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

Published online by Cambridge University Press:  20 August 2015

Xiaogang Deng ,
Meiliang Mao ,
Guohua Tu ,
Hanxin Zhang  and
Yifeng Zhang
Xiaogang Deng*
Affiliation:
State Key Laboratory of Aerodynamics, Aerodynamics Research & Development Center, Mianyang, 621000, P.R. China
Meiliang Mao*
Affiliation:
State Key Laboratory of Aerodynamics, Aerodynamics Research & Development Center, Mianyang, 621000, P.R. China
Guohua Tu*
Affiliation:
State Key Laboratory of Aerodynamics, Aerodynamics Research & Development Center, Mianyang, 621000, P.R. China
Hanxin Zhang*
Affiliation:
State Key Laboratory of Aerodynamics, Aerodynamics Research & Development Center, Mianyang, 621000, P.R. China
Yifeng Zhang*
Affiliation:
State Key Laboratory of Aerodynamics, Aerodynamics Research & Development Center, Mianyang, 621000, P.R. China
*
Corresponding author.Email:xgdeng@skla.cardc.cn
Email:mlmao@skla.cardc.cn
Email:ghtu@skla.cardc.cn
Email:hxzhang@skla.cardc.cn
Email:yfzhang@skla.cardc.cn

Abstract

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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 these methods 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 high-order finite difference schemes on complex multi-block grids, the geometric conservation law and block-interface conditions are discussed. A conservative metric method 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 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.

Keywords

76M20WCNScomplex configurationsgeometric conservation lawconservative metric methodscharacteristic-based interface conditions
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 4 , April 2012 , pp. 1081 - 1102
Copyright
Copyright © Global Science Press Limited 2012

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