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Large Eddy Simulation of Heat Transfer in Boundary Layer and Backstep Flow Using PANS

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.250
pages 216-227

Lars Davidson
Division of Thermo and Fluid Dynamics, Department of Applied Mechanics, Department of Mechanical Engineering, Chalmers University of Technology, Hörsalvagen 7b, SE41296 Göteborg, Sweden

Resumo

Developing boundary layer flow and the flow over a backward-facing step are studied here. The LRN PANS k−ε [1] and the WALE turbulence model [2] are used as SGS models. The PANS (Partially Averaged- Navier-Stokes) modelling approach [3, 4] is a modified k−ε model that can operate in both RANS and LES mode. An extension of PANS based on a four-equation k−ε−ζ−f model was recently proposed [5]. Synthetic, anisotropic, turbulent fluctuations are prescribed at the inlet to trigger the momentum equations into turbulenceresolving mode. The effect of the amplitude of the synthetic fluctuations is investigated. Different values of fk are used. Two different discretization approaches are compared: 100% central differencing (CDS) or 95% CDS and 5% van Leer second-order bounded upwinding scheme. One 2D RANS simulation using the k−ω SST model is made for the backstep flow. A detailed comparison is made between 2D RANS and PANS including an analysis of the balancing terms in the momentum and temperature equations.

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