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满足3个守恒律的Godunov型格式 被引量：1

Godunov Type Scheme Satisfying Three Conservation Laws
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摘要 为将已有的一维守恒律方程满足多个守恒律的Godunov型格式推广到高维守恒律方程中,对二维的线性传输方程设计了一个满足3个守恒律的Godunov型格式.数值试验表明,该格式具有长时间的保结构性. In order to apply Godunov type scheme satisfying several conservation laws for one dimensional hyperbolic conservation laws to multi-dimensional hyperbolic conservation laws,this paper designs a Godunov type scheme satisfying three conservation laws for two dimensional linear advection equation.The numerical experiments show that this scheme has good structure preserving property in long time numerical simulations.
作者 王志刚
机构地区 阜阳师范学院数学系
出处 《上海交通大学学报》 EI CAS CSCD 北大核心 2012年第10期1697-1700,1706,共5页 Journal of Shanghai Jiaotong University
基金 安徽省高等学校优秀青年人才基金资助项目(2010SQRL145)
关键词 二维线性传输方程 守恒律 Godunov型格式 two dimensional linear advection equation conservation laws Godunov type scheme
分类号 O241.82 [理学—计算数学]
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参考文献14

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二级参考文献23

  • 1李红霞,茅德康.单个守恒型方程熵耗散格式中熵耗散函数的构造[J].计算物理,2004,21(3):319-326. 被引量：9
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共引文献10

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二级引证文献6

上海交通大学学报
2012年 第10期

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