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Twenty-First Symposium on Naval Hydrodynamics (1997)
Commission on Physical Sciences, Mathematics, and Applications (CPSMA)

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. "Hydrodynamic Optimization of Fast-Displacement Catamarans." Twenty-First Symposium on Naval Hydrodynamics. Washington, DC: The National Academies Press, 1997.

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Twenty-First Symposium on NAVAL HYDRODYNAMICS

sometimes high seastates (see, [1] to [5] for examples). It is of particular interest to note, that depending on the specified service speed and payload capacity all designs mentioned above, except for the patrol vessel [4], have been developed assuming steel as main structural material, therefore avoiding the particular problems related to an aluminum alloy or synthetic material structure. The increased structural weight of a steel catamaran introduces additional requirements into the present hydrodynamic optimization problem.

The demihull form of the addressed twin hull vessels can be assumed, by common design sense, to be slender, thus changing slowly in the longitudinal direction, but else being of arbitrary shape. Thus we should consider herein symmetric or non-symmetric demihull sections, but in general arbitrarily shaped thin or slender hull forms, varying else arbitrarily in both the transverse and in the vertical direction. Therefore we address practically all thinkable displacement CATAMARAN hull forms, including SWATHs1 and Hybrids2.

The present paper is focusing on the calm water performance of Fast Displacement Catamarans and their hull form optimization with respect to least horsepower requirement, assuming the desired vessel's speed and displacement3 known and considering various geometric parameters set by design or by other operational constraints. The employed optimization procedure consists of two basic stages, namely, in the first phase a global procedure leading to the main dimensions and integral form and weight characteristics of the ship, whereas in the second phase a local form optimization is performed leading to the exact geometric characteristics and the final hull form of the vessel under consideration. The overall goal of the above optimization process is to generate, with the least possible computational and experimental effort, seakind catamaran hull forms with low weight and resistance characteristics. From the naval architectural point of view these requirements are contradictory, because a seakind catamaran requires moderate stiffness (low to moderate metacentric height), thus small separation distance between the demihulls, what has the additional positive effect of low structural weight, whereas the low resistance (and especially, for fast catamarans, low wave resistance) requirement, that indirectly calls for reduced machinery and fuel weight, suggests a large separation distance for the demihulls, for avoiding the negative interference effects on resistance, that can easily triple the single demihull's resistance [6]. Therefore, a formal optimization procedure for fast catamarans should be looking for twin hull arrangements exhibiting the least possible separation distance for the demihulls, thus disposing reduced structural weight and moderate stiffness in roll direction, without compromising on the increase of the sum total of the demihulls' single resistance. Instead of, it is expected that through proper shaping of demihulls the interference resistance can be tuned to be, for the speed range of interest, small and even below zero. Because of the multiple parameters involved, it seems very difficult, if not impossible, considering reasonable effort, to address the problem of hydrodynamic optimization of fast displacement catamarans only by systematic model experiments. Therefore, a computer-aided hull form design procedure, as presented herein, seems essential for the concept and initial hull form development, that can be later on verified by a limited number of model tests.

The following paper is intended to explain the details of the above outlined theoretical/numerical methods, especially the essence of our thin, non-symmetric twin-hull wave resistance theory as well as our 3D panel source wave resistance method, including the related algorithms and the validation by model experiments. It should further show the impact of theoretical/numerical hydrodynamic methods on catamaran hull form design within a formal optimization procedure and finally to draw conclusions as to the methodology for the design of optimal Fast Displacement CATAMARAN hull forms.

The rest of the present paper is organized as following. Chapter 2 addresses briefly the overall design methodology and optimization procedure. Chapter 3 describes the essence of the employed hydrodynamic module within the formulated optimization procedure. Chapter 4 includes the presentation and discussion of theoretical results for

1  

SWATH: Small Waterplane Area Twin Hull is synonym to SSC: Semi-Submerged Catamaran (MITSUI's Co. brand-name)

2  

Hybrids: herein understood as a mixture of a conventional displacement catamaran hull form with a SWATH: Medium Waterplane Area Twin Hulls (MWATHs), Fast Displacement Catamarans (FDCs, FBM Marine Ltd brand-name), etc.

3  

It is more correct to assume, instead of the displacement, the payload capacity given by the owner's requirements. However, an optimization with respect to the least horsepower requirement, as suggested herein, assuming the displacement and the speed of operation fixed, leads eventually for fast displacement catamarans to ship designs with maximum payload capacity.

