On Application of EARSM Turbulence Model for Simulation of Flow Field behind Rack Station

¹ CTU Prague, Faculty of Mechanical Engineering, Department of Technical Mathematics, Prague, Czech Republic
² CTU Prague, Faculty of Mechanical Engineering, Department of Fluid Mechanics and Thermodynamics, Prague, Czech Republic

^a e-mail: betakv@seznam.cz

Abstract

This paper is interested in the mathematical modeling and approximation of the turbulent flow with strong anisotropy for the case of flow in a rack station. Turbulent models based on Boussinesq eddy viscosity assumption are traditionally employed for the solution of these types of flows. Linear eddy viscosity model and the assumption of isotropic Reynolds stress tensor are typically used in many cases. This leads to certain limitations in the cases of either separated flow or flow with significant curvature of the mean flow. The application of full Reynolds stress model is suitable for this case but it introduces at least seven additional equations and the model has much higher demand for computing time, grid parameters and discretization schemes. Therefore the Explicit Algebraic Reynolds Stress Model (EARSM) is used here. This model is based on two equations k – omega turbulence model with the nonlinear eddy viscosity model and explicit terms for anisotropic parts of the Reynolds stress tensor. The computational requirements are similar to the standard k – omega model. The numerical and experimental results from PIV measurement are compared.