Maire P H. A high order cell-centered Lagrangian scheme for two dimensional compressible fluid flows on unstructured meshes [J]. J Comput Phys, 2009, 228(7): 2391-2425.
[2]
Liu Y, Tian B L, Shen W D, et al. The practical MFCAV Riemann solver is applied to a new cell-centered Lagrangian method [J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 259-268. (in Chinese)
Liu Y, Mao D K. Further development of a conservative front-tracking method for system of conservation laws in one space dimension [J]. Journal of Scientific Computing, 2006, 28(1): 85-119.
[7]
Wang C W, Tang H Z, Liu T G. An adaptive ghost fluid finite volume method for compressible gas-water simulations [J]. J Comput Phys, 2008, 227(12): 6385-6409.
[8]
Hirt C W, Amsden A A, Cook J L. An arbitrary Lagrangian-Eulerian computing method for all flow speeds [J]. J Comput Phys, 1974, 14(3): 227-254.
[9]
Benson D J. Momentum advection on a staggered mesh [J]. J Comput Phys, 1992, 100(1): 143-162.
[10]
Loubere R, Shashkov M J. A subcell remapping method on staggered polygonal grids for arbitrary Lagrangian-Eulerian method [J]. J Comput Phys, 2005, 209(1): 105-138.
[11]
Addessio F L, Duckowicz J K. CAVEAT: A computer code for fluid dynamics problems with large distortion and internal slip, LA-10613-MS [R]. New Mexico: Los Alamos National Laboratory, 1992.
[12]
Duckowicz J K, Meltz B. Vorticity errors in multidimensional Lagrangian codes [J]. J Comput Phys, 1992, 99(1): 115-134.
[13]
Maire P H, Breil J, Galera S. A cell-centered arbitrary Lagrangian-Eulerian(ALE) method [J]. Int J Mumer Meth Fluids, 2008, 56(8): 1161-1166.
[14]
Wang R L. The study of structural gird generation technology [R]. Beijing: Institute of Applied Physics and Computational Mathematics, 2000. (in Chinese)
[15]
王瑞利. 结构网格生成技术研究 [R]. 北京: 北京应用物理与计算数学研究所, 2000.
[16]
Hyman J M, Li S T, Knupp P, et al. An algorithm for aligning a quadrilateral grid with internal boundaries [J]. J Comput Phys, 2000, 163(1): 133-149.
[17]
Robey T H. An adaptive grid technique for minimizing heterogeneity of cells or elements [J]. Math Geol, 1995, 27(6): 709-729.
[18]
Trepanier J Y, Paraschivoiu M, Reggio M. A conservative shock fitting methods on unstructured grids [J]. J Comput Phys, 1996, 126(2): 421-433.
[19]
Toro E F. Riemann Solvers and Numerical Methods for Fluid Dynamics [M]. Berlin, Heidelberg: Springer-Verlag, 2009.