Pseudo-Spectral Methods for LES of Complex Flows

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The purpose of the present project is the development, analysis, and application of a flexible pseudo-spectral method allowing LES with high accuracy and efficiency for complex practical turbulent flow problems. The project work will include the joint implementation of a corresponding pseudo-spectral code involving adequate dynamic subgrid models and advanced numerical techniques for the discretization and solution of the governing model equations. Special emphasis will be given to validation and verification aspects as well as a quality assurance with respect to numerical accuracy and efficiency. This will include investigations of basic question regarding the interaction of LES subgrid scale models with spectral discretizations. For comparisons results from other projects within the Research Group as well as results of direct numerical simulations for basic cases of complex flows inside generic geometries will be considered.