An interface interaction method for compressible multifluids

Journal of Computational Physics

Volumn 198, Issue 1, 2004, Pages 35-64

  Hu, X Y ^a   Khoo, B C ^b  

^a SINGAPORE MIT ALLIANCE   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

INTERFACE STATES;

GHOST FLUID METHOD; INTERACTION METHODS; INTERFACE INTERACTION; MULTI-FLUIDS; NUMERICAL SCHEME;

NUMERICAL METHODS;

EID: 3042852865     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.12.018     Document Type: Article

References (41)

1. Abgrall R. Karni S. Computations of compressible multifluids J. Comput. Phys. 169 2001 594
2. Arienti M. Hung P. Morano E. Shepherd J.E. A level set approach to Eulerian-Lagrangian coupling J. Comput. Phys. 185 2003 213
3. Bagabir A. Drikakis D. Mach number effects on shock-bubble interaction Shock Waves 11 2001 209
4. Ball G.J. Howell B.P. Leighton T.G. Schofield M.J. Shock induced collapse of a cylinder air cavity in water: a free Lagrange simulation Shock Waves 10 2000 265
5. Bourne N.K. Field J.E. Shock induced collapse of single cabities in liquids J. Fluid Mech. 244 1992 225
6. Cocchi J.P. Saurel R. A Riemann problem based method for the resolution of compressible multimaterial flows J. Comput. Phys. 137 1997 265
7. Davis S.F. An interface tracking method for hyperbolic systems of conservation laws Appl. Numer. Math. 10 1992 447
8. Ding Z. Gracewski S.M. Behaviour of gas cavity impacted by weak and strong shock waves J. Fluid Mech. 309 1995 183
9. Fedkiw R. Marquina A. Merriman B. An isobaric fix for the overheating problem in multimaterial compressible flows J. Comput. Phys. 148 1999 545
10. Fedkiw R. Aslam T. Merriman B. Osher S. A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method) J. Comput. Phys. 152 1999 457
11. Fedkiw R. Aslam T. Xu S. The ghost fluid method for deflagration and detonation discontinuities J. Comput. Phys. 154 1999 393
12. Fedkiw R. The ghost fluid method for discontinuities and interfaces Toro E.F. Godunov Methods 2001 Kluwer Academic Publishers New York
13. Fedki R. Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method J. Comput. Phys. 175 2002 200
14. George W.L. Warren J.A. A parallel 3D dendritic growth simulator using the phase-field method J. Comput. Phys. 177 2002 264
15. Glimm J. Marchesin D. McBryan O. A numerical method for two phase flow with an unstable interface J. Comput. Phys. 39 1981 179
16. Glimm J. Grove J.M. Li X.L. Zhao N. Simple front tracking in: Chen G.Q. DiBebedetto E. (Eds.), Contemporary Mathematics vol. 238 1999 AMS Providence, RI
17. Glimm J. Li X.L. Li Y.J. Zhao N. Conservative front tracking and level set algorithms PNAS 98 2001 14198
18. Grove J. Manikoff R. Anomalous reflection of shock wave at a fluid interface J. Fluid Mech. 219 1990 313
19. Hass J.F. Sturtevant B. Interaction of weak shock waves with cylinderical and spherical gas inhomogeneities J. Fluid Mech. 318 1987 129
20. Hirsch C. Numerical Computation of Internal and External Flows vol. 2 1990 Wiley New York
21. Hirt C.W. Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries J. Comput. Phys. 39 1981 201
22. Jiang G.S. Shu C.W. Efficient implementation of weighted ENO schemes J. Comput. Phys. 126 1996 202
23. Lai M.C. Peskin C.S. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity J. Comput. Phys. 160 2000 705
24. Y. Lian, K. Xu, A gas-kinetic scheme for multimaterial flows and its application in chemical reaction, NASA/CR 19990-209364, 1999
25. Liu T.G. Khoo B.C. Yeo K.S. The simulation of compressible multi-medium flow, part I: a new methodology with application to 1D gas-gas and gas-water cases Comput. Fluids 30 2001 291
26. Liu L.T.G. Khoo B.C. Yeo K.S. The simulation of compressible multi-medium flow, part II: application to 2D underwater shock refraction Comput. Fluids 30 2001 315
27. Liu T.G. Khoo B.C. Yeo K.S. Ghost fluid method for strong shock impacting on material interface J. Comput. Phys. 190 2003 651
28. Mudler W. Osher S. Sethian J.A. Computing interface motion in compressible gas dynamics J. Comput. Phys. 100 1992 209
29. D. Nguyen, F. Gibou, R. Fedkiw, A fully conservative ghost fluid method and stiff detonation waves. In: Proc. of the 12th International Detonation Symposium, San Diego, CA, August 11-16, 2002
30. Osher S. Sethain J.A. Front propagating with curvature dependent speed: algorithm based on Hamilton-Jaccobi formulation J. Comput. Phys. 79 1988 12
31. Peng D. Merriman B. Osher S. Zhao H. Kang M. A PDE-based fast local level set method J. Comput. Phys. 155 1999 410
32. Quirk J.J. Karni S. On the dynamics of shock-bubble interaction J. Fluid Mech. 318 1996 129
33. Rudinger G. Wave Diagrams for Nonsteady Flow in Ducts 1969 Dover New York
34. Sethain J.A. Fast marching methods SIAM Rev. 41 1999 199
35. Shu C.W. Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes J. Comput. Phys. 77 1988 439
36. Shu C.W. High order ENO and WENO schemes for computational fluid dynamics in: Barth T.J. Deconinck H. (Eds.), High-order Methods for Computational Physics 1999 Springer Berlin
37. Sussman M. Smereka P. Osher S. A level set approach for computing solutions to incompressible two-phase flow J. Comput. Phys. 114 1994 146
38. Tang H.S. Huang D. A second-order accurate capturing scheme for 1D inviscid flows of gas and water with vacuum zones J. Comput. Phys. 128 1996 301
39. Woodward P. Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks J. Comput. Phys. 54 1984 115
40. Yabe T. Xiao F. Utsumi T. The constrained interpolation profile method for multiphase analysis J. Comput. Phys. 169 2001 556
41. Youngs D.L. Time-dependent multi-material flow with large fluid distortion in: Morton K.W. Baines M.J. (Eds.), Numerical Methods for Fluid Dynamics 1982 Academic Press New York