SPH simulations of time-dependent Poiseuille flow at low Reynolds numbers

Journal of Computational Physics

Volumn 191, Issue 2, 2003, Pages 622-638

  Sigalotti, Leonardo Di G ^a   Klapp, Jaime ^b   Sira, Eloy ^a   Meleán, Yasmin ^a   Hasmy, Anwar ^a  

^a INSTITUTO VENEZOLANO DE INVESTIGACIONES CIENTÍFICAS   (Venezuela)

^b INSTITUTO NACIONAL DE INVESTIGACIONES NUCLEARES   (Mexico)

Author keywords

Compressible and incompressible viscous fluids; Conservation laws; Navier Stokes equations; Numerical methods; Stability and convergence of numerical methods

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; HYDRODYNAMICS; INCOMPRESSIBLE FLOW; REYNOLDS NUMBER; VISCOUS FLOW;

COMPRESSIBLE VISCOUS FLUIDS; CONSERVATION LAW; EQUATION OF MOTION; HYDRODYNAMIC SIMULATION; INCOMPRESSIBLE VISCOUS FLUIDS; LOW REYNOLDS NUMBER; NAVIER-STOKES EQUATION; SMOOTHED PARTICLE HYDRODYNAMICS; STABILITY AND CONVERGENCE OF NUMERICAL METHODS; TIME-DEPENDENT POISEUILLE FLOW;

NAVIER STOKES EQUATIONS;

EID: 0242330853     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9991(03)00343-7     Document Type: Article

References (21)

1. H.L. Dryden, F.D. Murnaghan, H. Bateman, Hydrodynamics, Dover, New York, 1956.
2. L.D. Landau, E.M. Lifshitz, Fluid Mechanics, Pergamon Press, Oxford, 1987.
3. L,B. Lucy, A numerical approach to the testing of the fission hypothesis, Astron. J. 83 (1977) 1013.
4. R.A. Gingold, J.J. Monaghan, Smoothed particle hydrodynamics: Theory and application to non-spherical stars, Mon. Not. R. Astron. Soc. 181 (1977) 375.
5. W.G. Hoover, T.G. Pierce, C.G. Hoover, J.O. Shugart, C.M. Stein, A.L. Edwards, Molecular dynamics, smoothed-particle applied mechanics, and irreversibility, Comput. Math. Appl. 28 (1994) 155.
6. J.J. Monaghan, Simulating free surface flows with SPH, J. Comput. Phys. 110 (1994) 399.
7. H. Takeda, S.M. Miyama, M. Sekiya, Numerical simulation of viscous flow with smoothed particle hydrodynamics, Prog. Theor. Phys. 92 (5) (1994) 939.
8. O. Kum, W.G. Hoover, H.A. Posch, Viscous conducting flows with smooth-particle applied mechanics, Phys. Rev. E 52 (5) (1995) 4899.
9. J.P. Morris, P.J. Fox, Y. Zhu, Modeling low Reynolds number incompressible flows using SPH, J. Comput. Phys. 136 (1997) 214.
10. S.J. Cummins, M. Rudman, An SPH projection method, J. Comput. Phys. 152 (1999) 584.
11. S. Nugent, H.A. Posch, Liquid drops and surface tension with smoothed particle applied mechanics, Phys. Rev. E 62 (4) (2000) 4968.
12. J.P. Morris, Stability properties of SPH, Publ. Astron. Soc. Aust. 13 (1996) 97.
13. J.J. Monaghan, J.C. Lattanzio, A refined particle method for astrophysical problems, Astron. Astrophys. 149 (1985) 135.
14. O. Flebbe, S. Münzel, H. Herold, H. Riffert, H. Ruder, Smoothed particle hydrodynamics: Physical viscosity and the simulation of accretion disks, Astrophys. J. 431 (1994) 754.
15. S.J. Watkins, A.S. Bhattal, N. Francis, J.A. Turner, A.P. Whitworth, Astron. Astrophys. Suppl. Ser. 119 (1996) 177.
16. J. Bonet, T.-S.L. Lok, Variational and momentum preservation aspects of Smoothed Particle Hydrodynamic formulations, Comput. Methods Appl. Mech. Engrg. 180 (1999) 97.
17. L.D. Libersky, A.G. Petschek, T.C. Carney, J.R. Hipp, F.A. Allahdadi, High strain Lagrangian hydrodynamics, J. Comput. Phys. 109 (1993) 67.
18. A.G. Petschek, L.D. Libersky, Cylindrical smoothed particle hydrodynamics, J. Comput. Phys. 109 (1993) 76.
19. J.P. Gray, J.J. Monaghan, R.P. Swift, SPH elastic dynamics, Comput. Methods Appl. Mech. Engrg. 190 (2001) 6641.
20. Y. Meleán, A. Hasmy, D. Broseta, E. Sira, L. Di G. Sigalotti, Liquid-to-vapor phase transition using SPH, Phys. Rev. E (in preparation).
21. E. Sira, Y. Meleán, L. Di G. Sigalotti, A. Hasmy, A unified method for the treatment of boundary conditions in SPH, J. Comput. Phys. (in preparation).