A volume of fluid method based ghost fluid method for compressible multi-fluid flows

Computers and Fluids

Volumn 90, Issue , 2014, Pages 113-122

  Bo, Wurigen ^a   Grove, John W ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Compressible multi phase flows; Ghost fluid method; Volume of fluid method

Indexed keywords

ADAPTIVE MESH REFINEMENT; GHOST FLUID METHOD; INTERFACE-CAPTURING METHOD; MULTI-FLUID FLOW; NON EQUILIBRIUM; SHOCK REFRACTION; SPATIAL DIMENSION; VOLUME OF FLUID METHOD;

ACOUSTIC IMPEDANCE; BRIDGE PIERS; FLOW OF FLUIDS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 84890029197     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2013.11.013     Document Type: Article

References (51)

1. Chern I.-L., Glimm J., McBryan O., Plohr B., Yaniv S. Front tracking for gas dynamics. J Comput Phys 1986, 62:83-110.
2. Glimm J., Grove J.W., Lindquist W.B., McBryan O., Tryggvason G. The bifurcation of tracked scalar waves. SIAM J Sci Comput 1988, 9:61-79.
3. Glimm J., Grove J.W., Li X.-L., Shyue K.-M., Zhang Q., Zeng Y. Three dimensional front tracking. SIAM J Sci Comput 1998, 19:703-727.
4. Agresar G., Linderman J., Tryggvason G., Powell K. An adaptive, Cartisian, front-tracking method for the motion, deformation, and adhension of circulating cells. J Comput Phys 1998, 142:346-380.
5. Tryggvason G., Unverdi S.O. Computations of three-dimensional Rayleigh-Taylor instability. Phys Fluids A 1990, 2(5):656.
6. Tryggvason G., Bunner B., Esmaeeli A., Juric D., Al-Rawahi N., Tauber W., et al. A front-tracking method for the computations of multiphase flow. J Comput Phys 2001, 169:708-759.
7. Osher S., Sethian J. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi equations. J Comput Phys 1988, 79:12-49.
8. Sethian J.A. Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws. J Differ Geom 1990, 31:131-161.
9. Mulder R., Osher S., Sethian J.A. Computing interface motion in compressible gas dynamics. J Comput Phys 1992, 100:209-228.
10. Sethian J.A. Level set methods 1996, Cambridge University Press.
11. Fedkiw R.P., Aslam T., Merriman B., Osher S. A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J Comput Phys 1999, 152:457-492.
12. Osher S.J., Fedkiw R.P. Level sets and dynamic implicit surfaces 2002, Springer-Verlag, New York, ISBN: 0387954821.
13. Hirt C., Nichols B. Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 1981, 39:201-225.
14. Rider W.J., Kothe D.B. Reconstructing volume tracking. J Comput Phys 1998, 141(2):112-152.
15. Benson D.J. Computational methods in Lagrangian and Eulerian hydrocodes. Comput Methods Appl Mech Eng 1992, 99:235-394.
16. Hirt C., Amsden A.A., Cook J. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J Comput Phys 1974, 14(3):227-253.
17. Loubère R., Maire P.-H., Shashkov M. Reale: a reconnection arbitrary-Lagrangian-Eulerian method in cylindrical geometry. Comput Fluids 2011, 46(1):59-69. . 10.1016/j.compfluid.2010.08.024.
18. Breil J, Harribey T, Maire P-H, Shashkov M. A multi-material ReALE method with MOF interface reconstruction. Comput Fluids, in press. doi: 10.1016/j.compfluid.2012.08.015. http://www.sciencedirect.com/science/article/pii/S0045793012003301.
19. Richtmyer R., Morton K. Difference methods for initial value problems 1967, Interscience, New York. 2nd ed.
20. Fedkiw R. The ghost fluid method for discontinuities and interfaces. Godunov methods 2001, 309-317. Kluwer, New York. E.F. Toro (Ed.).
21. Terashima H., Tryggvason G. A front-tracking/ghost-fluid method for fluid interface in compressible flows. J Comput Phys 2009, 228:4012-4037.
22. Terashima H., Tryggvason G. A front-tracking method with projected interface conditions for compressible multi-fluid flows. Comput Fluids 2010, 39(10):1804-1814.
23. Bo W., Liu X., Glimm J., Li X. A robust front tracking method: verification and application to simulation of the primary breakup of a liquid jet. SIAM J Sci Comput 2011, 33:1505-1524.
24. Glimm J., Li X.-L., Liu Y.-J., Xu Z.L., Zhao N. Conservative front tracking with improved accuracy. SIAMJNA 2003, 41:1926-1947.
