Finite element solution of free-surface ship-wave problems

International Journal for Numerical Methods in Engineering

Volumn 45, Issue 5, 1999, Pages 503-528

  Idelsohn, Sergio R ^a,b   Oñate, Eugenio ^a   Sacco, Carlos ^a  

^a INTERNATIONAL CENTER FOR NUMERICAL METHODS IN ENGINEERING CIMNE   (Spain)

^b UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

Author keywords

CFD; Finite elements; Free surface flows; Unstructured meshes; Wave drag

Indexed keywords

ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; DRAG; NUMERICAL METHODS; SHIPS;

FREE SURFACE FLOWS; NAVIER-STOKES FLOW; UNSTRUCTURED MESHES;

FINITE ELEMENT METHOD;

FINITE ELEMENT ANALYSIS; FREE SURFACE FLOW; HYDRODYNAMICS; VESSEL; WAVE PATTERN;

FREE SURFACE FLOW; HYDRODYNAMICS; SHIP TECHNOLOGY; WAVE;

EID: 0345643340     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19990620)45:5<503::AID-NME570>3.0.CO;2-E     Document Type: Article

References (54)

1. Raven H. A solution method for the non-linear ship resistance problem. Doctoral Thesis, Maritime Research Institute, The Netherlands, 1996.
2. Wehausen JV. The wave resistance of ships. Advances in Applied Mechanics, 1970.
3. Bai KJ, McCarthy JH, editors. Proceedings of the Workshop on Ship Wave-Resistance Computations. Bethesda, MD, USA, 1979.
4. Noblesse F, McCarthy JH, editors. Proceedings of the Second DTNSRDC Workshop on Ship Wave-Resistance Computations. Bethesda, MD, USA, 1983.
5. Dawson, CW. A practical computer method for solving ship-wave problems. Proceedings of the 2nd International Conference on Numerical Ship Hydrodynamics. USA, 1977.
6. Xia F. Numerical calculation of ship flows with special emphasis on the free-surface potential flow. Ph.D. Thesis, Chalmers University of Technology, Sweden, 1986.
7. Jenson G, Soding H. Ship wave resistance computation. Finite Approximations in Fluid Mechanics II 1989;25.
8. Kim YH, Lucas T. Nonlinear ship waves. Proceedings of the 18th Symposium on Naval Hydrodynamics. MI, USA, 1990.
9. D'Elia J, Storti M, Idelsohn S. A panel code for 3D wave drag calculations. Report Grupo de Tecnología Mecánica del INTEC, Güemes 3450, 3000 - Santa Fe, Argentina, 1995.
10. Reed AM, Telste JG, Scragg CA, Liepmann D. Analysis of transon stern flows. Proceedings of the 17th Symposium on Naval Hydrodynamics. The Hague, The Netherlands, 1990.
11. Nakos DE, Sclavounos Pd. On steady and unsteady ship wave patterns. Journal of Fluid Mechanics 1990;215: 256-288.
12. Raven H. A practical non-linear method for calculating ship wavemaking and wave resistance. Proceedings of the 19th Symposium on Naval Hydrodynamics. Seoul, Korea, 1992.
13. Beck RF, Cao Y, Lee TH. Fully non-linear water wave computations using the designularized method. Proceedings of the 6th Symposium on Num. Ship Hydrodynamics. Iowa City, Iowa, USA, 1993.
14. Soding H. Advances in panel methods. Proceedings of the 21th Symposium on Naval Hydrodynamics. Trondheim, Norway, 1996.
15. Janson C, Larsson L. A method for the optimization of ship hulls from a resistance point of view. Proceedings of the 21st Symposium on Naval Hydrodynamics. Trondheim, Norway, 1996.
16. Mei CC, Chen HS, A hybrid element method for steady linearized free-surface flows. International Journal for Numerical Methods in Engineering 1976;10:1153-1175.
17. Bai KJ. A localized finite element method for steady, three-dimensional free-surface flow problems. Internal Report, David Taylor Naval Ship Research and Development Center, Bethesda, MD, 1979.
18. Chorin AJ. Numerical solution of the Navier-Stokes equations. Mathematics of Computation 1968;22:745-762.
19. Kim J, Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations. Journal of Computational Physics 1985;59:308-323.
20. Hino T. Computation of free surface flow around and advancing ship by the Navier-Stokes equations. Proceedings of the 5th International Conference on Num. Ship Hydrodynamics. Hiroshima, Japan, 1989: 103-117.
21. Luo H, Baum JD, Löhner R. A finite volume scheme for hydrodynamic free boundary problems on unstructured grids. AIAA-95-0668, 1995.
22. Alessandrini B, Delhommeau G. A multigrid velocity-pressure-free surface elevation fully coupled solver for calculation of turbulent incompressible flow around a hull. Proceedings of the 21st Symposium on Naval Hydrodynamics. Trondheim, Norway, 1996:40-55.
23. Miyata H. Time-marching CFD simulation for moving boundary problems. Proceedings of the 21st Symposium on Naval Hydrodynamics. Trondheim, Norway, 1996:1-21.
24. Vazquez M, Codina R, Zienkiewicz OC. A fractional step method for the solution of Navier-Stokes equation. CIMNE Publication No. 103, 1996.
25. Chorin AJ. A numerical solution for solving incompressible viscous flow problems. Journal of Computational Physics 1967;2:12-26.
26. Rizzi A, Erikson L. Computation of inviscid incompressible flow with rotation. Journal of Fluid Mechanics 1985; 153:275-312.
27. Farmer JR, Martinelli L, Jameson A. A fast multigrid method for solving incompressible hydrodynamic problems with free surfaces. AIAA Journal 1993;32(6):1175-1182.
