results of calculation Evalucti m Th refcre, the primary pmpose of d is study is m the validation of prese t CFD technology After She f 11 evuluatim of th Ist stage tudy, be f the duection of She CFD study shall be established For She sake of universal validity in She result of th tudy, 5 differe t ships in 4 differ t ship type have been selected as the object ships such as very k ge cmde oil carrier Ed k ge si e bulk carrier as She

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f 11 slow sped ship type, LPG carrier es the f 11 medium sped ship type, I xge si e contcirux c xrier as fhe fme medimm peed ship t pe md r~l ship as fhe bU fne high sp cd ship type Those ships wxe actually —= 0 built md delivered in 1 990's dx, For fhe computatiorul aruly is, total 4 CFD codes w ~e selected, thct is 3 w 11 Im wn commemial codes mdHMR cod Thethecommxcialcodesare STAR CD, FL NT md SH FFLOW b iticlly, CFDSH F IOWA code was mclud d How ver c mputation by CFDSH F IOWA cod has not be prog~essed satisfactorily, md it was decided not to mclude m this pep x E ormous cmou t of c mputatiom md measmements have been carried out Due to th limited space, however, only the brief summxy shall be p~esented md discussed in fhis pep r NUMERICAL METHODS The d tails md f xmulations of th mmmericcl medhodologies for CFD me w 11 mow md e tff~sively docmmented in mmy litemt ~es Hence, only mcm fectmes of fhe methodologies will be described in this p me' Fu t of cll, fhe d cl coordirute y t ms have ben cdopted es shown in Fig I The global coordincte sy tem(x,y,z) is defm d to represe t th flow pattxm around hull as positive x in the flow di~ection, positive y starboard, md positive z upwxd wh ~e the origin is et th bow md undist rbed fie smface; while th local coordirute syst m(x',y',E) to enlur~e fhe usefulness of calcuLted wake pattems in fhe propeller desigm whe~e fhe xigin is et fhe center of propelle' The phy ical qu mtities m the pep r me n mdimensicrurli cd by ship lengfh betwen pxp ndicuLus~s), ship peed(lJo), md flui d dem it p) ~, ~ ~ ~ :_ . _ Fig I Coordincte Sy tem V'seous BOw The mmmericcl procedure p~esented m fhis pmer d als with me mpressible flow The basic eq ctions f tt govem the flow xc to describe th (1) ' + U. ' = bt ~ dx~ x, + dx (R d ' u,ul) (2) wh ~e U. P. Re, u~u, xc fhe velocity, piezomehic pressme, Rey olds No, md Rey old shess ~e pectively b ordx to p~edict t rbule t flows vie fhe quctions, it becomes necessary to mcke closme assmmptiom about the Rey olds t~ess, becmse fhe quctions do not comtit te c closed set The turbulence mod is md process of exp~essi g fhe Rey olds shesses m temms of th Imow qumtities cm be categorized mto Rey olds t~ess model RSM md eddy viscosity mod I dVt~ b RSM, fhe partial differenticl eq cti ms f x fhe Rey olds st~esses xc fxmuLted md solved The RSM mclud s the effect of some impxtmt factors, such as fhe t~eamlme curvat ~e md th body fmce et, m the chxactxistics of the t rbulence, but r qui~es cdditional computation to solve the particl differential quctions for fhe each components of fhe st~ess Furfh xmme it is still necessary to model some of t xms m th u equatims Altxnatively algeb~aic shess mod l(ASM using th algebrcic equati ms imtecd of fhe particl diffxe tial eq ctions, on the cssumption f tt cor~ctive md diffusion txms m RSM is Imexly d pendent on fhe t rbulence kinetic ffUxgy k c m be mpliedto sevexal