A Second-Order Godunov Method on Arbitrary Grids
A Second-Order Godunov Method on Arbitrary Grids
复制标题
任意网格上的二阶Godunov方法
DOI：
10.1006/jcph.1996.0067
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
E. Tabak
中科院分区：
文献类型：
--
作者：
E. Tabak
本文提出了一种在任意网格上求解一般守恒律方程组的二阶Goddom方法。讨论了一些应用：移动和变形网格，局部网格加密，拉格朗日网格，使接触不连续完全尖锐，和一种新的方法来解决时间相关的小扰动跨音速流动方程的气体动力学。作为算法的一部分，给出了一种求解广义Riemann问题的二阶精度方法。
A second-order Godunov method is proposed for the solution of general systems of conservation laws on arbitrary grids. Some applications are discussed: moving and deforming grids, local grid refinement, Lagrangian grids that make contact discontinuities perfectly sharp, and a new way to solve the time dependent small disturbance transonic flow equations of gas dynamics. As part of the algorithm, a way is presented to solve generalized Riemann problems with second-order accuracy.