解Hamilton-Jacobi方程的MUSCL格式  

MUSCL Scheme for Hamilton-Jacobi Equations

作　　者：祝鹏[1] 周叔子[1] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《应用数学》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)

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.

关 键 词：Hamilton—Jacobi方程 MUSCL格式 单调数值通量 TVB 

分 类 号：O241.82[理学—计算数学]