e gmexi g felds b the E M, based on fhe Boussmesq's hypothesis, fhe Rey old t~esses me ~ep~ese ted es m m velocity g~adients The E M are ckssed i to zero, one, md two quction models according to fhe m mber of partial diffe~e tial eq ctiom Th mo t wid Iy used model in engmeermg mplicati ms is fhe k~ model m conjm tion wifh fhe wall fm ti m m teed of fhe fne meshes near the wall surtcces b sol mg flow pattems arommd 3 dimem iom~l bodies, it is convenient to use fhe boundxy fitted Coordinate sy tem The particl diffxenticl quction to h msfomm fhe phy iccl domcm i to fhe computatiorul domcm mu t be solved, govexnmg qucti ms clso be h msfommed This t m f xmation m be divided i to two way: one is thct both ge metriccl md phy ical variables a~e trm fommed The oth r is that only geometrical variables me tr m fommed From fhe

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viewpoi ts of mmmxical procedmes, the pintial h inwiformation is simpl x, but invokes m m xical xrors whff~ the dismepmcy betwen fhe flow t~eam md phy ical coordi die is k ge To solv fhe gowxnmg quations, the flow domain is subdi id d mto z fmte mmmbx of cells md fhes quatiom xc ch mged mto zlgeb~zic fomm viz th disxeti ztion process such zs Finite Diffe~ence Medhod FDM, Fmite Volmme Method(FVM), Fimte Analytic Method FAM, Fimte El me t Medhods FEM) md so fo th However, the govemmg quations zre nowinear md cwwpled fomms of fhe contim ity md mome tum eq ztions A d, hff~ce it is necess xy to us m iterativ proced re: SltdPLE(S ml implicit Method for F'essme Lmked Eqwrtiom), A tifcial c mpressibility Methods, md FISO Pres w~e implicit wifh Splitti g Operator) etc The SltdPLE is one of th mo t widely us d procedmes, but is less cc momical f m th more ~ecent F150, especially m mmsteady problems, be mse with S MFLE th iterati m is ~equnedateiKhtimestep Before solvmg fhe quations, th grid mside flow domain must be geruxated Th grid pattern c m be categwi cd i to tmct ~ed md mmshw t red grid The tmctmed g ids do not ~equi~e sp cial atte tion to defme th com ctivity betweff~ cells bee mse the~e is one to one cone pondence betwen zdjacent faces of neighbori g cells Th un tructmed grids zllow mesh ml mat h on th mte fiKe betw ff~ zdjiKent cells md w block, fhus locally enhar~mg th mmmxical ~esolutions whe~e ~equired Potential nOw The fl w is zssumed stedy, inotational md mc ompres sib le Th p ote t ial ~ of the dist rbe d vlocities(~) is deftned by quatim (3) md will sati fy fhe Lcpkce eq ztion (4): U = V; (3) V2¢ = 0 (4) On fhe hull boundary the nommal v locity mu t be zero, md on the f~ee s fiKe boundiny z simibr relation holds This kmematic condition may be w itteniKi: ~h~+¢yLy h7=0 (s) whxeh(x,y)iseq ztionforthewz yrufiKe A dy zmic fie smiace c mdition may be obtcmed fi m the contmuity of fhe shesses ivxoss th fiee s rtace This condition degenerates to fhe simple tatements that th pressme mu t be atmosphxic zt fhe s rtace, md wifhout fhe generality this prew re may be s t zero Neglecting rmfiKe temion md mplymg fhe Bxnwwlii equdtion the dynamic fie wrtace bommdary condition may be w itten: gh+2(~+~+~2 U2)=0 (6) Finally, the v locity is undiswrbed dt mfmite: V¢=Uo ~ x:+~ (7) Th se fie w fiKe bommdary conditions zre wnlinear imd fhey hav to be zpplied zt im imtially mDcoow su fiKe iteration procedwre, usmg fhe solution on Imeari cd bwwndiny conditimms, xc geruxally zdopted SELECTION