双曲守恒律的拟单调二阶格式  

SECOND-ORDER QUASIMONOTONE SCHEMES FOR CONSERVATION LAWS

作　　者：胡长青[1] 

机构地区：[1]中国科学院计算中心

出　　处：《数值计算与计算机应用》1994年第2期148-154,共7页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金;攀登计划大规模科学工程计算项目

摘　　要：双曲守恒律的拟单调二阶格式胡长青（中国科学院计算中心）ＳＥＣＯＮＤ－ＯＲＤＥＲＱＵＡＳＩＭＯＮＯＴＯＮＥＳＣＨＥＭＥＳＦＯＲＣＯＮＳＥＲＶＡＴＩＯＮＬＡＷＳ￥ＨｕＣｈａｎｇ－ｑｉｎｇ（ＣｏｍｐｕｔｉｎｇＣｅｎｔｅｒ，ＡｃａｄｅｍｉａＳｉｎｉｃａ）Ａｂ...Abstract A class of second-order quasimonotone schemes using FDS (flux-difference-splitting) methods is constructed. The schemes are total variation diminishing (TVD)in the case of one dimension, while they are second-order accurate in the case of two or three dimensions. Numerical experiments show that the schemes give no significant spurious oscillations near shocks. The shocks are highly resolved.

关 键 词：双曲守恒律 单调二阶格式 TVD格式 

分 类 号：O241.82[理学—计算数学]