Wave overtopping over a sea dike

Journal of Computational Physics

Volumn 198, Issue 2, 2004, Pages 686-726

  Li, Tingqiu ^a   Troch, Peter ^a   De Rouck, Julien ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

A VOF based finite volume solver; Nonuniform Cartesian cut cell meshes; Overtopping of breaking waves; The NS equations with a free surface

Indexed keywords

BOUNDARY CONDITIONS; CELLS; CYTOLOGY; HYDRAULIC STRUCTURES; REYNOLDS NUMBER; SURFACE TENSION; SURFACE WAVES; TURBULENCE MODELS; WATER WAVES;

A VOF-BASED FINITE VOLUME SOLV; BREAKING WAVES; CARTESIAN CUT CELL; FINITE-VOLUME; FREE SURFACES; NAVIER-STOKES EQUATION; NONUNIFORM CARTESIAN CUT-CELL MESH; OVERTOPPING OF BREAKING WAVE; SUB-GRID-SCALE MODELS; THE NAVI-STOKE EQUATION WITH A FREE-SURFACE;

NAVIER STOKES EQUATIONS;

EID: 3442887036     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.01.022     Document Type: Article

References (62)

1. Almgren A.S. Joun B.B. Colella P. Howell L.H. Welcome M. A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations J. Comp. Phys 142 1998 1-46
2. Aulisa E. Manservisi S. Scardovelli R. Zaleski S. A geometrical area-preserving volume-of-fluid advection method J. Comp. Phys. 192 2003 355-364
3. Boris J.P. Book D.L. Flux-corrected transport I. SHASTA, a fluid transport algorithm that works J. Comp. Phys. 11 1973 38-69
4. Brackbill J.U. Kothe D.B. Zemach C. A continuum method for modelling surface tension J. Comp. Phys. 100 2 1992 335-354
5. Chen R.K.C. Street R.L. A computer study of finite amplitude water waves J. Comp. Phys. 6 1970 68-94
6. Christensen E.D. Deigaard R. Large eddy simulation of breaking waves Coast. Eng. 42 2001 53-86
7. Chorin A.J. A numerical solution for solving incompressible viscous flow problems J. Comp. Phys. 2 1967 12-26
8. Colella P. Woodwrad P.R. The piecewise parabolic method (PPM) for gas dynamic simulations J. Comp. Phys. 54 1984 174
9. Ferziger J.H. Peric M. Computational Methods for Fluid Dynamics second ed. 1999 Springer Berlin
10. Fureby C. Larger-eddy simulation of turbulent anisochoric flows AIAA J. 33 1995 1263-1272
11. Garnier E. Mossi M. Sagaut P. Comte P. Deville M. On the use of shock-capturing schemes for large-eddy simulation J. Comp. Phys. 153 1999 273-311
12. Gentaz L. Maury C. Alessandrini B. Delhommear G. Numerical simulation of a two-dimensional wave tank in viscous fluid Int. J. Offshore Polar Eng. 10 2000 1-9
13. Germano M. Piomelli U. Moin P. Cabot W. A dynamic subgrid-scale eddy viscosity model, Summer Program, Center for Turbulence Research, Stanford University, Stanford, CA, 1990
14. Gueyffier D. Li J. Nadim A. Scardovelli R. Zaleski S. Volume-of-fluid interface tracking with smoothed surfaces stress methods for three-dimensional flows J. Comp. Phys. 152 1999 423-456
15. Harvie D.J.E. Fletcher D.F. A new volume of fluid algorithm: the defined donating region scheme Int. J. Numer. Meth. Fluids 35 2001 151-172
16. Hirsch C.H. Numerical Computation of Internal and External Flows vol. 2 1989 Wiley New York
17. Hirt C.W. Nichols B.D. Volume of fluid method for the dynamics of free boundaries J. Comp. Phys. 39 1981 201-225
18. Hodges B.R. Street R.L. On simulation of turbulent nonlinear free-surface flows J. Comp. Phys. 151 1999 425-457
19. Israeli M. Orszag S.A. Approximation of radiation boundary conditions J. Comp. Phys. 41 1981 115-131
20. Jameson A. Schmidt W. Turkel E. Numerical simulation of the Euler equations by finite volume methods using Runge-Kutta time stepping schemes, AIAA 5th CFD Conf., AIAA Paper 81-1259, 1981
21. Kelecy F.J. Pletcher R.H. The development of a free surface capturing approach for multidimensional free surface flows in closed containers J. Comp. Phys. 138 1997 939-980
22. Kershaw D.S. The incomplete Cholesky-conjugate gradient method for the iterative solution of system of linear equation J. Comp. Phys. 26 1 1978 43-65
23. Kobayashi N. Otta A.K. Roy I. Wave reflection and runnup on rough slopes J. Waterway Port Coast. Ocean Eng., ASCE 113 3 1987 282-298
24. Lafaurie B. Nardone C. Scardovelli R. Zaleski S. Zanetti G. Modelling merging and fragmentation in multiphase flows with SURFER J. Comp. Phys. 113 1994 134-147
25. Li T. Matusiak J. Lehtimȧki R. Numerical simulation of viscous flows with free surface around realistic hull forms with transom Int. J. Numer. Meth. Fluids 37 2001 601-624
26. Li T. Computation of turbulent free-surface flows around modern ships Int. J. Numer. Meth. Fluids 43 2003 407-430
27. Li T. Effects of grid refinements and turbulence models on ship-induced waves Int. Shipbuild. Proger. 50 3 2003 255-272
28. Li T. Troch P. De Rouck J. A solver for numerical simulation of breaking waves using a cut-cell VOF cell-staggered finite-volume approach, Report, Department of Civil Engineering, Ghent University, Belgium, 2003
