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任意多面体网格上的欧拉方程数值算法
引用本文:李书杰,杨国伟.任意多面体网格上的欧拉方程数值算法[J].航空学报,2011,32(9):1608-1615.
作者姓名:李书杰  杨国伟
作者单位:中国科学院力学研究所高温气体动力学重点实验室,北京,100190
基金项目:中国科学院研究生科技创新与社会实践资助专项(2009)~~
摘    要:发展并验证了一种新的支持多面体网格的欧拉方程离散算法,采用Fortran 95编写了支持任意网格拓扑及三维复杂外形的通用求解器.在空间离散上,基于径向基函数理论提出了一种新的梯度计算方法,并采用动能通量分裂格式来得到准确并且稳定的二阶精度重构.该方法不依赖于网格几何形状,因此对网格质量不敏感.由于在时间方向采用了点隐松...

关 键 词:多面体网格  蜂窝网格  径向基函数  动能通量分裂  非结构  复杂外形  可压缩流动
收稿时间:2010-11-30;

Numerical Algorithm of Euler Equations on Arbitrary Polyhedral Grids
LI Shujie,YANG Guowei.Numerical Algorithm of Euler Equations on Arbitrary Polyhedral Grids[J].Acta Aeronautica et Astronautica Sinica,2011,32(9):1608-1615.
Authors:LI Shujie  YANG Guowei
Institution:LI Shujie,YANG Guowei*Laboratory of High Temperature Gas Dynamics,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China
Abstract:A new algorithm for solving Euler equations on polyhedral grids is developed and validated in this paper.A general solver which supports arbitrary mesh topology and three-dimensional complex geometry is constructed by using Fortran 95 language.For spatial discretization,a new improved radial basis function method is proposed for gradient calculation.An accurate and robust second-order reconstruction is achieved by using the kinetic flux vector splitting scheme.The new method does not depend on the geometry ...
Keywords:polyhedral grid  honeycomb grid  radial basis function  kinetic flux vector splitting  unstructured  complex geometry  compressible flow  
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