带新熵函数的Entropy-Ultra-bee格式计算线性传输方程（英文）  

ENTROPY-ULTRA-BEE SCHEME WITH A NEW ENTROPY FUNCTION FOR LINEAR ADVECTION EQUATION

作　　者：陈荣三[1] 肖莉[1] 邹敏[1] 

机构地区：[1]中国地质大学(武汉)数学与物理学院,湖北武汉430074

出　　处：《数学杂志》2016年第5期975-980,共6页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11201436)

摘　　要：本文研究了线性传输方程的数值解法.利用物理的熵函数得到了一种新的Entropy-Ultrabee格式.数值实验表明该格式长时间计算效果非常好,在间断附近有比较高的分辨率.In this paper,we investigate the numerical solutions for linear advection equation.A new Entropy-Ultra-bee scheme is obtained by using physical entropy function.Numerical experiments show that the scheme has a very good quality in long-time numerical computation and has high resolution in the vicinity of continuities.

关 键 词：线性发展方程 一个新的熵函数 Entropy-Ultra-bee格式 

分 类 号：O241.82[理学—计算数学]