[1] Karni S. Multicomponent flow calculations by a consistent primitive algorithm. J Comput Phys, 1994, 112: 31--43
[2] Abgrall R. How to prevent oscillation in multicomponent flow calculation. J Comput Phys, 1996, 125: 150--160
[3] Larouturou B. How to preserve the mass fraction positive when computing compressible multi-component flows. J Comput Phys, 1991, 95: 59--84
[4] Mulder W, Osher S, Sethian J A. Computing interface motion in compressible gas dynamics. J Comput Phys, 1992, 100: 209--228
[5] Chern I L, Glimm J, O McBryan, Plohr B, Yaniv S. Front tracking for gas dynamics. J Comput Phys, 1986, 62: 83--110
[6] Gardner C L, Glimm J, McBryan O, Menikoff R, Sharp D, Zhang Q. The dynamics of bubble growth for Rayleigh-Taylor unstable interfaces. Phys Fluids, 1988, 31: 447--465
[7] Glimm J, Grove J W, Li X L, Shyue K H, Zeng Y, Zhang Q. Three-dimensional front tracking. SIAM J Sci Comput, 1998, 19(3): 703--727
[8] Hirt C, Amsden A, Cook J. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J Comput Phys, 1974, 14: 76--85
[9] Margolin L G. Introduction to An Arbitrary Lagrangian-Eulerian computing method for all flow speeds. J Comput Phys, 1997, 135: 198--202
[10] Glimm J, Grove J, Li X L, Zhao N. Simple front tracking. Contemporary Mathematics, 1999, 238: 133--149
[11] Glimm J, Marchesin D, McBryan O. Subgrid resolution of fluid discontinuities II. J Comput Phys, 1980, 37: 198--202
[12] Cocchi J P, Saurel R. A Riemann problem based method for the resolution of compressible multimaterial flows. J Comput Phys, 1997, 137: 265--298
[13] Hao Y, Prosperetti A. A numerical method for three-dimensional gas-liquid flow computations. J Comput Phys, 2004, 196: 126--144
[14] Terashima H, Tryggvason G. A front-tracking/ghost-fluid method for fluid interfaces in compressible flows. J Comput Phys, 2009, 228: 4012--4037
[15] Tryggvason G, Bunner B, Esmaeeli A, et al. A front tracking method for the computations of multiphase flow. J Comput Phys, 2001, 169: 708--759
[16] 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
[17] Fedkiw R P. Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method. J Comput Phys, 2002, 175: 200--224
[18] Liu T G, Khoo B C, Yeo K S. Ghost fluid method for strong shock impacting on Material interface. J Comput Phys, 2003, 190: 651--681
[19] Hu X Y, Khoo B C. An interface interaction method for compressible multifluids. J Comput Phys, 2004, 198: 35--64
[20] Liu T G, Khoo B C, Wang C W. The ghost fluid method for compressible gas-water simulation. J Comput Phys, 2005, 204: 193--221
[2] Wang C W, Liu T G., Khoo B C. A real ghost fluid method for the simulation of multimedium compressible flow. SIAM J Sci Comput, 2006, 28: 278--302
[22] Adalsteinsson D, Sethian J A. A fast level set method for propagating interfaces. J Comput Phys, 1995, 118: 269--277
[23] Sethian J A, Strain J D. Crystal growth and dendritic solidification. J Comput Phys, 1992, 98: 231--253
[24] Flores J, Holt M. Glimm's method applied to underwater explosions. J Comput Phys, 1981, 44: 377--87
[25] Chen T J, Cooke C H. On the Riemann problem for liquid or gas-liquid media. Int J Numer Methods Fluids. 1994, 18: 529--41
[26] Glimm J, Grove J W, Zhang Y. Interface tracking for axisymmetric flows. SIAM J Sci Comput, 2002, 24: 208--236
[27] Unverdi S O, Tryggvason G. A front-tracking method for viscous, incompressible, multi-fluid flows. J Comput Phys, 1992, 100: 25--37
[28] Glimm J, Marchesin D, McBryan O. A numerical method for two phase flow with an unstable interface. J Comput Phys, 1981, 39: 179--200 |