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POD based reconstruction of subgrid stresses for wall bounded flows using neural networks

DOI: 10.1615/ICHMT.2006.TurbulHeatMassTransf.820
pages 411-414

Christian Wollblad
Division of Fluid Dynamics, Department of Applied Mechanics, Chalmers University of Technology, Hörsalvagen 7b, SE41296 Gothenburg, Sweden

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

Abstract

A zonal hybrid method for computation of wall bounded flows was developed. Data from a direct numerical simulation of channel flow at Reynolds number 500 were filtered and the resulting subgrid stresses expanded in a series using proper orthogonal decomposition. The series was truncated. A feed forward neural network was found to be superior to linear stochastic estimation for estimating the coefficient of the series. The neural network and the orthonormal base from the expansion were shown by a priori tests to be suitable as a subgrid model for the innermost part of a boundary layer. The system was applied together with a Smagorinsky subgrid model to channel flow at Reynolds number 500 with good results. Generalization to higher Reynolds numbers is briefly discussed.

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