间断流函数守恒律方程的高精度有限差分格式  

The High-Order Accurate Methods for the Scalar Conservation Laws with Discontinuous Flux

作　　者：王国栋[1,2] 

机构地区：[1]上海大学理学院数学系,上海200444 [2]安徽建筑工业学院数理系,合肥230022

出　　处：《应用数学与计算数学学报》2008年第2期41-48,共8页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金(No.10671120);安徽省教育厅基金项目(No.KJ2007B180);安徽建筑工业学院硕博项目(No.2005110112)资助.

摘　　要：本文研究了具有间断流函数的守恒律方程,借助本质无振荡(ENO)的思想,利用Rankine-Hugoniot关系和全局熵条件设计出一种高精度计算格式;并利用此格式计算出相关情形的Riemann问题,显示了满意的数值解果.In this paper, the scalar conservation laws with discontinuous flux function is considered. By the idea of ENO, the Rankine-Hugoniot relation and global entropy, design a scheme which is the high-order accuracy, and calculate several numerical examples about the Riemann problem. The numerical results are displayed to illustrate the efficiency of the methods.

关 键 词：守恒律方程 间断流函数 高精度 RIEMANN问题 

分 类 号：O241.82[理学—计算数学] O35[理学—数学]