A gas‐kinetic scheme for the simulation of turbulent flows on unstructured meshes. (5th May 2016)

• Record Type: Journal Article
• Authors: Pan, Dongxin; Zhong, Chengwen; Li, Ji; Zhuo, Congshan
• Is Part Of: International journal for numerical methods in fluids. Volume 82:Number 11(2016)
• Page Start: 748
• Page End: 769
• Publication Date: 2016-05-05
• Subjects: gas‐kinetic scheme -- unstructured mesh -- Spalart–Allmaras turbulence model -- adaptive mesh refinement -- non‐manifold hybrid mesh data -- finite volume; Fluid dynamics -- Mathematics -- Periodicals; 532
• DOI: 10.1002/fld.4239
• Languages: English
• ISSNs: 0271-2091

Abstract

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. Abstract : Coupling gas‐kinetic scheme with Spalart–Allmaras turbulence model, a finite volume method is introduced for the solution of turbulent flow. To organize the unstructured mesh data structure efficiently, a non‐manifold hybrid mesh data structure is extended for polygonal cells. The adaptive mesh refinement technique is also adopted to reduce computational cost and improve the efficiency of meshes. Numerical experiments are performed on incompressible flow over a smooth flat plate and compressible turbulent flow around a NACA 0012 airfoil.