OF CODES For fhe rake of univxwl validbty of this tudy, totcl 4 codes w re selected, fwrt is 3 w 11 k ow commemial code(STAb CD, FLU NT, SH FFLOW) imd HMK code The chxiKteri tics of eiKh code hcs been summarized m T wle I Tzble I Chara>teri om _ Govemimd equ dion _ TurbMenoe model _ Near wall FF di~ _ di6ereh dMn Grid 6Z tem _ Variable la~out Velooit~ Fremure t oouFlmd _ NS: Full NS Zonal: Fote tial/loteg z~Full NS bE:Stmdxdkd MKE:Modiftedkd WF: Wzll fwoction 5: Shw tmed SG: Stzggxed Charactxi tics of CFD Codes EMKI NF KE WF FVM s FG FIMFLE FLUENT NF MKE WF FVM us NG UMFLE US: Un tmctmed NG:Non stcgge~ed

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EXPEF IMENTAL METE[OD The mod I te ts were c mducted et fhe dep water Towmg TY k of Bl~Rl Th si 4 of fhe tY k is 210x14x6 m in lengfh, width md depth, re pectively, wifh maximum cYri4ge peed of 11m/s Th co tents of fhe model tests, mecYring it ms, md dab acquisition c mditiom to mvestigate fhe flow charm teristics around c ship Y e show in Tcble 2 Tcble 2 Model Tests md Deb A 4uisition Condbtions _ bme(6eo) 40 _ _ 40 15 All fhe tests, except the resi tance test, w4'e cYried out 4t fhe fw4d model conditim with 4ro smkage md trim, md w4'e cond cted 4t th desig sp cd Durmg th mesm ments of waw4 elevation md local ~41Ocity, the mod I was moved mto fhe po t by 300 mm for the gmges to be ac 4ssible Ti st desenphou Duri g the resistm 4 tet the model ww provided with no cppendcges md flv4e m ~4 ticcl moti m except Dex oy r mod I ship b the ewe of Destroy r model ship, fhe resi tance te ts w4'e perfommed et th conditiom wifh 4ppff~dages md wifhout cpp nd4ges The towmg pomt was located 4t LCB md b B. For the global wa~4 elevation mewmv4ments, fhe longit ddrul cut method ww utili cd Fom wa~4 gmges of ccpm itY e t pe wifh 50 mm interval w4'e tied up m om4 umt, so f 4t four Imes of wa~4 elevation date were obbmed in c smgle ma This holder ww mo~4d clong c tmss CttY hed et the sidewall of the t mk Triggermg signal is provided by m opticcl wit h 4t 4 62 m be4d of FF to id ntify the location For th local waw4 elevati m mewmv4ments, fhe prolx4 of servo edle type ww cttsched 4t c ha~4rsi g mechmism md incliru4d by 45° to be Y 4ssible To mex re th waw4 elevation along the h 11 x rface, th ee pers ms ~ecdthe waw4 profile mdthe aver4ge was bkff For the local velocity mecY r ments, c rYke wifh fl~4 Sbole Fitot tulx4s ww ux4d The 5 hole Fitot t be h4d sphericcl tip wifh 6 mm in d64meter md th mgle betweff~ w4s of cc ter hole md side holes ww 30° Esch tube was com eted to c p~v4ssmv4 h msd cer Th kiru4matic calibrati m r mge of th Fitot t bes ww +30° of pit h md yaw mgle if the flow mgle to lx4 mesmv4d was out of the calibration r mge, fhe date was d6xorded The mexr ments w4'e cYried out across fhe cente pb~4 to confum th symmeby of flow Th verticcl holes to fhe h 11 smiace wifh 3 mm m dYmeter were piemed for the meemv4ments of fhe hull presx re The holes were on fhe keel Ime md m th sbtion 2 md stati m I with 20 mm spacing Th flow liru4s on the h 11 were lsualized usmg pal t The paint was Ym cpproprYte ml tme of dy, oil pcmt, wax, Ymd fhl mer Th optimum mixmg mte will lx4 obtamed fiom the try md error Uueertehty eu~dysls Th m erbmty ar3~ly is for fhe resistY e tex we perfommed by fhe ~ec mmff~dation of fhe 22 4 ITTC resist m 4 c mmittee For the oth r texs, the bie Ymd precision errors of th g mges; Ymd