摘要
本文利用单调数值通量和分片线性重构导数的方法构造了一种求HJ方程数值解的有限差分格式:MUSCL格式,并证明该格式具有TVB稳定性.数值实验表明该格式具有二阶精度,能避免产生伪振荡,尤其在类似"角点"的间断处有较好的分辩率.
Based on monotone numerical flux and piecewise linear reconstruction method for derivative,this paper constructs a finite difference scheme for Hamilton-Jacobi equation, which is called MUSCL scheme. It is proved that the scheme has the property of TVB stability. Numerical experiments suggest that it is a second order scheme and free from spurious oscillations and, that it has good behavior at the corner-like discontinuity.
出处
《应用数学》
CSCD
北大核心
2009年第2期255-259,共5页
Mathematica Applicata
基金
国家自然科学基金资助项目(10571046)