25. Glimm J., Li X.-L., Liu Y.-J. Conservative front tracking in one space dimension. Contem Math 2002, 295:253-264. [Proceedings of the Joint Summer Research Conference on Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment. Report SUNYSB-AMS-01-16].
26. Glimm J., Li X.-L., Liu Y.-J. Conservative front tracking in higher space dimensions. Trans Nanjing Univ Aeronaut Astronaut 2001, 18:1-15. [Proceedings of International Workshop on Computational Methods for Continuum Physics and Their Applications (IWCCPA), Nanjing, China].
27. Colella P, Glas HM, Fergunson RE. Multifluid algorithms for Eulerian finite-difference methods. Tech rep. Lawrence Berkley National Laboratory; 1997. http://https://seesar.lbl.gov/anag/publications/colella/Phil1991.pdf.
28. Miller G.H., Puckett E.G. A high-order Godunov method for multiple condensed phases. J Comput Phys 1996, 128:134-164.
29. C. code team, xrage users manual. Tech Rep LA-CP-08-01044. Los Alamos National Laboratory; 2008.
30. Gittings M., Weaver R., Clover M., Betlach T., Byrne N., Coker R., et al. The rage radiation-hydrodynamic code. Comput Sci Discov 2008, 015005.
31. Grove J. Pressure-velocity equilibrium hydrodynamic models. Acta Math Sci 2010, 30:563-594.
32. Steinberg DJ. Equation of state and strength properties of selected materials. Tech Rep. UCRL-MA-106439-rev. Lawrence Livermore National Laboratory; 1996.
33. SESAME: The Los Alamos National Laboratory equation of state database; 1992. http://t1web.lanl.gov/doc/SESAME_3Ddatabase_1992.html.
34. Lyon SP, Johnson JD. Sesame: The Los Alamos National Laboratory equation of state database. Tech Rep. LA-UR-92-3407. Los Alamos National Laboratory; 1992.
35. Menikoff R., Plohr B. The Riemann problem for fluid flow of real materials. Rev Mod Phys 1989, 61:75-130.
36. Youngs D.L. Time-dependent multi-material flow with large fluid distortion. Numerical methods for fluid dynamics 1982, 273-285. Academic Press, New York. K.W. Morton, M.J. Baines (Eds.).
37. Glimm J., Grove J.W., Zhang Y. Interface tracking for axisymmetric flows. SIAM J Sci Comput 2002, 24:208-236. [lANL report No. LA-UR-01-448].
38. Wang C., Liu T., Khoo B. A real ghost fluid method for the simulation of multimedium compressible flow. SIAM J Sci Comput 2006, 28:278-302.
39. Nourgaliev R.R., Dinh T.N., Theofanous T.G. Adaptive characteristics-based matching for compressible multifluid dynamics. J Comput Phys 2006, 213(2):500-529.
40. Colella P. Multidimensional upwind methods for hyperbolic conservation laws. J Comput Phys 1990, 87:171-200.
41. van Leer B. Toward the ultimate conservative difference scheme: III. Upstream-centered finite-difference schemes for ideal compressible flow. J Comput Phys 1977, 23:263-275.
42. van Leer B. Towards the ultimate conservative difference scheme: V. A second order sequel to Godunov's method. J Comput Phys 1979, 32:101-136.
43. Liu T.G., Khoo B.C., Wang C.W. The ghost fluid method for compressible gas-water simulation. J Comput Phys 2005, 204(1):193-221.
44. Holmes R.L., Fryxell B., Gittings M., Grove J.W., Dimonte G., Schneider M., et al. Richtmyer-Meshkov instability growth: experiment, simulation, and theory. J Fluid Mech 1999, 389:55-79. [lA-UR-97-260].
45. Shyue K.-M. An efficient shock-capturing algorithm for compressible multicomponent problems. J Comput Phys 1998, 142(1):208-242.
46. Cocchi J.-P., Saurel R. A Riemann problem based method for the resolution of compressible multimaterial flows. J Comput Phys 1997, 137(2):265-298.
47. Bourne N.K., Field J.E. Shock-induced collapse of single cavities in liquids. J Fluid Mech 1992, 244:225-240.
48. Grove J.W., Menikoff R. The anomalous reflection of a shock wave at a material interface. J Fluid Mech 1990, 219:313-336.
49. Hu X.Y., Khoo B.C. An interface interaction method for compressible multifluids. J Comput Phys 2004, 198(1):35-64.
50. Richtmyer R.D. Taylor instability in shock acceleration of compressible fluids. Commun Pure Appl Math 1960, 13:297-319.
51. Maire P.-H. A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes. J Comput Phys 2009, 228(7):2391-2425.