precision en ors of fhe meemv4me ts w4'e m~4stigated Th accurm y of the model geomeby LB,d) is (1, 1, 1) mm The bie md precision encrs of fhe gmges are listed m Tcble 3 The resid al flow of fhe tmk is 0 001 m/s in case of fhe wa~4 elevati m meeur me ts of the hull eye The mcmacy is wifhm +1 5 mm The a~4mge value of fhe stmdYd devimims of fhe mecYr me ts for fhe local waw4 elevm i m md fhe hull p~essme are 0 2 mm md 9 764 N/m, respectively Tcble3 EnorSom 4soflmtmmentstions b shmmentmi m BYS limit Frecision mdx Velocity (m/s) 0 001 0 0015 Dy 4mometer (N) O I Thermometer (°C) 0 24 0 16 Wa~4 probe (mm) 0 3 0 7 Traw4rse (mm) O I I F'esY re t msd cer psi) 0 00625 0 0057 SELECTION OFTEtE OBJECT SB~PS Th object ships selected for mecYr ments Ymd m merical Y~ly es comprise 300,00 TDW V CC, 170,000 TDW bukk carrier, 6,300 m LPG carrier, 4,200 TEU co talner cY rier md 5,000 tom 4 d xroyer Th se fl~4 ships have representmive hull forms of f ii sl w xpeed f ii medmm sped, fme medbum speed Ymd flru4 higb sped ship, rexpectively Fig 2 shows th body pEms md side profiles of fhe ships TY le 4 md TY le 5 sh w the prmcipal

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parti tlars of fhe objected ships md model propellers, t Spectively 300,000 TDW VLCC is fhe KTTC Korec Towing Tmk Co ference) t mdard ship for the tudy of flow characteri tics arommd the hull Kim et al 1999, Vmetcl 1998cb,Choietal 1999) This shipisveb simibr to th ship which was selected w the one of th test ewes for the Gothenbmg 2000, c workshop m CFD m ship hyd ody tmics Of her ships are either HH Hy ndti Hec y Indushies) stmdard ships m actualshipsmarmiactut d ttHH inl990's Model ships w t mcde of wood in mder to gener tte turbulent flow, fhe st ds of cylind ical shape(3 2 mm m diameter, 2 5 mm in height md 25mm mtervul) w t loc tted et St 19 5 md middle of fhe bulb for fhe ship mod is havmg bow bulbs For fhe d shoy r model with t bulb, t rbulent stimulltors were located tt 50 mm offthe bow Th sccle r ttioO of fhe model ships is 47 56, 36815, 14959, 37441, md 276 for 300,00 TDW V CC, 170,000 TDW buk carrier, 6,300 m LFG carrier, 4,200 TEU contamer carrier, md 5,000 torme d shoy r, t spect~vely Tcble 4 Frmcipcl Farticukr s of the Object Ships 300,000 TDW 170,000 TDW 6,300 m' 4,200 TEU 5,000 tocce VLCC bulk carrier LPG mrrier coct dner csuier destroyer L~(m) 32000 27800 9840 25990 13800 LWL (m) 325 50 283 00 99 69 265 80 138 00 B (m) 58 00 45 00 15 70 3220 1740 T(ml 208 165 60 115 47 5 (mi) 27320 19044 1 2208 8 107424 2201 9 V (m ) 312737 5 174274 7030 59526 5273 Lc~ (m,fwd +) 11 136 8 765 0 948 4 277 2048 C~ 08101 08443 07584 06185 04673 C~ 0 8118 0 8465 0 7723 0 6499 0 6070 kD ~ D 10 ~ t D 20 ~ (c) 300,000 TDW V CC 0~)172,000 TDW Bulk Carrier

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a: t'° RESULTS AND DISCUSSIONS (c) 6,300 m LPG Carrier (e) 5,000 tom Ck ss Desh oy r Fig 2 BodyPkms mdSid Profiles The selected CPD codes md fhe flow characteri tics to be ccicuhted or measut d have been smmmari ed m Table 5 C mputttiom md measut me ts have ben conducted acccrd6ng to Table 5 for each of 5 d6ffet t ships, md c vc t amou t of mfcrmation for fhe flow characteri tics have beert pt pared mong fh m, fhe followmg characteri tics shcil be presented selectively: resi tance profile wave elev tti m loccl resi tance velocitydi tribution limitmg stt tmlit pt ssme di tribution wake( tt the prop ller plane) Tcble 5 CPD Cod s md Characteristic to Be Cal tk ted or Mec tred Chsrscteristics H C P Viscous O O O Resishace Wave X X X Oversil X X X Protile X X X ElW~s~vtleon Locsl X X X Glob~ X X X Locsl resishace O X X Limiting stresm ice O O O Velocih distriLctioc O O O Presscre distriLctioc O O O Bocads y Isyer O O O Wske O O O _ _ b Tcble 5, fhe symbols of H. C, P. S. md M represent HMk, STAR CD, PLUfiNT, SH PPLOW codes, md mod I te t, t sp ctively

