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An Improved Second-Order Finite-Volume Algorithm for Detached-Eddy Simulation Based on Hybrid Grids

Part of: Numerical analysis: Ordinary differential equations Turbulence Basic methods in fluid mechanics

Published online by Cambridge University Press:  21 July 2016

Yang Zhang ,
Laiping Zhang ,
Xin He  and
Xiaogang Deng
Yang Zhang*
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang Sichuan 621000, China Low Speed Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang Sichuan 621000, China
Laiping Zhang*
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang Sichuan 621000, China Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang Sichuan 621000, China
Xin He*
Affiliation:
State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang Sichuan 621000, China Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang Sichuan 621000, China
Xiaogang Deng*
Affiliation:
National University of Defense Technology, Changsha Hunan 410073, China
*
*Corresponding author. Email addresses:zhangy29v@sina.com (Y. Zhang), zhanglp_cardc@126.com (L. Zhang), fantasy_2003_@hotmail.com (X. He), xgdeng2000@vip.sina.com (X. Deng)
*Corresponding author. Email addresses:zhangy29v@sina.com (Y. Zhang), zhanglp_cardc@126.com (L. Zhang), fantasy_2003_@hotmail.com (X. He), xgdeng2000@vip.sina.com (X. Deng)
*Corresponding author. Email addresses:zhangy29v@sina.com (Y. Zhang), zhanglp_cardc@126.com (L. Zhang), fantasy_2003_@hotmail.com (X. He), xgdeng2000@vip.sina.com (X. Deng)
*Corresponding author. Email addresses:zhangy29v@sina.com (Y. Zhang), zhanglp_cardc@126.com (L. Zhang), fantasy_2003_@hotmail.com (X. He), xgdeng2000@vip.sina.com (X. Deng)
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Abstract

A hybrid grid based second-order finite volume algorithm has been developed for Detached-Eddy Simulation (DES) of turbulent flows. To alleviate the effect caused by the numerical dissipation of the commonly used second order upwind schemes in implementing DES with unstructured computational fluid dynamics (CFD) algorithms, an improved second-order hybrid scheme is established through modifying the dissipation term of the standard Roe's flux-difference splitting scheme and the numerical dissipation of the scheme can be self-adapted according to the DES flow field information. By Fourier analysis, the dissipative and dispersive features of the new scheme are discussed. To validate the numerical method, DES formulations based on the two most popular background turbulence models, namely, the one equation Spalart-Allmaras (SA) turbulence model and the two equation k–ω Shear Stress Transport model (SST), have been calibrated and tested with three typical numerical examples (decay of isotropic turbulence, NACA0021 airfoil at 60° incidence and 65° swept delta wing). Computational results indicate that the issue of numerical dissipation in implementing DES can be alleviated with the hybrid scheme, the resolution for turbulence structures is significantly improved and the corresponding solutions match the experimental data better. The results demonstrate the potentiality of the present DES solver for complex geometries.

Keywords

Detached-Eddy simulationsecond order schemeself-adaptive dissipationhybrid gridfinite-volume method

MSC classification

Secondary: 76F99: None of the above, but in this section 76M12: Finite volume methods 65L80: Methods for differential-algebraic equations
Type
Research Article
Information
Communications in Computational Physics , Volume 20 , Issue 2 , August 2016 , pp. 459 - 485
Copyright
Copyright © Global-Science Press 2016 

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