| 满足3个守恒律的Godunov型格式 |
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| 引用本文： | 王志刚.满足3个守恒律的Godunov型格式[J].上海交通大学学报,2012,46(10):1697-1700. |
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| 作者姓名： | 王志刚 |
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| 作者单位： | （阜阳师范学院 数学系， 安徽 阜阳 236041） |
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| 基金项目： | 安徽省高等学校优秀青年人才基金资助项目(2010SQRL145) |
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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．
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| 关 键 词： | 二维线性传输方程 守恒律 Godunov型格式 |
| 收稿时间： | 2012-03-14 |
Godunov Type Scheme Satisfying Three Conservation Laws |
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| WANG Zhi-gang.Godunov Type Scheme Satisfying Three Conservation Laws[J].Journal of Shanghai Jiaotong University,2012,46(10):1697-1700. |
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| Authors: | WANG Zhi-gang |
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| Institution: | (Department of Mathematics, Fuyang Teachers College, Fuyang 236041, Anhui, China) |
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| Abstract: | 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. |
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| Keywords: | two dimensional linear advection equation conservation laws Godunov type scheme |
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