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Resi tance md self propulsion te ts w t c mducted accordmg to fhe ITTC St mdmd Proced t Fomm factors w t detemmined usmg fhe resist mce values mea tred tt th low speed t giot Resistance itself hcs beert n mdimensimurlized to resist mce ccefft ients Thet fot, fhe total t sistance ccefficie t for fhe mod I ship (C t c m be represe ted by the sum of viscous resistmce coefficie t(Cv~ md wave t sistance coefhcie t as shmwn in equ tti m (g) C~, = C~, + CW = (I + k) CDU + CW (g) b eqtwtion (S), k md CFM represe t fomm factm md fi ictiot~l resi tance coefficient, respectively b c mputatimurl analy is, iscous resistance c tld be comidet d to be composed of two tt ss c mponents which are pemerldicular md t mgential to fhe ship hull, t sp ctively Whert twm tress coefficients perperldicular to md t mgential to fhe hull me denoted by Cv~ md CVF, vise ts resist mce coefhcie t c m be obtamed as follows: c~U = c>7 +c~ = 1(cy~ +c~ Kind ot Ship 300,000 TDW VLCC 1 70,000 TDW bulk mrrier 6,300 m3 LPG mrrier 4,200 TEU cochmer mrrler 5,000 tocce destroyer (withoct sppecdsges) b equ tti m (9), c,~ md cv~ me the pemend6 thr shess coeffcie t md th tmgential tt ss coefficient actmg m fhe mmit section of the hull, md c m be e pressed as follows: 4~ = 11Cp g~dA cvf = llcf g~d4 ,/~ )4X (9) (1 o) (11) Th resist mce ccefficients obt tit d m this way hcve been summari cd m Table 6 Table 7 shows fhe comparison of t sistance characteristics betw ert te t t tlt md computed result As show t m Tables 7 md S. fhet me comidemble diffet t betwen c mputed md measmed results Futh mmore, th t tlts of computatim me not comiste t Farti tlarly. fhe computed t sults of wave t si tance by SE FFLOW code differ from the te t result very mt h Even if fhe conhibution of wave t si tance to total resi tance tt d sign sp cd is genemlly less thtt 2% for f 11 slow peed ships, the reas m of fhis ddscrepff~cy should be mvestigated md improved Fm practical purpose, my predLction method should have at lea t +3%, or prefembly +2% accutacy md pt cision Table 6 Comparisons of Resist mce Chmacteristics between Model Tests md Numerical Calcul tti ms Method M H F M C F M E F M E F M H F s CVM I 00 00 95 34 98 93 105 03 9323 10000 9917 115 41 78 08 89 99 10000 83 97 95 44 103 99 90 80 10000 10793 98 65 109 87 103 39 10000 145 96 96 71 100 72 10066 1 cw 1 Cl,,, 1 10'0 10'0 j 1126 19 10000 776 60 10000 13491 10000 104 40 lOtOO 98~52 lOtOO IOS46 100000 343 33 10000 12099 lOtOO 93 67 1 97 64

