Proceedings of the Sixth International Conference on Numerical Ship Hydrodynamics -- SPONSORS -- PREFACE -- Contents -- SESSION 1 WAVY/FREE-SURFACE FLOW: PANEL METHODS 1 -- Fully Nonlinear Water Wave Computations Using the Desingularized Method -- ABSTRACT -- INTRODUCTION -- FULLY NONLINEAR PROBLEM FORMULATION -- NUMERICAL TECHNIQUES -- NUMERICAL RESULTS -- Numerical Wave Tank -- Heaving two-dimensional rectangle -- Heaving axially-symmetric bodies -- Wigley Hull Starting from Rest -- CONCLUSIONS -- ACKNOWLEDGEMENTS -- REFERENCES -- Rankine Source Method in High Speed Range -- ABSTRACT -- NOMENCLATURE -- INTRODUCTION -- FORMULATION OF TWO KINDS OF RANKINE SOURCE METHODS -- 2-D circular cylinder -- Hydrofoils -- RESULTS AND DISCUSSION -- Results of 2-D circular cylinders -- Point Doublet -- Surface Source Distribution -- Results of Hydrofoils -- 2-D Mono Hydrofoil -- 2-D Tandem Hydrofoil-System -- 3-D Tandem Hydrofoil-System -- CONCLUSION -- Acknowledgment -- REFERENCES -- APPENDICES -- Expression of Hydrofoil Using Potential -- Expression of qS and ϕS -- Expression of qV and ϕV -- Expression of qF and ϕF -- Expression of Linearized Free Surface Condition and Wave Profile -- SESSION 2 WAVY/FREE-SURFACE FLOW: PANEL METHODS 2 -- Numerical Analysis of Nonlinear Ship Wavemaking Problem by the Coupled Element Method -- ABSTRACT -- NOMENCLATURE -- 1 INTRODUCTION -- 2 THE FREE SURFACE CONDITION -- 2.1 Exact Mathematical Expression for the Wavemaking Potential -- 2.2 Simplification of the Free Surface Condition -- 3 THE COUPLED ELEMENT METHOD FOR THE SHIP WAVEMAKING PROBLEM -- 3.1 The Green Function Method for φ2 in the Outer Region -- 3.2 Auxiliary Equations for Computing the Line Integral on the Free Surface -- 3.3 The Finite Element Method for φ1 in D1 -- 4 NUMERICAL RESULTS -- 4.1 The Submerged Cylinder -- 4.2 The Submerged Sphere.

4.3 Wigly Ship Model -- 4.4 Series 60 Block 60 Ship Model -- 5 DISCUSSION AND CONCLUDING REMARKS -- ACKNOWLEDGEMENTS -- References -- Seakeeping and Wave Induced Loads on Ships with Flare by a Rankine Panel Method -- ABSTRACT -- 1. INTRODUCTION -- 2. PROBLEM FORMULATION -- Frequency Domain Formulation -- 3. THE HYDRODYNAMIC FORCES AND EQUATIONS OF MOTION -- 4. THE RANKINE PANEL METHOD -- 1. Bi-Quadratic Spline Scheme -- 2. Radiation Condition -- 3. Filtering Algorithm -- 4. Iterative Solution of Linear System -- 5. THE FREE SURFACE WAKE -- 6. STRUCTURAL LOADS -- 7. NUMERICAL RESULTS -- 7.1 Kelvin Wave Patterns Past Transom Stern Ships -- 7.2 Hydrodynamic Forces and Motions of the SL7 and S-175 Hulls -- 7.3 Heave and Pitch Motions of an IACC Yacht Hull -- 8. WAVE INDUCED STRUCTRURAL LOADS ON THE SL-7 AND S-175 HULLS -- 9. SUMMARY -- 10. ACKNOWLEDGEMENTS -- References -- Calculation of Transom Stern Flows -- ABSTRACT -- NOMENCLATURE -- INTRODUCTION -- MATHEMATICAL FORMULATION -- Boundary Value Problem -- Integral Equation -- Transom Stern -- Free-Wave Spectrum and Wave-Pattern Resistance -- NUMERICAL IMPLEMENTATION -- PREDICTIONS -- Athena Hull -- Model 5415 -- CONCLUSION -- ACKNOWLEDGMENT -- REFERENCES -- SESSION 3 WAVY/FREE-SURFACE FLOW: PANEL METHODS 3 -- Nonlinear Ship Wave Calculations Using the RAPID Method -- ABSTRACT -- 1 INTRODUCTION -- 2 RAPID -- 2.1 The mathematical model -- 2.2 Iterative solution -- 2.3 Implementation -- 2.4 Convergence and calculation time -- 2.5 Nonlinearities and wave breaking -- 3 THE FLOW OFF A TRANSOM STERN -- 3.1 Physical Phenomena -- 3.2 Mathematical Modeling -- 3.3 Implementation -- 3.4 Results -- 4. VALIDATION STUDIES -- 4.1 Wigley hull at Fn=0.316 -- 4.2 Series 60 Cb=0.60 at Fn=0.316 -- 4.3 Container ship -- 4.4 Frigate -- 5. CONCLUSIONS -- ACKNOWLEDGEMENT -- REFERENCES.