29. Li T. Troch P. De Rouck J. A dynamic LES of breaking waves during overtopping, in preparation
30. Li T. Troch P. De Rouck J. Large eddy simulation of wave overtopping on nonuniform cartesian cut-cell grids, in: Proceedings of the 14th International Offshore and Polar Engineering Conference, Toulon, France, May 23-28, 2004
31. Lin P. Liu P.L.F. Internal wave-maker for Navier-Stokes equations models J. Waterway Port Coast Ocean Eng. 4 1999 207-215
32. Lin P. Liu P.L.F. A numerical study of breaking waves in the surf zone J. Fluid Mech. 359 1998 239-264
33. Meric B. Steellant J. Vierendeels J. Riemslagh K. Dick E. Computational treatment of source terms in two-equation turbulence model AIAA J. 38 11 2000 2085-2093
34. Miyate H. Zhu M. Watanabe O. Numerical study on a viscous flow with free-surface waves about a ship in steady course by a finite-volume method J. Ship Res. 36 1992 332-345
35. Monaghan J.J. Simulating free surface flows with SPH J. Comp. Phys 110 1994 399-406
36. Orlanski I. A simple boundary condition for unbounded hyperbolic flows J. Comp. Phys. 21 1976 251-269
37. Osher S. Sethian J.A. Fronts Propagating with curvature-development speed: algorithm based on Hamilton-Jacobi formulations J. Comp. Phys. 79 1998 12-49
38. Park J.C. Kim M.H. Miyata H. Full non-linear free-surface simulations by a 3D viscous numerical wave tank Int. J. Numer. Meth. Fluids 29: 1999 685-703
39. Petit H.A.H. Tonjes P. van Gent M.R.A. van den Bosch P. Numerical simulation and validation of plunging breaking using a 2D Navier-Stokes model, in: Proc. 24th Int. Conf. Coast. Energy, ASCE, Reston, VA, 1994, pp. 511-534
40. Pucket E.G. Almgren A.S. Bell J.B. Marcus D.L. Ride W.J. A high-order projection method for tracking fluid interface in variable density incompressible flows J. Comp. Phys. 130 1997 269-282
41. Rhie C.M. Chow W.L. Numerical study of the turbulent flow past an airfoil with trailing edges separation AIAA J. 21 11 1983 1525-1532
42. Rider W.J. Kothe D.B. Reconstructing volume tracking J. Comp. Phys. 141 1998 112-152
43. Roe P.L. Approximate Riemann solvers, parameter vectors and difference schemes J. Comp. Phys. 43 1981 337-372
44. Rogers S.E. Comparison of implicit schemes for the incompressible Navier-Stokes equations AIAA J. 33 1995 2066-2072
45. Schmidt R.C. Kerstein A.R. Wunsch S. Nilsen V. Near-wall LES closure based on one-dimensional turbulence modelling J. Comp. Phys. 186 2003 317-355
46. Rudman M. Volume-tracking methods for interfacial flow calculations Int. J. Numer. Meth. Fluids 24 1997 671-691
47. Scardovelli R. Zaleski S. Interface reconstruction with least-square fit and split Eulerian-Lagrangian advection Int. J. Numer. Meth. Fluids 41 2003 251-274
48. Smagorinsky J. General circulation experiments with the primitive equations, part I: the basic experiment Mon. Weather Rev. 91 1962 99-152
49. Sussman M. Smereka P. Osher S. A level set approach for computing solutions to incompressible two-phase flow J. Comp. Phys. 114 1994 146-159
50. Sussman M. Almgren A.S. Bell J.B. Colella P. Howell L.H. Welcome M.L. An adaptively level set approach for incompressible two-phase flows J. Comp. Phys. 148 1999 81-124
51. Sussman M. Puckett E.G. A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows J. Comp. Phys. 162 2000 301-337
52. Troch P. De Rouck J. An active wave generated-absorbing boundary condition for VOF type numerical model Coast. Eng. 38 1999 223-247
53. Ubbink O. Issa R.I. A method for capturing sharp fluid interfaces on arbitrary meshes J. Comp. Phys. 153 1999 26-50
54. Udaykumar H.S. Mittal R. Shyy W. Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids J. Comp. Phys. 153 1999 535-574
55. Unverdi S.O. Tryggvason G. A front-tracking method for viscous, incompressible multifluid flow J. Comp. Phys. 100 1992 25-37
56. Van B.L. Towards the ultimate conservative difference scheme IV. A new approach to numerical convection J. Comp. Phys. 23 1977 276-299
57. Vincent S. Caltagirone J.P. A one-cell local multigrid method for solving unsteady incompressible multiphase flows J. Comp. Phys. 163 2000 172-215
58. Wang M. Moin P. Dynamic wall modeling for large-eddy simulation of complex turbulent flows Phys. Fluids 7 14 2002 2043-2051
59. Watanabe Y. Saeki H. Three-dimensional large eddy simulation of breaking waves Coast. Eng. J. 41 1999 281-301
60. Xiao F. A computational model for suspended large rigid bodies in 3D unsteady viscous flows J. Comp. Phys. 155 1999 348-379
61. Youngs D.L. Time-dependent multi-material flow with large fluid distortion, in: K.W. Morton, M.J. Baines, (Eds.), Numerical Methods for Fluid Dynamics, 1982
62. Zalesaki S.T. Fully multi-dimensional flux corrected transport algorithm for fluid flow J. Comp. Phys. 31 1979 335-362