| 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 |
| DOI： |
| 分类号:O241.82 |
| 基金项目:Supported by National Natural Science Foundation of China (11201436). |
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| ENTROPY-ULTRA-BEE SCHEME WITH A NEW ENTROPY FUNCTION FOR LINEAR ADVECTION EQUATION |
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CHEN Rong-san, XIAO Li, ZOU Min
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School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
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| 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. |
| Key words: linear advection equation a new entropy function Entropy-Ultra-bee scheme |
