Numerical computation of surface waves by a projection method using an adaptative-Eulerian grid;Calcul numérique des ondes de surface par une méthode de projection avec un maillage eulérien adaptatif

Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique

Volumn 328, Issue 12, 2000, Pages 875-881

  Guillou, Sylvain ^a   Barbry, Nathaly ^b   Nguyen, Kim Dan ^b  

^a Université de Caen Normandie   (France)

^b UNIVERSITÉ DE CAEN   (France)

Author keywords

Adaptive Eulerian grid; Finite differences; Projection method; Surface waves

Indexed keywords

EID: 10144246605     PISSN: 16207742     EISSN: None     Source Type: Journal    
DOI: 10.1016/s1620-7742(00)01268-x     Document Type: Article

References (13)

1. Floryan J.M., Rasmussen H., Numerical methods for viscous flows with moving boundaries, Appl. Mech. Rev. 42 (1989) 322-340.
2. Harlow F.H., Welch J.E., Numerical calculation of time-dependant viscous incompressible flow of fluid with free surface, J. Phys. Fluids 8 (1965) 2182-2189.
3. Szabo P., Hassager O., Simulation of free surfaces in 3-D with the arbitrary Lagrange-Euler method, Internat. J. Numer. Methods Engrg. 38 (1995) 717-734.
4. Thé J.L., Raithby G.D., Stubley G.D., Surface adaptative finite-volume method for solving free surface flows, Num. Heat Tranfer, Part B 26 (1994) 367-380.
5. Phillips N.A., A coordinate system having some special advantages for numerical forecasting, J. Meteorol. 14 (1957) 184-185.
6. Chorin A.J., Numerical solution of the Navier - Stokes equations, Math. Comp. 22 (1968) 745-762.
7. Lucquin B., Pironneau O., Introduction au calcul scientifique, Masson, 1996.
8. Laitone E.V., The second approximation to cnoidal and solitary waves, J. Fluid Mech. 9 (1960) 430-434.
9. Chan R.K., Street R.L., A computer study of finite-amplitude water waves, J. Comput. Phys. 6 (1970) 68-94.
10. Seabra Santos F.J., Contribution à l'étude des ondes de gravité bidimensionnelles en eau peu profondes, Thèse de docteur d'état Es-Sciences Physiques, Université scientifique et médicale de l'institut national polytechnique de Grenoble (1985).
11. Byatt-Smith J.G.B., An integral equation for unsteady surface waves and a comment on the Boussinesq equation, J. Fluid Mech. 29 (4) (1971) 625-633.
12. Su C.H., Mirie R.M., On head-on collisions between two solitary waves, J. Fluid Mech. 98 (1980) 509-525.
13. Ramaswamy B., Numerical simulation of unsteady viscous free surface flow, J. Comput. Phys. 90 (2) (1990) 396-430.