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Table 7 Resist mce Characteri tics Model Scale) Kind of Ship Test Condition Medhod C Mxto3 C Mxto3 CwxlO C Mxto3 Model test 3 841 0 042 3 883 LM =6 728 m E~1 3 662 300, 0 TDW :1 6 m/s STAR CD 3 174 3 800 Fn =0 142 FLllENT 4 034 SE FFL W 3 581 0 473 4 054 Model test 3 737 0 047 3 784 LM=7 551 m E~1 3 706 170,000 TDW 1 272 m/s bulkcarne R :097 10 STAR CD 3006 4312 Fn=0 147 FLllENT 2 918 SE FFL W 3 363 0 365 3 728 Model test 3 705 2 475 6 180 LM=6578m E~1 3 112 LFG car ~er ~t 995 m/s STAR CD 2 976 3 536 Fn =0 249 FLllENT 3 853 SE FFL W 3 364 3 339 6 703 Model test 3 038 0 24 3 277 LM=6 942 E~1 3 279 4,200 TEU 2 018 m/s co tamercarrier R ~ 40 10 STAR CD 2821 2997 Fn =0 239 FLllENT 3 338 SE FFL W 3 141 0 824 3 965 Model test 3 340 2 545 5 885 5,000 tom~e LM =5 0 m E~1 4 875 d~sp=nt :2 98t m/s STAR CD 2 952 3 230 (w6-ho t Fn =0 425 FLllENT 3 364 SE FFL W 3 362 2 384 5 746

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Wave profile Fig 3 shows th comparis m of wave profile between measured result md computed result by SH FFL W code As shown in Fig 3, two results cg e w 11 except in the forward part md fihe Oft part As w 11 know, however, even fihe linearized potential fiheob predicts wave profile verb w 11 For the regi ms apart fi m th hull, particularly m fihe wake legion, th c mputed result shows the exaggerated wave elevation for all kinds of ship Oo _ 0 I~ ; for Local resistcoce (c) 300,000 TDW V CC (c) 300,000 TDW VLCC O 6,300 m LEG Carrier 0 03 04 06 08 ~ K) 4,200 TEU Co tamer Carrier Fig 3 Comparison of Profile Wave Elevati m Fig 4 shows th local resistance coeffcie 33 predicted by HtdRI cod Since it was not possible to be calculated by ocher codes, comparison could not be made How ver, it could be d duced Fiat fihe c mponent d e to pe pff~dicular to ship hull is dominent m th foreyard md oft pants while th component due to Fiction is domment m fihe middle Begun ~ . ~ i, ~ ~ ~ ~ ~ ~ ~ K) 6,300 m LEG Carrier (d 4200 TE (e) 5,000 tom Desh oy r Fig 4 Longitudinal Distribution of Local Viscous Resistmce Components byHfifRI Code

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Velocity distribution Fig. 5 shows the axial velocity distribution for 30O,000 TDW VLCC at the longitudinal position of station l~x=0.95~. Due to rapid change in hull shape, there exists low speed region in aft part. This region could be well measured by experiment. In general, however, the computations do not show this region clearly. Particularly, the compution by HMRI code shows comparatively thicker boundary layer thickness and slower velocity gradient. o z 1~ 1 - ' 5-- -0.06R / =, -0.08 1 0L -0.02 1 ~,,- -0.08 ~ -0.02 -O.OX o -0.02. -0.04 -0.06 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0.02 0.04 0.06 0.08 -0.08 y (a) Experiment --—, . it,, O S- I 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0.02 0.04 0.06 0.08 -0.08 y (b) HMRI z -0.02 -0.04 -0.06 . . . . . . . . . . . . . 0 0.02 0.04 0.06 0.08 y (c) STAR-CD ,,,,/ <./ -~',o.1 A/ / / 0 0.02 0.04 0.06 0.08 y (d) FLUENT P OCR for page 937
Limiting streamline Fig. 6 shows the measured and the computed limiting streamlines for 6,300m3 LPG carrier. It is clearly shown in Fig. 6 that the measured streamlines are directed downward in the forward part and upward in the aft part. However, the angle of computed streamlines with respect to free-surface is not as steep as that of measured in the forward part. In the aft part, the computed stremlines are concentrated to the propeller shaft region rather than direced upward particularly, those from HMRI and SHIPFLOW codes). Furthermore, the computations by STAR-CD and FLUENT codes show flow separation in the wide region of aft part. The results from SHIPFLOW code also show this phenomenon weakly. However, this separation phenomenon has not been shown in the results of paint test. The method of paint test is not sufficient to validate the separation and further study is necessary. (a) Experiment (b) HMRI (c) STAR-CD (d) FLUENT (e) SHIPFLOW Fig. 6 Limiting Streamlines for 6,300 m3 LPG Carrier