Panel-Convergence of Steady Free-Surface Flow Calculations -- ABSTRACT -- INTRODUCTION -- FRAMEWORK OF STUDY -- HULL FORM -- PANEL ARRANGEMENT -- SURFACE AREA -- VELOCITY POTENTIAL -- Potentials ψ0 and ψ∞ -- Potentials ψ, ψW and ψSN -- WAVE PROFILE -- LIFT, DRAG, AND MOMENT -- CONCLUSION -- ACKNOWLEDGMENTS -- REFERENCES -- A Higher-Order Panel Method Based on B-Splines -- ABSTRACT -- NOMENCLATURE -- 1 INTRODUCTION -- 2 B-SPLINE BASICS -- 3 B-SPLINES AND SURFACE POTENTIAL DISTRIBUTIONS -- 4 DISCRETIZED GRENN'S FORMULA -- 5 CALCULATIONS OF THE INFLUENCE FUNCTIONS -- 5.1 Introduction -- 5.2 Recursion Formulae -- 5.3 The Source Integral -- 5.4 The Dipole Integral -- 5.5 Multipole expansions -- 5.6 Field point on the panel -- 6 SYSTEM OF EQUATIONS -- 6.1 The Collocation Method -- 6.2 The Galerkin Method -- 7 COMPUTATIONAL RESULTS -- 8 CONCLUSION -- ACKNOWLEDGEMENTS -- References -- SESSION 4 WAVY/FREE-SURFACE FLOW: FIELD-EQUATION METHODS -- A Fast Multigrid Method for Solving the Nonlinear Ship Wave Problem with a Free Surface -- ABSTRACT -- 1 INTRODUCTION -- 2 MATHEMATICAL MODEL -- 2.1 Bulk Flow -- 2.2 BOUNDARY CONDITIONS -- 2.2.1 Free Surface -- 2.2.2 Hull and Farfield -- 2.3 TURBULENCE MODEL -- 3 NUMERICAL SOLUTION -- 3.1 Bulk Flow Solution -- 3.1.1 Artificial Dissipation -- 3.1.2 Viscous Discretization -- 3.1.3 Time Integration -- 3.1.4 Residual Averaging -- 3.1.5 Multigrid Scheme -- 3.1.6 Grid Refinement -- 3.2 Free Surface Solution -- 4 RESULTS -- 4.1 Computational Conditions -- 4.2 Wigley Hull -- 4.3 Series 60, Cb=0.6 Hull -- 5 CONCLUSIONS -- ACKNOWLEDGMENT -- References -- A Finite-Volume Method with Unstructured Grid for Free Surface Flow Simulations -- ABSTRACT -- NOMENCLATURE -- INTRODUCTION -- NUMERICAL PROCEDURES -- Governing Equations -- Spatial Discretization -- Finite-Volume Method -- Artificial Dissipation -- Boundary Conditions.

