| 求解可压缩流的高精度非结构网格WENO有限体积法 |
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| 引用本文： | 雷国东,李万爱,任玉新.求解可压缩流的高精度非结构网格WENO有限体积法[J].计算物理,2011,28(5):633-640. |
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| 作者姓名： | 雷国东 李万爱 任玉新 |
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| 作者单位： | 1. 中国航空研究院, 北京 100012;2. 清华大学航天航空学院, 北京 100084 |
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| 摘 要： | 提出-种基于最小二乘重构和WENO限制器的非结构网格高精度有限体积方法.用中心网格的某些邻居网格建立重构多项式,给出-定的原则搜索和存储足够多的邻居网格以建立重构多项式,采用最小二乘法求解重构多项式的系数.用-种通用的方法控制重构邻居个数,以减少存储和计算,采用WENO限制器和旋转Riemann求解器以达到统-的高精度并且抑制守恒律方程求解中的非物理振荡.为检验上述算法,以基于节点的梯度重构,Bath and Jesperson限制器的二阶算法为基准,给出三阶和四阶格式与二阶格式以及高阶格式若干经典算例计算结果的对比和分析.
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| 关 键 词： | 最小二乘重构 高精度 非结构网格 WENO有限体积法 旋转Riemann求解器 |
| 收稿时间： | 2010-10-19 |
| 修稿时间： | 2011-02-16 |
A High-order Unstructured-grid WENO FVM for Compressible Flow Computation |
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| LEI Guodong,LI Wanai,Ren Yuxin.A High-order Unstructured-grid WENO FVM for Compressible Flow Computation[J].Chinese Journal of Computational Physics,2011,28(5):633-640. |
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| Authors: | LEI Guodong LI Wanai Ren Yuxin |
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| Institution: | 1. Chinese Aeronautical Establishment, Beijing 100012, China;2. School of Aerospace, Tsinghua University, Beijing 100084, China |
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| Abstract: | A general high-order unstructured-grid finite volume method based on least-square reconstruction and WENO limiter is presented.Some of the neighboring cells are employed to construct high-order polynomials,a least-square method is used to solve over-determined problem.The number of neighboring cells can be reduced with a general method,which saves memory and computing time.To achieve uniform accuracy and depress non-physical oscillation of conservation laws,a WENO limiter and rotated Riemann solver are empl... |
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| Keywords: | least-square reconstruction high-order unstructured grids WENO FVM rotated Riemann solver |
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