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Pressure distribution Pressure measurements on the hull suface have not been carried out yet, except on the keel line. However, computations have been performed for all CFD codes. Fig. 7 shows the comparison of pressure distribution on the keel line for 3 selected ships and Fig. 8 shows the computed pressure contours on the hull for 17O,OOO TDW bulk carrier. In general, the characteristics of pressure distribution is in accordance with the direction of the limiting streamlines. It is shown in Fig. 8 that rapid pressure changes occur in the forward and aft parts where hull shape changes rapidly and that the rate of pressure change is greater in the forward region than in the aft region. (a) HMRI (b) STAR-CD (c) FLUENT (d) SHIPFLOW Fig. 7 Pressure Contours on the Hull for 17O,OOO TDW Bulk Carrier

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0.00 0.25 0.50 X (a) 30O,OOO TDW VLCC 1.0 0.8 0.6 0.4 ~4 0.2 0.0 -0.2 -0.4 o Fop. HMRI ----- STAR-CD ------ FLUENT -''-''-''-'-- SEUPFLOW 0.75 1.00 o Exp HMRI ----- STAR-CD ------ FLUENT -''-''-''-'-- SEUPFLOW 0.00 0.25 0.50 0.75 1.00 X (b) 6,300 m3 LPG Carrier 1.0 0.8 0.6 ~ 0.4 l 0.2 ~ '1 0.0 ~ _ +,,=_ __ _ A_ -0.2 0 4 0.00 o Exp HMRI ----- STAR-CD ------ FLUENT -''-''-''-'-- SEUPFLOW 0.25 0.50 0.75 1.00 X (c) 4,200 TEU Container Carrier Fig. 8 Pressure Distribution on the Keel Line Wake~at the propeller planet Fig. 9 and 10 show the axial velocity contours(wake) and velocity vectors on the propeller plane for 17O,OOO TDW bulk carrier and 4,2000 TEU container carrier. It is not easy to make a definite comparison between the measured and the computed results with these figures. Therefore, the radial distribution of mean axial velocity, that is, the circumferentially averaged radial distribution of axial velocity has been prepared, because this information is used in the actual propeller design. It has been found that there are rather big differences between the test results and the computed results which could not be accepted in the practical purpose. /,f: / Jo,_ , 0-2037 ,i ~- ,;,,/,,>/ ,, 'A ,~ ; ~ Itt I~g , ~ ~ ~ / , a::, ~ ~ ~.J O.' O.4 O.` O.2 r/R 0.( -O.. -O.` -O.4 -O., j j~ , \, \\ ;\ ,iw , 1.0 ~ ., I 0.8 ~ ''. 0.6 -\ \, 0 0.4 .- \ 0.2 ' ,; r/R . -02 \ ,. -0.6 -0.8 -1.0 , 1'''' ~ i,- / chub {' ,, / ' / , ~ / 0.2 (b) HMRI 0 ~ (IS r/Ro.o ~~~ - ! ~ ~ \ r/Ro.o ~~,~· ~~o~ \;'¢\x~ -02 'I -02 a: ". -0.6 ~ a/ ~ ~ ~ <~ 0. -0 8 -0 0.2 (a) Experiment (c) STAR-CD ~ :~ :::: (d) FLUENT 1.0~ 0.8 lti~ > I\,, r | ~ 2 -0 2 7> ~ ,.~, : -0.4 -0.6 . -0.8 ~:~ ~2 -1.0 (e) SHIPFLOW Fig. 9 Axial Velocity Contours and Velocity Vectors on the Propeller Plane for 17O,OOO TDW Bulk Carrier \ . ,. ,~ il