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698
Front Matter (R1-R16)
Opening Remarks (1-4)
Progress Toward Understanding How Waves Break (5-28)
Radiation and Diffraction Waves of a Ship at Forward Speed (29-44)
Nonlinear Ship Motions and Wave-Induced Loads by a Rankine Method (45-63)
Nonlinear Water Wave Computations Using a Multipole Accelerated, Desingularized Method (64-74)
Computations of Wave Loads Using a B-Spline Panel Method (75-92)
Simulation of Strongly Nonlinear Wave Generation and Wave-Body Interactions Using a 3-D Model (93-109)
Analysis of Interactions Between Nonlinear Waves and Bodies by Domain Decomposition (110-119)
Fourier-Kochin Theory of Free-Surface Flows (120-135)
24-inch Water Tunnel Flow Field Measurements During Propeller Crashback (136-146)
Accuracy of Wave Pattern Analysis Methods in Towing Tanks (147-160)
Unsteady Three-Dimensional Cross-Flow Separation Measurements on a Prolate Spheroid Undergoing Time-Dependent Maneuvers (161-176)
Time-Domain Calculations of First-and Second-Order Forces on a Vessel Sailing in Waves (177-188)
Third-Order Volterra Modeling Ship Responses Based on Regular Wave Results (189-204)
Nonlinearly Interacting Responses of the Two Rotational Modes of Motion-Roll and Pitch Motions (205-219)
Nonlinear Shallow-Water Flow on Deck Coupled with Ship Motion (220-234)
Radar Backscatter of a V-like Ship Wake from a Sea Surface Covered by Surfactants (235-248)
Turbulent Free-Surface Flows: A Comparison Between Numerical Simulations and Experimental Measurements (249-265)
Conductivity Measurements in the Wake of Submerged Bodies in Density-Stratified Media (266-277)
Macro Wake Measurements for a Range of Ships (278-290)
Time-Marching CFD Simulation for Moving Boundary Problems (291-311)
Yaw Effects on Model-Scale Ship Flows (312-327)
A Multigrid Velocity-Pressure-Free Surface Elevation Fully Coupled Solver for Calculation of Turbulent Incompressible Flow around a Hull (328-345)
The Shoulder Wave and Separation Generated by a Surface-Piercing Strut (346-358)
Vorticity Fields due to Rolling Bodies in a Free Surface-Experiment and Theory (359-376)
Numerical Calculations of Ship Stern Flows at Full-Scale Reynolds Numbers (377-391)
Near-and Far-Field CFD for a Naval Combatant Including Thermal-Stratification and Two-Fluid Modeling (392-407)
Water Entry of Arbitrary Two-Dimensional Sections with and Without Flow Separation (408-423)
Coupled Hydrodynamic Impact and Elastic Response (424-437)
A Practical Prediction of Wave-Induced Structural Responses in Ships with Large Amplitude Motion (438-452)
Evaluation of Eddy Viscosity and Second-Moment Turbulence Closures for Steady Flows Around Ships (453-469)
On the Modeling of the Flow Past a Free-Surface-Piercing Flat Plate (470-477)
Self-Propelled Maneuvering Underwater Vehicles (478-489)
Spray Formation at the Free Surface of Turbulent Bow Sheets (490-505)
Numerical Simulation of Three-Dimensional Breaking Waves About Ships (506-519)
Generation Mechanisms and Sources of Vorticity Within a Spilling Breaking Wave (520-533)
The Flow Field in Steady Breaking Waves (534-549)
Freak Waves-A Three-Dimensional Wave Simulation (550-560)
Bluff Body Hydrodynamics (561-579)
Large-Eddy Simulation of the Vortical Motion Resulting from Flow over Bluff Bodies (580-591)
The Wake of a Bluff Body Moving Through Waves (592-604)
Low-Dimensional Modeling of Flow-Induced Vibrations via Proper Orthogonal Decomposition (605-621)
Measurements of Hydrodynamic Damping of Bluff Bodies with Application to the Prediction of Viscous Damping of TLP Hulls (622-634)
Hydrodynamics in Advanced Sailing Design (635-660)
Divergent Bow Waves (661-679)
A Method for the Optimization of Ship Hulls from a Resistance Point of View (680-696)
Hydrodynamic Optimization of Fast-Displacement Catamarans (697-714)
On Ships at Supercritical Speeds (715-726)
The Influence of a Bottom Mud Layer on the Steady-State Hydrodynamics of Marine Vehicles (727-742)
A Hybrid Approach to Capture Free-Surface and Viscous Effects for a Ship in a Channel (743-755)
Shock Waves in Cloud Cavitation (756-771)
Asymptotic Solution of the Flow Problem and Estimate of Delay of Cavitation Inception for a Hydrofoil with a Jet Flap (772-782)
Examination of the Flow Near the Leading Edge and Closure of Stable Attached Cavitation (783-793)
Numerical Investigation on the Turbulent and Vortical Flows Beneath the Free Surface Around Struts (794-811)
Steep and Breaking Faraday Waves (812-826)
The Forces Exerted by Internal Waves on a Restrained Body Submerged in a Stratified Fluid (827-838)
Influence of the Cavitation Nuclei on the Cavitation Bucket when Predicting the Full-Scale Behavior of a Marine Propeller (839-850)
Inception, Development, and Noise of a Tip Vortex Cavitation (851-864)
Velocity and Turbulence in the Near-Field Region of Tip Vortices from Elliptical Wings: Its Impact on Cavitation (865-881)
Calculations of Pressure Fluctuations on the Ship Hull Induced by Intermittently Cavitating Propellers (882-897)
Hydroacoustic Considerations in Marine Propulsor Design (898-912)
Prediction of Unsteady Performance of Marine Propellers with Cavitation Using Surface-Panel Method (913-929)
A Comparitive Study of Conventional and Tip-Fin Propeller Performance (930-945)
A New Way of Stimulating Whale Tail Propulsion (946-958)
Effects of Tip-Clearance Flows (959-972)
Experiments in the Swirling Wake of a Self-Propelled Axisymmetric Body (973-985)
Hydrodynamic Forces on a Surface-Piercing Plate in Steady Maneuvering Motion (986-996)
Advances in Panel Methods (997-1006)
Effect of Ship Motion on DD-963 Ship Airwake Simulated by Multizone Navier-Stokes Solution (1007-1017)
Large-Eddy Simulation of Decaying Free-Surface Turbulence with Dynamic Mixed Subgrid-Scale Models (1018-1032)
Fully Nonlinear Hydrodynamic Calculations for Ship Design on Parallel Computing Platforms (1033-1047)
Validation of Incompressible Flow Computation of Forces and Moments on Axisymmetric Bodies Undergoing Constant Radius Turning (1048-1060)
The Validation of CFD Predictions of Nominal Wake for the SUBOFF Fully Appended Geometry (1061-1076)
Appendix-List of Participants (1077-1084)