Abstract
The work deals with the numerical simulation of 3D turbulent flow over backward facing step in a narrow channel. The mathematical model is based on the RANS equations with an explicit algebraic Reynolds stress model (EARSM). The numerical method uses implicit finite volume upwind discretization. While the eddy viscosity models fail in predicting complex 3D flows, the EARSM model is shown to provide results which agree well with experimental PIV data. The reference experimental data provide the 3D flow field. The simulations are compared with experiment for 3 values of Reynolds number.
Highlights
The numerical simulation of 3D turbulent flows in applications requires a high degree of modelling the turbulence in the framework of averaged Navier-Stokes equations
The authors published results [3] of the streamline upwind/pressure stabilizing Petrov-Galerkin (SUPG/PSPG) finite element methods (FEM) applied to 2D backward facing step flows and compared results with present finite volume method
The more general constitutive relation has been proposed by Wallin and Johansson [7] in the form of the explicit algebraic Reynolds stress model (EARSM), where
Summary
The numerical simulation of 3D turbulent flows in applications requires a high degree of modelling the turbulence in the framework of averaged Navier-Stokes equations. The class of explicit algebraic Reynolds stress (EARSM) models gives promising results at a cost not much higher than that of eddy-viscosity model. Along with this more accurate mathematical model, similar degree of accuracy is required from numerical approximations. The authors published results [3] of the streamline upwind/pressure stabilizing Petrov-Galerkin (SUPG/PSPG) FEM applied to 2D backward facing step flows and compared results with present finite volume method. The finite volume method is applied to 3D simulation of turbulent flow over perpendicular backward facing step where the PIV experimental data were kindly provided by their authors Uruba and Jonas [4,5]. The published simulation extends the older results presented earlier [3]
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