解二维标量双曲型守恒律的一类满足极值原理的无结构三角形网格有限体积方法  

A CLASS OF FINITE VOLUME SCHEME SATISFYING MAXIMUM PRINCIPLE FOR 2D SCALAR HYPERBOLIC CONSERVATION LAWS ON UNSTRUCTURED TRIANGULAR MESHES

作　　者：宋松和[1] 李荫藩[2] 

机构地区：[1]北京航空航天大学 [2]中国科学院计算数学与科学工程计算研究所

出　　处：《数值计算与计算机应用》1997年第2期106-113,共8页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金

摘　　要：A new finite volume scheme, based on first order monotone scheme and limited linear reconstruction, is constructed for scalar hyperbolic conservation laws in two dimension,the scheme satisfies the maximum principle and approximation the flux with second order accuracy. Numerical results for constant coefficient linear advection and Burgers’equation are presented.A new finite volume scheme, based on first order monotone scheme and limited linear reconstruction, is constructed for scalar hyperbolic conservation laws in two dimension,the scheme satisfies the maximum principle and approximation the flux with second order accuracy. Numerical results for constant coefficient linear advection and Burgers'equation are presented.

关 键 词：无结构网格 有限体积法 TVD格式 

分 类 号：O241[理学—计算数学]