The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids
The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids
复制标题
DOI：
10.1016/j.jcp.2011.06.018
复制
发表时间：
2011-09
期刊：
影响因子：
--
通讯作者：
Wanai Li;Yu-xin Ren;Guodong Lei;H. Luo
中科院分区：
文献类型：
--
作者：
Wanai Li;Yu-xin Ren;Guodong Lei;H. Luo
基于加权平均方法，提出了一种新的非结构网格上求解多维双曲型守恒律方程的有限体积方法。这些限制器的开发受到Choi和Liu [10]的有偏平均程序的启发。本限制器的显着特点是新的偏置函数和加权平均程序，这使得本限制器，以捕捉强冲击波，并实现良好的收敛，稳态计算。通过研究限制器的渐近行为，揭示了限制器消除不连续点附近寄生振荡的机理。各种测试用例的数值实验，以证明所提出的限制器的上级性能。
Novel limiters based on the weighted average procedure are developed for finite volume methods solving multi-dimensional hyperbolic conservation laws on unstructured grids. The development of these limiters is inspired by the biased averaging procedure of Choi and Liu [10]. The remarkable features of the present limiters are the new biased functions and the weighted average procedure, which enable the present limiter to capture strong shock waves and achieve excellent convergence for steady state computations. The mechanism of the developed limiters for eliminating spurious oscillations in the vicinity of discontinuities is revealed by studying the asymptotic behavior of the limiters. Numerical experiments for a variety of test cases are presented to demonstrate the superior performance of the proposed limiters.