| 双曲型守恒律的高阶、高分辨有限体积法 |
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| 引用本文： | 李荫藩,宋松和,周铁.双曲型守恒律的高阶、高分辨有限体积法[J].力学进展,2001,31(2):245-263. |
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| 作者姓名： | 李荫藩 宋松和 周铁 |
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| 作者单位： | 北京中科院计算数学与科学工程计算所 |
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| 基金项目： | 北京应用物理与计算数学研究所实验室资助
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| 摘 要： | 有限体积法是一种离散积分形式守恒律的数值方法。它可以吸
收有限元法和有限差分法的一些重要思想与技巧。由于它可方便地利
用多种类型的网格(结构网格和非结构网格)，从而非常适用于处理复
杂计算区域，目前已成为一种在计算流体力学中十分重要的方法。本
文将针对二维双曲守衡律，对高精度、高分辨的有限体积法及其近年
来的进展做一简要介绍。
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| 关 键 词： | 双曲守恒律 有限体积法 结构网格 无结构网格 高精度、 高分辨格式 |
| 修稿时间： | 2000年3月30日 |
HIGH ORDER, HIGH RESOLUTION FINITE VOLUME METHODS FOR HYPERBOLIC CONSERVATION LAWS |
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| Li Yinfan Institute of Computational Mathematics and Scientific/ Engineering Computing,Chinese Academy of Sciences,BeJing ,China Song Songhe.HIGH ORDER, HIGH RESOLUTION FINITE VOLUME METHODS FOR HYPERBOLIC CONSERVATION LAWS[J].Advances in Mechanics,2001,31(2):245-263. |
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| Authors: | Li Yinfan Institute of Computational Mathematics and Scientific/ Engineering Computing Chinese Academy of Sciences BeJing China Song Songhe |
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| Institution: | Li Yinfan Institute of Computational Mathematics and Scientific/ Engineering Computing,Chinese Academy of Sciences,Be1Jing 100080,China Song Songhe Department of Applied Mathematics,National University of Defence Technology,Changsha 410073,China Zho |
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| Abstract: | Finite volume method is a numerical method that discretizes the conservation laws in the integration form. It combines the merit of the finite element method with that of the finite difference method. Now finite volume methods on unstructured meshes are very popular in CFD because of the geometric flexibility and adaptivity of computational grids. In this paper, we review the development of high order, high resolution finite volume methods for 2-D hyperbolic conservation laws. |
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| Keywords: | hyperbolic conservation laws finite volume method structured mesh unstructured mesh high order and high resolution schemes |
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