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l.or 1.0 _ 0.~ n , O. O.' r/R 0,1 n n. -0.1_ -0.O -1.0 · ~~ i ,1'1, Oo At,. .. \ ~ (a) Experiment n' o. O., ~ r/R 0.~ -O.2 -O. . -0.1 -0.8 --- -1.0 ~ ~ 0.2~> ~ - f 1 o.o ,~. ./ ~ i I'm\ -0.4 -0.6 -0.8 -1.0 D ~~ 0.6 ; r/R ; .k',/\i~ O ( ,~.~ .~ ,~ 0.4 it,/ -0.6 -O. 0.2 -1.0 1.0 0.8 ~ i' i: \ 0.4 _ 'I ' it's\ -0.2 , i I , -0.4 ' 1 ' -0.6 ~; i,' -0.8 ~'~ ~ ~ ~2 -1.0 (e) SHIPFLOW 0.t ji/. ~ ~ ,~ 1- . ,. Am\ " . /-1 I · \ Ace j ~ j (b) HMRI .. 1.0 ~ . l Leo, I · ~ \ \,' ~ ~ ' 1 ' ~ ' '' \\ ,1 \ . /\ ~ v. I .! \,< . \ \ \ ' l ,~ Ad. i. \ . \. \. WE . Ado.\> >.~ I l. ..~ \ \. . '. I. \ . \ . . to \; by \. ~ \y I, \1\ ~ joey ,- ~.\-I\` Jo \ \ \. ~~ ~s1~ 1 >!'''l''1''~ Hi/:>,, I , ! ; ~ j \ j \ j j ~ . . '3,,K,~ V\ ht ~ \ Vow V ', v -A ~ , i; i; \; \/; ~ . \ ./ -. ,' ,,'1N 1 /' \ i ';; 1 ' ~ 1 . =, I/ ;~Y \; i ~ ;/' ~ \/ ~ ~ j \; V i ~ i i 1/, j ~ j i; \/j,;, = ~ 1 1: i ~ i ~ (c) STAR-CD (d) FLUENT 0.~ r/R 0.0 Fig. 10 Axial Velocity Contours and Velocity Vectors on the Propeller Plane for 4,200 TEU Container Carrier CONCLUSIONS The flow characteristics around a ship hull were investigated through the numerical and experimental methods. For the numerical analysis, four CFD codes (STAR-CD, FLUENT, SHIPFLOW and HMRI) were used. These numerical results were compared with those of model tests. The object 5 ships were actually built in 1 990's. In general, the comparison between numerical analyses and model tests showed rather large discrepancies and lack of consistency both quantitatively and qualitatively. Further improvements in the accuracy and the precision of the codes are necessary in order to be used for the practical applications in the prediction of flow characteristics and hull form design. And it is also necessary to know the flow characteristics in the full scale of a ship by the numerical and experimental methods. Among the four selected codes, only SHIPFLOW can treat the free surface effect using the potential flow theory based on the Rankine panel method. Large differences between analyses and model tests were especially shown for wave pattern around the stern of a ship. The effects of the free surface to the flow characteristics around a ship will be more clearly concluded later after further analyses using the free-surface viscous code based on RANS equations. As was mentioned in the Chapter of Introduction, the 2nd and the 3rd stage studies will be carried out based on the results of present study. REFERENCES Choi, J.E., Sea, H.W., Han, B.W., 'Experimental Study on the Flow around a Full Slow-Speed Ship', Proc. of JAKOM'99~ 4th Japan-Korea Joint Workshop on Ship & Marine Hydrodynamics, Fukuoka, 1999. Kim, W.J., Kim, D.H., Van, S.H., "Calculation of Turbulent Flows around VLCC Hull Forms with Stern Frameline Modification", Proc. of the 7th International Conference on Numerical Ship Hydrodynamics, Nantes, 1999. Larsson, L. (editor), "SSPA-ITTC Workshop on Ship Boundary Layers", SSPA Publication No. 9O, 1980. Larsson, L., Patel, V.C., and Dyne, G., "Ship Viscous Flow - Proceedings of 1990 SSPA-CTH-IIHR Workshop", Flowtech International AB, Gothenburg, Sweden, 1991. Kodama, Y.(editor), "Proceedings of CFD Workshop Tokyo 1994", Tokyo, Japan, 1994. Van, S.H., Kim, W.J., Kim, D.H., Lee, C.J., "Experimental Study on the Flow Characteristics around VLCC with Different Stern Shape", Proc. of the 3rd International Conference on Hydrodynamics (ICHD), Seoul, 1998. Van, S.H., Kim, W.J., Yim, G.T., Kim, D.H., Lee, C.J., "Experimental Investigation of the Flow Characteristics around Practical Hull Forms", Proc. of 3rd Osaka Colloquium on Advanced CFD Applications to Ship Flow and Hull Form Design, Osaka, 1998

Representative terms from entire chapter:

ship hull