Variational multiscale turbulence modelling in a high order spectral element method

Authors:
Carl Erik Wasberg;Thor Gjesdal;Bjørn Anders Pettersson Reif;Øyvind Andreassen
Affiliations:
Norwegian Defence Research Establishment (FFI), P.O. Box 25, NO-2027 Kjeller, Norway;Norwegian Defence Research Establishment (FFI), P.O. Box 25, NO-2027 Kjeller, Norway;Norwegian Defence Research Establishment (FFI), P.O. Box 25, NO-2027 Kjeller, Norway;Norwegian Defence Research Establishment (FFI), P.O. Box 25, NO-2027 Kjeller, Norway
Venue:
Journal of Computational Physics
Year:
2009

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Abstract

In the variational multiscale (VMS) approach to large eddy simulation (LES), the governing equations are projected onto an a priori scale partitioning of the solution space. This gives an alternative framework for designing and analyzing turbulence models. We describe the implementation of the VMS LES methodology in a high order spectral element method with a nodal basis, and discuss the properties of the proposed scale partitioning. The spectral element code is first validated by doing a direct numerical simulation of fully developed plane channel flow. The performance of the turbulence model is then assessed by several coarse grid simulations of channel flow at different Reynolds numbers.