Numerical Modeling of Short-Time Scale Nonlinear Water Waves Generated by Large Vertical Motions of Non-Wallsided Bodies

Non-Wallsided 물체의 연직운동에 의해 발생된 파의 비선형 해석을 위한 수치해석 모형의 연구

  • Published : 1993.06.01

Abstract

선수충격파의 문제를 푸는데 있어서 Boundary Integral Method(BIM)의 여러가지 수치 해석방법이 검토되었으며, 특히 여러가지 Time stepping scheme, Green function, far-field 조건등에 따른 수치해석안정성과 정확성의 상관관계가 연구되었다. von Neumann 안정성해석과 matrix 안정성해석 등을 이용한 선형 안정성해석을 기초로하여, 수치해석방법의 안정성 여부를 체계적으로 조사할 수 있는 parameter(Free Surface Stability number)를 설정하고, 이 parameter의 변화에 따른 비선형 운동해석을 연구하였다. 그 결과 비선형성이 심하지 않은 기진파의 경우에서는 비선형 운동해석의 수치해석 안정성의 선형 수치해석 안정성과 큰 차이가 없음을 알 수 있게 된다.

References

  1. STAR Symposium Evaluation of Impact Loads Associated with Flare Slamming Troesch,A.W.;Kang,C.G.
  2. Seminar on Ship Hydrodynamics Nonlinear Interaction Between Axisymmetric Submerged Bodies and the Free Surface in Water of Infinite Depth Kang,C.G.;Troesch,A.W.
  3. Proc. R. Soc. Rond. A350 The Deformation of Steep Surface Waves on Water Longuet-Higgins,M.S.;Cokelet,E.D.
  4. 2nd. Num. Hydr. Numerical Solutions of Transient Nonlinear Free-Surface Motion Outside or Inside Moving Bodies Faltinsen,O.M.
  5. Norw. Inst. Tech & NHL Breaking Waves on Finite Water Depths, A Numerical Study Vinje,T.;Brevig
  6. Ann. R. Fluid Mech. v.14 Numerical Methods in Free-Surface Flows Yeung,R.W.
  7. JFM v.178 Numerical Simulations of Nonlinear Axi-Symmetric Flows with a Free Surface Dommermuth,D.G.;Yue,D.K.
  8. University of Michigan Program in Ship Hydrodynamics, Report No. 88-02 An alternative Complex Boundary Element for Nonlinear Free Surface Flows Hong,S.W.;Schultz,W.W.;Graebel,W.P.
  9. Comp. Eng. Anal. with Boundary Elements An efficient Boundary Element Method for Nonlinear Water Waves Grilli,S.T.;Skourup,J.;Svendsen,I.A.
  10. JFM v.123 Generalized Vortex Method for Free Surface Flow Problems Baker,G.R.;Meiron,D.I.;Orzag,S.A.
  11. J. of Applied Math. v.31 A Stable and Accurate Numerical Method to Calculate the Motion of a Sharp Interface Between Fluids Roterts,A.J.
  12. School of Math. in U. of Bristol Steep Unsteady Water Waves:An Efficient Computational Scheme Dold,J.W.;Peregrine,D.H.
  13. Appl. Math. Modelling v.14 Stability Analysis of Eulerian-Lagrangian Methods for the One-Dimensional Shallow-Water Equations Casulli,V.;Cheng,R.T.
  14. Proc. 16th. Symp. on Naval Hydrodynamics Study of Nonlinear Axisymmetric Body-Wave Interactions Dommermuth,D.G.;Yue,D.K.
  15. JFM v.189 Deep Water Plunging Breakers : A Comparison Between Potential Theory and Experiments Dommermuth,D.G.;Yue,D.K.;Lin,W.M.;Rapp,R.J.
  16. Ph. D. Thesis, University of Michigan Bow Flare Slamming and Nonlinear Free Surface-Body Interaction in the Time Domain Kang,C.G.
  17. Difference Methods for Initial Value Problems Richtmyer,R.D.;Morton,K.W.
  18. Computational Fluid Mechanics and Heat Transfer Anderson;Tannaehill;Pletcher
  19. Ph. D. Thesis, University of Michigan The Numerical Stability of Nonlinear Floating Body Calculations Park,J.H.
  20. JFM v.36 On Some Problems of Similarity Flow of Fluid with a Free Surface Dobrovol'skaya,Z.N.
  21. JFM v.56 Solution of the Wedge Entry Problem by Numerical Conformal Mapping Hughes,O.F.
  22. 4th Int. Conf. on Num. Ship Hydro Numerical Simulation of Nonlinear Free Surface Flows Generated by Wedge Entry and Wavemaker Motions Greenhow,M.;Lin,W.M.
  23. Applied Ocean Research v.9 no.4 Wedge Entry into Initially Calm Water Greenhow,M.
  24. Journal of Engineering Mathematics v.25 On the Oblique Water-Entry Problem of a Rigid Sphere Miloh,T.
  25. Seventh International Workshop on Water and Floating Bodies Slamming on the Wetdeck of Multihulls Faltinsen,O.;Zhao,R.
  26. SNAME Section Meeting An Extended Slender Body Model for Planing Hull Hydrodynamics Vorus,W.S.