用WENO方法求解双曲型守恒律方程组的初(边)值问题  

Weighted Essentially Non-oscillatory(WENO) Method for A Hyperbolic System for Conservation Laws

作　　者：唐云良[1] 盛万成[1] 

机构地区：[1]上海大学数学系,上海200444

出　　处：《应用数学与计算数学学报》2008年第2期85-92,共8页Communication on Applied Mathematics and Computation

摘　　要：本文用WENO算法解决双曲型守恒律方程组初(边值)问题.给出一种满足熵条件、S_δ熵条件和边界熵条件的WENO算法.通过这个算法就能得到守恒律方程组的数值解,数值解和理论解是非常吻合的.This paper is concerned with the WENO schemes for both initial and initial-boundary value problem of a hyperbolic system for conservation laws. We give a kind of WENO schemes, which satisfy the entropy condition, Sδ-entropy condition and the boundary entropy condition. By using them, numerical simulations for the entropy solutions of the hyperbolic system for conservation laws are delivered. And our numerical simulations are the same as theoretic solutions.

关 键 词：守恒律方程组 WENO算法 边界熵条件 Sδ熵条件 

分 类 号：O175.8[理学—数学]