Vortex model and simulations for Rayleigh-Taylor and Richtmyer-Meshkov instabilities

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 3 2, 2004, Pages

  Sohn, Sung Ik ^a,b  

^a Tongmyong University of Information Technology   (South Korea)

^b Gangneung Wonju National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BUBBLES (IN FLUIDS); COMPUTATION THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; GRAVITATION; INTERFACES (MATERIALS); POISSON EQUATION; SHOCK WAVES; VECTORS; VORTEX FLOW;

BUBBLE VELOCITY; GRAVITATIONAL ACCELERATION; POINT VORTEX METHOD; RAYLIEGH-TAYLOR INSTABILITY;

FLUID DYNAMICS;

EID: 37649029658     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.036703     Document Type: Article

References (35)

1. G.I. Taylor, Proc. R. Soc. London, Ser. A 201, 192 (1950).
2. R.D. Richtmyer, Commun. Pure Appl. Math. 13, 297 (1960).
3. D. Sharp, Physica D 12, 3 (1984).
4. G.R. Baker, D.I. Meiron, and S.A. Orszag, Phys. Fluids 23, 1485 (1980).
5. R. Menikoff and C. Zemach, J. Comput. Phys. 51, 28 (1983).
6. D.L. Youngs, Physica D 12, 32 (1984); Laser Part. Beams 12, 725 (1994).
7. D.L. Youngs, Physica D 12, 32 (1984); Laser Part. Beams 12, 725 (1994).
8. G. Tryggvason, J. Comput. Phys. 75, 253 (1988); H. Aref and G. Tryggvason, Phys. Rev. Lett. 62, 749 (1989).
9. G. Tryggvason, J. Comput. Phys. 75, 253 (1988); H. Aref and G. Tryggvason, Phys. Rev. Lett. 62, 749 (1989).
10. J.A. Zufiria, Phys. Fluids 31, 3199 (1988).
11. R.M. Kerr, J. Comput. Phys. 76, 48 (1988).
12. J.F. Hawley and N.J. Zabusky, Phys. Rev. Lett. 63, 1241 (1989).
13. J. Glimm, R. Menikoff, X.L. Li, D.H. Sharp, and Q. Zhang, Phys. Fluids A 2, 2046 (1990).
14. L.D. Cloutman and M.F. Wehner, Phys. Fluids A 4, 1821 (1992).
15. R.L. Holmes, J.W. Grove, and D.H. Sharp, J. Fluid Mech. 301, 51 (1995).
16. C. Mügler and S. Gauthier, Phys. Rev. E 58, 4548 (1998).
17. A. Rikanati, U. Alon, and D. Shvarts, Phys. Rev. E 58, 7410 (1998).
18. R.L. Holmes, G. Dimonte, B. Fryxell, M.L. Gittings, J.W. Grove, M. Schneider, D.H. Sharp, A.L. Velikovich, R.P. Weaver, and Q. Zhang, J. Fluid Mech. 389, 55 (1999).
19. J. Glimm, J.W. Grove, X.L. Li, and D.C. Tan, SIAM J. Sci. Comput. (USA) 21, 2240 (2000); J. Glimm, J.W. Grove, and Y.M. Zhang, ibid. 24, 208 (2002).
20. J. Glimm, J.W. Grove, X.L. Li, and D.C. Tan, SIAM J. Sci. Comput. (USA) 21, 2240 (2000); J. Glimm, J.W. Grove, and Y.M. Zhang, ibid. 24, 208 (2002).
21. Q. Zhang, Phys. Rev. Lett. 81, 3391 (1998).
22. S.-I. Sohn and Q. Zhang, Phys. Fluids 13, 3493 (2001).
23. V.N. Goncharov, Phys. Rev. Lett. 88, 134502 (2002).
24. S.-I. Sohn, Phys. Rev. E 67, 026301 (2003).
25. K.O. Mikaelian, Phys. Rev. E 67, 026319 (2003).
26. R. Krasny, J. Comput. Phys. 65, 292 (1986).
27. Q. Zhang and S.-I. Sohn, Phys. Lett. A 212, 149 (1996); Phys. Fluids 9, 1106 (1997).
28. Q. Zhang and S.-I. Sohn, Phys. Lett. A 212, 149 (1996); Phys. Fluids 9, 1106 (1997).
29. P. G. Saffman, Vortex Dynamics (Cambridge University Press, New York, 1992).
30. R. J. LeVeque, Numerical Methods for Conservation Laws (Birkhäuser, Basel, 1992).
31. J.W. Jacobs and J.M. Sheeley, Phys. Fluids 8, 405 (1996).
32. D. Layzer, Astrophys. J. 122, 1 (1955).
33. J. Zufiria, Phys. Fluids 31, 440 (1988).
34. A.N. Aleshin, E.V. Lazareva, S.G. Zaitsev, V.B. Rozanov, E.G. Gamalii, and I.G. Lebo, Sov. Phys. Dokl. 35, 159 (1990); M. Brouillette and B. Sturtevant, Phys. Fluids A 5, 916 (1993).
35. A.N. Aleshin, E.V. Lazareva, S.G. Zaitsev, V.B. Rozanov, E.G. Gamalii, and I.G. Lebo, Sov. Phys. Dokl. 35, 159 (1990); M. Brouillette and B. Sturtevant, Phys. Fluids A 5, 916 (1993).