Citation: | LIU Yan, SHEN Wei-Dong, TIAN Bao-Lin. Cell-Centered Arbitrary Lagrangian-Eulerian Method Based on a Global Grid Generation Technology[J]. Chinese Journal of High Pressure Physics, 2013, 27(3): 352-360. doi: 10.11858/gywlxb.2013.03.006 |
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.
|
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)
|
刘妍, 田保林, 申卫东, 等. 实用的体平均多流管(MFCAV)近似Riemann解在新型拉氏方法中的推广应用 [J]. 力学学报, 2012, 44(2): 259-268.
|
Li D Y, Xu G R, Shui H S, et al. Numerical Methods of Unsteady Hydrodynamics in Two Dimension [M]. Beijing: Science Press, 1987. (in Chinese)
|
李德元, 徐国荣, 水鸿寿, 等. 二维非定常流体力学数值方法 [M]. 北京, 科学出版社, 1987.
|
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.
|
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.
|
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.
|
Benson D J. Momentum advection on a staggered mesh [J]. J Comput Phys, 1992, 100(1): 143-162.
|
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.
|
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.
|
Duckowicz J K, Meltz B. Vorticity errors in multidimensional Lagrangian codes [J]. J Comput Phys, 1992, 99(1): 115-134.
|
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.
|
Wang R L. The study of structural gird generation technology [R]. Beijing: Institute of Applied Physics and Computational Mathematics, 2000. (in Chinese)
|
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.
|
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.
|
Robey T H. An adaptive grid technique for minimizing heterogeneity of cells or elements [J]. Math Geol, 1995, 27(6): 709-729.
|
Trepanier J Y, Paraschivoiu M, Reggio M. A conservative shock fitting methods on unstructured grids [J]. J Comput Phys, 1996, 126(2): 421-433.
|
Toro E F. Riemann Solvers and Numerical Methods for Fluid Dynamics [M]. Berlin, Heidelberg: Springer-Verlag, 2009.
|