Numerical simulation of compressible turbulent flow via improved gas‐kinetic BGK scheme

S Xiong, C Zhong, C Zhuo, K Li… - … journal for numerical …, 2011 - Wiley Online Library
S Xiong, C Zhong, C Zhuo, K Li, X Chen, J Cao
International journal for numerical methods in fluids, 2011Wiley Online Library
In order to solve compressible turbulent flow problems, this study focuses on incorporating
the Spalart–Allmaras turbulence model into gas‐kinetic BGK (Bhatnagar–Gross–Krook)
scheme. The Spalart–Allmaras turbulence model is solved using finite difference
discretization. The variables on the cell interface are interpolated via the van Leer limiter in
the reconstruction stage. Simulation of subsonic and transonic flow over a NACA0012 airfoil
has been implemented using two‐dimensional body‐fitted grids. The numerical results …
Abstract
In order to solve compressible turbulent flow problems, this study focuses on incorporating the Spalart–Allmaras turbulence model into gas‐kinetic BGK (Bhatnagar–Gross–Krook) scheme. The Spalart–Allmaras turbulence model is solved using finite difference discretization. The variables on the cell interface are interpolated via the van Leer limiter in the reconstruction stage. Simulation of subsonic and transonic flow over a NACA0012 airfoil has been implemented using two‐dimensional body‐fitted grids. The numerical results obtained appear in good agreement with the AGARD results, demonstrating the effectiveness and usefulness of the strategy of coupling the Spalart–Allmaras turbulence model with the BGK scheme for compressible turbulent flow simulation. Copyright © 2010 John Wiley & Sons, Ltd.
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