| 变形法移动网格求解双曲型守恒律方程研究 |
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| 引用本文： | 陈冬冬,宋松和. 变形法移动网格求解双曲型守恒律方程研究[J]. 微机发展, 2010, 0(2): 1-4,8 |
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| 作者姓名： | 陈冬冬 宋松和 |
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| 作者单位： | 国防科学技术大学理学院;中国人民解放军63892部队; |
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| 基金项目： | 国家自然科学基金资助项目(10571178) |
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| 摘 要： | 在现有格式的基础上要提高偏微分方程数值解的分辨率，自适应移动网格技术是一种有效而且可行的方法。文中将文献[1]提出的自适应移动网格技术推广到三角形网格，并将该方法用于求解双曲型守恒量方程。用网格自适应技术求解守恒律问题时，当生成新网格之后，需要将旧网格上的函数值更新到新的网格，并保持物理量的守恒性。针对这个问题，文中提出了函数值更新过程中守恒型插值公式的具体形式，并针对二维双曲型守恒律方程进行了仿真实验，取得了满意的结果。
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| 关 键 词： | 变形法 移动网格 双曲型守恒律方程组 |
Research of Moving Mesh Method Based on Deformation in Solving Hyperbolic Conservation Laws |
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| CHEN Dong-dong,,SONG Song-he. Research of Moving Mesh Method Based on Deformation in Solving Hyperbolic Conservation Laws[J]. Microcomputer Development, 2010, 0(2): 1-4,8 |
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| Authors: | CHEN Dong-dong SONG Song-he |
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| Affiliation: | CHEN Dong-dong1,2,SONG Song-he1(1.Science School,National University of Defence Technology,Changsha 410073,China,2.PLA Unit 63892,Luoyang 471003,China) |
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| Abstract: | The adaptive moving mesh method is an efficient and practicable method to enhance the resolution of numerical solution of partial differential equation.Based on the scheme,this paper develops the moving mesh method based on deformation which Liao presented in reference[1] to triangular meshes.When applying adaptive mesh method in solving conservative laws,conservative variables must be updated on new mesh.Conserdering about this condition,the paper gives the updated equation from old mesh to new mesh in acc... |
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| Keywords: | deformation moving mesh hyperbolic conservation laws |
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