| 二维浅水波方程的非结构网格ENO型有限体积法 |
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| 引用本文： | 朱华君,宋松和.二维浅水波方程的非结构网格ENO型有限体积法[J].湖南师范大学自然科学学报,2007,30(1):21-26. |
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| 作者姓名： | 朱华君 宋松和 |
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| 作者单位： | 国防科学技术大学数学与系统科学系,中国,长沙,410073 |
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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： | 考虑二维浅水波方程及其离散方法,对二维非结构三角形网格给出了ENO型有限体积法,主要思想是在每一个单元上对各物理量构造线性插值多项式,再选择不同的数值流函数,得到两种复合型有限体积格式,时间离散采用二阶Runge-Kutta方法.对二维溃坝问题进行数值模拟,结果表明,这两种格式精度高且稳定.
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| 关 键 词： | 非结构网格 有限体积法 浅水波方程 |
| 文章编号： | 1000-2537（2007）01-0021-06 |
| 收稿时间： | 2006-04-15 |
| 修稿时间： | 04 15 2006 12:00AM |
ENO-Style Finite Volume Method on Unstructured Meshes for the Two-Dimensional Shallow Water Equations |
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| ZHU Hua-jun,SONG Song-he.ENO-Style Finite Volume Method on Unstructured Meshes for the Two-Dimensional Shallow Water Equations[J].Journal of Natural Science of Hunan Normal University,2007,30(1):21-26. |
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| Authors: | ZHU Hua-jun SONG Song-he |
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| Institution: | College of Mathematies and Systemic Sciemce,National University of Defense and Technology ,Changaha 410073,China |
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| Abstract: | Two-dimensional shallow water equations and its discretization are presented.Combining with ENO scheme,some composite finite volum methods are put forward on two dimensional unstructured meshes.The composite FVM is formed by constructing a linear interpolation on every triangular mesh and choosing different flux functions.Two order TVD Runge-Kutta method is used for time discretization.Then,by using such methods,the numerical solutions of two-dimensional partial dam break problem are made on unstructured triangular meshes. The numerical results show that the proposed schemes are accurate and stable. |
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| Keywords: | unstructured triangular meshes finite volume method shallow water equation |
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