28. Peraire J, Morgan K, Peiro J. The simulation of 3D incompressible flows using unstructured grids, In: Caughey DA, Hafez MM, editors. Frontiers of Computational fluid Dynamics; Wiley: New York, 1994, Chapter 16.
29. Briley WR, Neerarambam SS, Whitfield DL. Multigrid algorithm for three-dimensional incompressible high-Reynolds number turbulent flows. AIAA Journal 1995;33(1):2073-2079.
30. Sheng C, Taylor LK, Whitfield DL. Implicit lower-upper/approximate-factorization schemes for incompressible flows. Journal of Computational Physics 1996;128(1):32-42.
31. Storti M, Nigro N, Idelsohn SR. Steady state incompressible flows using explicit schemes with an optimal local preconditioning. Computer Methods in Applied Mechanics and Engineering 1995;124:231-252.
32. Idelsohn SR, Storti M, Nigro N. Stability analysis of mixed finite element formulation with special mention to stabilized equal-order interpolations. International Journal for Numerical Methods in Fluids 1995;20:1003-1022.
33. Baba E, Takekuma K. A study on free-surface flow around bow of slowly moving full forms. Journal of the Society of Naval Architects Japan 1975;137.
34. Newman JN. Linearized wave resistance theory. International Seminar on Wave Resistance. Tokyo/Osaka, Journal of the Society of Naval Architects Japan, 1976.
35. Eggers K. Non-Kelvin dispersive waves around non-slender ships. Schiffstechnik, Bd. 28, 1981.
36. Eggers K. On the dispersion relation and exponential amplitude variation of wave components satisfying the slow ship differential equation on the undisturbed free-surface. In: Inui T, editor. Study on Local Non-Linear Effect in Ship Waves, Tokyo, 1980.
37. Brandsma FJ, Hermans AJ. A quasi-linear free-surface condition in slow ship theory. Schiffstechnik, Bd. 32, 1985.
38. Nakos DE. Ship wave patterns and motions by a three-dimensional Rankine panel method. Ph. D. Thesis, MIT, Cambridge, MA, USA, 1990.
39. Baba E, Hara M. Numerical evaluation of a wave-resistante theory for slow ships, 2nd International Conference on Numerical Ship Hydrodynamics. Berkeley, USA, 1977.
40. Löhner R, Yang C, Oñate E, Idelsohn S. An unstructured grid-based parallel free-surface solver. Report CIMNE No. 99 Barcelona, 1996.
41. Codina R. On stabilized finite element method for linear systems of convection-diffusion reaction equations. Research Report PI 126, CIMNE, Barcelona, 1997.
42. Oñate E. On the stabilization of numerical solution for advective-diffusive transport and fluid flow problems. Research Report No. 81, CIMNE, Barcelona, 1996. Computer Methods in Applied Mechanics and Engineering 1998;151:1-2, 233-267.
43. Oñate E. On the stabilization of numerical solution for advective-diffusive transport and fluid flow problems. Research Report No. 81, CIMNE, Barcelona, 1996. Computer Methods in Applied Mechanics and Engineering 1998;151:1-2, 233-267.
44. Oñate E, Garcia J, Idelsohn S. Computation of stabilization parameter for the finite element solution of advective-diffusive problems. International Journal for Numerical Methods in Fluids 1997;25:1385-1407.
45. Oñate E, Idelsohn S. Stabilization of the numerical solutions for the free surface wave equation in fluid dynamics. Published In: Papailiou K et al., editors, ECCOMAS98; Wiley: New York, 1998.
46. Hino T, Martinelli L, Jameson A. A finite volument method with unstructured grid for free-surface flow. Proceedings of the 6th International Conference on Num. Ship Hydrodynamics. Iowa City, IA, 1993:173-194.
47. Zienkiewicz OC, Codina R. A general algorithm for compressible and incompressible flow. Part I: the split characteristic based scheme. International Journal for Numerical Methods in Fluids 1995;20:869-85.
48. Zienkiewicz OC, Morgan K, Satya Sai BVK, Codina R, Vázquez M. A general algorithm for compressible and incompressible flow. Part II: tests on the explicit form. International Journal for Numerical Methods in Fluids 1995;20(8-9):886-913.
49. Zienkiewicz OC, Taylor RL. The Finite Element Method, vol. II.; McGraw-Hill: New York, 1989.
50. Duncan JH. The breaking and non-breaking wave resistance of a two-dimensional hydrofoil. Journal of Fluid Mechanics 1983;126.
51. Cooperative Experiments on Wigley Parabolic Models in Japan. 17th ITTC Resistance Committee, Report, 2nd ed., 1983.
52. Chen HS, Mei CC. Calculations of two-dimensional ship waves by a hybrid element method based on variational principles. Proceedings of 1st International Conference on Num. Ship Hydrodynamics. Sponsored by David Taylor Naval Ship Research and Development Center: Bethesda, 1975;95-111.
53. Bai KJ. A localized finite element method for the uniform flow problem with a free-surface. Proceedings of 1st International Conference on Num. Ship Hydrodynamics, Sponsored by David Taylor Naval Ship Research and Development Center: Bethesda, MD, 1975.
54. Darekar R, Sacco C, Idelsohn S, Oñate E. Solution of Navier-Stokes equations with the free surface boundary conditions using unstructured finite element grids. Research Report No. 116, CIMNE, Barcelona, 1997.