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A gas‐kinetic scheme for the simulation of turbulent flows on unstructured meshes
Author(s) -
Pan Dongxin,
Zhong Chengwen,
Li Ji,
Zhuo Congshan
Publication year - 2016
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4239
Subject(s) - polygon mesh , turbulence , transonic , finite volume method , airfoil , computational fluid dynamics , turbulence kinetic energy , unstructured grid , mesh generation , naca airfoil , turbulence modeling , compressible flow , computer science , mechanics , physics , compressibility , mathematics , geometry , aerodynamics , finite element method , reynolds number , thermodynamics
Summary This paper presents a numerical method for simulating turbulent flows via coupling the Boltzmann BGK equation with Spalart–Allmaras one equation turbulence model. Both the Boltzmann BGK equation and the turbulence model equation are carried out using the finite volume method on unstructured meshes, which is different from previous works on structured grid. The application of the gas‐kinetic scheme is extended to the simulation of turbulent flows with arbitrary geometries. The adaptive mesh refinement technique is also adopted to reduce the computational cost and improve the efficiency of meshes. To organize the unstructured mesh data structure efficiently, a non‐manifold hybrid mesh data structure is extended for polygonal cells. Numerical experiments are performed on incompressible flow over a smooth flat plate and compressible turbulent flows around a NACA 0012 airfoil using unstructured hybrid meshes. These numerical results are found to be in good agreement with experimental data and/or other numerical solutions, demonstrating the applicability of the proposed method to simulate both subsonic and transonic turbulent flows. Copyright © 2016 John Wiley & Sons, Ltd.