High-Order and High Accurate CFD Methods and Their Applications for Complex Grid Problems  

作　　者：Xiaogang Deng Meiliang Mao Guohua Tu Hanxin Zhang Yifeng Zhang 

机构地区：[1]State Key Laboratory of Aerodynamics,Aerodynamics Research&Development Center,Mianyang,621000,P.R.China

出　　处：《Communications in Computational Physics》2012年第4期1081-1102,共22页计算物理通讯（英文）

基　　金：This studywas supported by the project of National Natural Science Foundation of China(Grant 11072259 and 10621062);National Basic Research Program of China(Grant No.2009CB723800).The authors would like to thank Dr.Huayong Liu,and Assistant Researcher GuangxueWang of State Key Laboratory of Aerodynamics for their contributions.

摘　　要：The purpose of this article is to summarize our recent progress in high-order and high accurate CFD methods for flow problems with complex grids as well as to discuss the engineering prospects in using these methods.Despite the rapid development of high-order algorithms in CFD,the applications of high-order and high accurate methods on complex configurations are still limited.One of the main reasons which hinder the widely applications of thesemethods is the complexity of grids.Many aspects which can be neglected for low-order schemes must be treated carefully for high-order ones when the configurations are complex.In order to implement highorder finite difference schemes on complex multi-block grids,the geometric conservation lawand block-interface conditions are discussed.A conservativemetricmethod is applied to calculate the grid derivatives,and a characteristic-based interface condition is employed to fulfil high-order multi-block computing.The fifth-order WCNS-E-5 proposed by Deng[9,10]is applied to simulate flows with complex grids,including a double-delta wing,a transonic airplane configuration,and a hypersonic X-38 configuration.The results in this paper and the references show pleasant prospects in engineering-oriented applications of high-order schemes.

关 键 词：WCNS complex configurations geometric conservation law conservative metric methods characteristic-based interface conditions 

分 类 号：O35[理学—流体力学]