Numerical simulation of axisymmetric viscous flows by means of a particle method

Journal of Computational Physics

Volumn 152, Issue 1, 1999, Pages 1-31

  Rivoalen, E ^a   Huberson, S ^a  

^a Genie Civil   (France)

Author keywords

Diffusion; Navier Stokes equations; Particle method; Vortex ring

Indexed keywords

DIFFUSION; INTEGRAL EQUATIONS; NUMERICAL METHODS; REYNOLDS NUMBER; VISCOUS FLOW; VORTEX FLOW; VORTICITY;

A-PARTICLES; AXISYMMETRIC VORTEX; AXISYMMETRIC-VISCOUS FLOWS; NAVIER-STOKES EQUATION; NITSCHE'S METHODS; PARTICLE METHODS; VELOCITY-VORTICITY FORMULATION; VORTEX PARTICLE METHOD; VORTEX RINGS; VORTEX SHEET;

NAVIER STOKES EQUATIONS;

EID: 0002416964     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6210     Document Type: Article

References (28)

1. Ashurst W. T., Meiburg E. Three dimensional shear layer via vortex dynamics. J. Fluid Mech. 189:1988;87.
2. Beale J. T., Majda A. Vortex method. II. Higher order accuracy in two and three dimensions. Math. Comput. 39:1982;29.
3. Carslaw H. S., Jaeger J. C. Conduction of Heat in Solids. 1959.
4. J. Chaumette, Etude aérodynamique de l'écoulement dans les cavités avec injection pariétale, Thèse, Note Technique, ONERA 1976-9, Université Paris 6.
5. Choquin J. P., Huberson S. Particle Simulation of viscous flow. Comput. & Fluids. 17:1989;397.
6. Chorin A. J. Numerical study of slightly viscous flow. J. Fluid Mech. 57:1973;785.
7. Cottet G. H., Mas-Gallic S. A particle method to solve the Navier-Stokes system. Numer. Math. 57:1989;805.
8. Cottet G. H. On the convergence of vortex methods in two and three dimensions. Ann. Inst. H. Poincaré 5:1988;227.
9. Degond P., Mas-Gallic S. The weighted particle method for convection-diffusion equations. Part. 1. The case of an isotropic viscosity. Math. Comput. 53:1990;485.
10. Fraenkel L. E. On steady vortex rings of small cross section in an ideal fluid. Proc. R. Soc. London A. 316:1970;29.
11. Fronteau J., Combis P. A lie-admissible method of integration of Fokker-Plank equations with non-linear coefficients (exact and numerical solution). Hadronic J. 7:1984;911.
12. Genoux P. Etude asymptotique du mouvement et des oscillations d'un tore de vapeur Modélisation d'un jet cavitant oscillant. 1988.
13. Martins L. F., Ghoniem A. F. Simulation of the nonreacting flow in a Bluff-Body burner; effect of the diameter ratio. J. Fluids Eng. 115:1993;474.
14. Knio O. M., Ghoniem A. Numerical study of a three-dimensional vortex method. J. Comput. Phys. 86:1990;75.
15. Lamb H. Hydrodynamics. 1932.
16. Lebedev N. N. Special Functions and Their Applications. 1965.
17. Leonard A. Computing three-dimensional incompressible flows with vortex elements. Annu. Rev. Fluid Mech. 17:1985;523.
18. Martin J. E., Meiburg E. Numerical investigation of three dimensionally evolving jets subject to axisymmetric and azimuthal pertubations. J. Fluid Mech. 230:1991;271.
19. Maxworthy T. The structure and stability of vortex rings. J. Fluid Mech. 51:1972;15.
20. Nitsche M., Krasny R. A numerical study of vortex ring formation at the edge of circular tube. J. Fluid Mech. 276:1994;139.
21. Nitsche M. Axisymmetric Vortex Sheet Roll-Up. 1992.
22. Norbury J. A family of steady vortex rings. J. Fluid Mech. 57:1973;417.
23. Raviart P. A. Ecole d'été d'analyse numérique. Méthodes particulaires. 1987.
24. Rivoalen E., Huberson S., Hauville F. Simulation numérique des équations de Navier Stokes 3D par une méthode particulaire. C. R. Acad. Sci. Paris Sér. II. 324:1997;543.
25. Saffman P. G. The velocity of viscous vortex rings. Stud. Appl. Math. 49:1970;371.
26. Shariff K., Leonard A. Vortex rings. Annu. Rev. Fluid Mech. 24:1992;235.
27. Stanaway S., Cantwell B. J., Spalart P. R. Navier-Stokes Simulation of Axisymmetric Vortex Rings. 1988.
28. Tung C., Ting L. Motion and decay of a vortex ring. Phys. Fluids. 10:1967;901.