Body Boundary Condition -- Free Surface Condition -- Far Field Conditions -- Time Stepping -- Grid Generation and Grid Movement -- Convergence Acceleration Techniques -- Local Time Step -- Residual Smoothing -- Unstructured Multigrid -- RESULTS -- CONCLUSIONS -- ACKNOWLEDGEMENT -- REFERENCES -- A Semi-Implicit Semi-Lagrangian Finite Element Model for Nonlinear Free Surface Flow -- ABSTRACT -- NOMENCLATURE -- 1. INTRODUCTION -- 2. GOVERNING EQUATIONS -- 3. GALERKIN FORMULATION IN SPACE -- 4. DISCRETIZATION OF THE FREE SURFACE IN TIME -- 5. MESH GENERATION -- 6. NUMERICAL RESULTS -- 6.1 Heave of surface-piercing cylinder in a tank -- 6.2 Heave of submerged cylinder in a tank -- 6.3 Impulsive motion in a tank -- 6.4 Slender body calculations -- CONCLUSIONS -- ACKNOWLEDGEMENT -- REFERENCES -- SESSION 5 WAVY/FREE-SURFACE FLOW: VISCOUS FLOW AND INTERNAL WAVES -- Solid-Fluid Juncture Boundary Layer and Wake with Waves -- ABSTRACT -- NOMENCLATURE -- INTRODUCTION -- PHYSICAL PROBLEM AND PRECURSORY WORK -- Order-of-Magnitude Estimates -- Regions III Calculations and Experiments -- RELEVANT WORK -- COMPUTATIONAL METHOD -- COMPUTATIONAL CONDITIONS, GRIDS, AND UNCERTAINTY -- LAMINAR-FLOW SOLUTIONS -- Small Steepness -- Medium and Large Steepness -- TURBULENT-FLOW SOLUTIONS -- SUMMARY AND CONCLUSIONS -- ACKNOWLEDGMENTS -- REFERENCES -- Direct Numerical and Large-Eddy Simulations of Turbulent Free-Surface Flows -- ABSTRACT -- NOMENCLATURE -- 1 INTRODUCTION -- 2 MATHEMATICAL FORMULATION -- 2.1 Field Equations -- 2.2 Free-Surface Boundary Conditions -- 2.3 SGS Models -- 2.4 Test Filter Approach -- 3 NUMERICAL FORMULATION OF DNS -- 4 NUMERICAL FORMULATION OF LES -- 5 DNS VALIDATION STUDIES -- 5.1 Test Case I: Exact Gravity-Wave -- 5.2 Test Case II: Viscous AiryWave -- 5.3 Test Case III: Triad Resonance -- 5.4 Test Case IV: Wave-Current Interactions.

5.5 Test Case V: Gerstner's Wave -- 6 LES PERFORMANCE STUDIES -- 6.1 A Priori Tests -- 6.2 A Posteriori Tests -- 7 NUMERICAL RESULTS -- 7.1 The Turbulent Structure Near the Free Surface -- 7.2 Free-Surface Roughness -- 7.3 Turbulent Scattering of Waves -- 7.4 Turbulent Dissipation of Waves -- 8 CONCLUSIONS -- ACKNOWLEDGEMENTS -- References -- 9 TABLES -- Computation of Free-Surface Flows Around 3-D Hydrofoil and Wigley Ship by N-S Solver -- ABSTRACT -- NOMENCLATURE -- INTRODUCTION -- NUMERICAL SIMULATION OF SHIP WAVES -- Basic Equation -- SIAF Scheme -- Boundary Conditions -- Turbulence Model -- COMPUTED RESULTS -- Wigley Case -- Foil Case -- CONCLUSION -- ACKNOWLEDGEMENT -- REFERENCES -- Numerical Prediction of Ship Generated Internal Waves in a Stratified Ocean at Supercritical Froude Numbers -- ABSTRACT -- NOMENCLATURE -- INTRODUCTION -- CROSS FLOW THEORY -- NUMERICAL IMPLEMENTATION -- RESULTS & DISCUSSION -- SUMMARY & CONCLUSIONS -- ACKNOWLEDGEMENT -- REFERENCES -- SESSION 6 WAVY/FREE-SURFACE FLOW: VISCOUS-INVISCID INTERACTION -- Displacement Thickness of a Thick 3-D Boundary Layer -- ABSTRACT -- INTRODUCTION -- NATURE OF THE PROBLEM -- FORMULATION OF STREAM-SURFACE EQUATIONS -- CONTINUATION OF OUTER IRROTATIONAL FLOW INTO BOUNDARY LAYER -- Source Distribution on Body -- Velocity Field of a Source Distribution -- SOLUTION OF STREAM-SURFACE EQUATION -- ACKNOWLEDGMENT -- REFERENCES -- Domain Decomposition in Free Surface Viscous Flows -- ABSTRACT -- NOMENCLATURE -- INTRODUCTION -- MATHEMATICAL MODEL -- The Outer Region -- The Inner Region -- Navier-Stokes Solver -- MATCHING ALGORITHM -- NUMERICAL RESULTS -- A Double Model Flow: the HSVA-tanker -- A Free Surface Flow: the S60 Hull (Cb=0.6) -- CONCLUDING REMARKS -- ACKNOWLEDGEMENTS -- REFERENCES -- Interactive Zonal Approach for Ship Flows Including Viscous and Nonlinear Wave Effects -- ABSTRACT.

INTRODUCTION.