[1] 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, 1998:246-288. [2] CARAMANA E J, SHASHKOV M J. Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal mass and pressures[J]. J Comput Phys, 1998, 142(2):521-561. [3] CARAMANA E J, BURTON D E, SHASHKOV M J, et al. The construction of compatible hydrodynamics algorithms utilizing conservation of total energy[J]. J Comput Phys, 1998, 146():227-262. [4] LIPNIKOV K,SHASHKOV M J. A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes[J]. J Comput Phys, 2010, 229():7911-7941 [5] DESPRES B, MAZERAN C. Lagrangian gas dynamics in two dimensions and Lagrangian systems[J]. Archive for Rational Mechanics and Analysis, 2005, 178():327-372. [6] MAIRE P H, ABGRALL R, BREIL J, et al. A cell-centered Lagrangian scheme for multidimensional compressible flow problems[J]. SIAM J Sci Comput, 2007, 29(4):1781-1824. [7] SHEN Z J, YAN W, YUAN G W. A robust and contact resolving Riemann solver on unstructured mesh, Part I:Euler method[J]. J Comput Phys, 2014, 268(2):432-455. [8] SHEN Z J, YAN W, YUAN G W. A robust and contact resolving Riemann solver on unstructured mesh, Part Ⅱ:ALE method[J]. J Comput Phys, 2014, 268(2):456-484. [9] SHEN Z J, YAN W, YUAN G W. A robust HLLC-type Riemann solver for strong shock[J]. J Comput Phys,2016, 309(C):185-206. [10] TORO E T, SPRUCE M, SPEARES W. Restoration of the contact surface in the HLL-Riemann solver[J]. Shock Wave, 1994, (4):25-34. [11] HARTEN A, LAX P D, van LEER B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws[J]. SIAM Review, 1983,25:35-61. [12] SOD G A. A survey of several finite difference methods for systems of non-linear hyperbolic conservation laws[J]. J Comput Phys, 1978, 27:1-31. [13] SEDOV L. Similarity and dimensional methods in mechanics[M]. Academic Press, 1959. [14] NOH W F. Errors for calculations of strong shocks using artificial viscosity and an artificial heat flux[J]. J Comput Phys, 1987, 72:78-120. |