| 带新熵函数的Entropy-Ultra-bee格式计算线性传输方程 |
| |
| 引用本文： | 陈荣三,肖莉,邹敏.带新熵函数的Entropy-Ultra-bee格式计算线性传输方程[J].数学杂志,2016,36(5):975-980. |
| |
| 作者姓名： | 陈荣三 肖莉 邹敏 |
| |
| 作者单位： | 中国地质大学(武汉)数学与物理学院, 湖北 武汉 430074,中国地质大学(武汉)数学与物理学院, 湖北 武汉 430074,中国地质大学(武汉)数学与物理学院, 湖北 武汉 430074 |
| |
| 基金项目： | 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.
|
| 关 键 词： | 线性发展方程 一个新的熵函数 Entropy-Ultra-bee格式 |
| 收稿时间： | 2015/7/7 0:00:00 |
| 修稿时间： | 2015/11/3 0:00:00 |
ENTROPY-ULTRA-BEE SCHEME WITH A NEW ENTROPY FUNCTION FOR LINEAR ADVECTION EQUATION |
| |
| CHEN Rong-san,XIAO Li and ZOU Min.ENTROPY-ULTRA-BEE SCHEME WITH A NEW ENTROPY FUNCTION FOR LINEAR ADVECTION EQUATION[J].Journal of Mathematics,2016,36(5):975-980. |
| |
| Authors: | CHEN Rong-san XIAO Li and ZOU Min |
| |
| Institution: | School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China,School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China and School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China |
| |
| Abstract: | 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. |
| |
| Keywords: | linear advection equation a new entropy function Entropy-Ultra-bee scheme |
|
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
