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Extending Seventh-Order Dissipative Compact Scheme Satisfying Geometric Conservation Law to Large Eddy Simulation on Curvilinear Grids

Published online by Cambridge University Press:  29 May 2015

Yi Jiang ,
Meiliang Mao ,
Xiaogang Deng  and
Huayong Liu
Yi Jiang*
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, China Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, China
Meiliang Mao
Affiliation:
Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, China
Xiaogang Deng
Affiliation:
National University of Defense Technology, Changsha 410073, China
Huayong Liu
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang 621000, China
*
*Corresponding author. Email: [email protected] (Y. Jiang)
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Abstract

Seventh-order hybrid cell-edge and cell-node dissipative compact scheme (HDCS-E8T7) is extended to a new implicit large eddy simulation named HILES on stretched and curvilinear meshes. Although the conception of HILES is similar to that of monotone integrated LES (MILES), i.e., truncation error of the discretization scheme itself is employed to model the effects of unresolved scales, HDCS-E8T7 is a new high-order finite difference scheme, which can eliminate the surface conservation law (SCL) errors and has inherent dissipation. The capability of HILES is tested by solving several benchmark cases. In the case of flow past a circular cylinder, the solutions of HILES fulfilling the SCL have good agreement with the corresponding experiment data, however, the flowfield is gradually contaminated when the SCL error is enlarged. With the help of fulling the SCL, ability of HILES for handling complex geometry has been enhanced. The numerical solutions of flow over delta wing demonstrate the potential of HILES in simulating turbulent flow on complex configuration.

Keywords

76Fxx76GxxImplicit large eddy simulationhigh-order hybrid cell-edge and cell-node dissipative compact scheme (HDCS)geometric conservation law (GCL)complex geometry
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 4 , August 2015 , pp. 407 - 429
Copyright
Copyright © Global-Science Press 2015 

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