Multiscale Methods for the Simulation of Turbulent Flows

In this paper we apply the finite difference method on adaptive sparse grids [9] to the simulation of turbulent flows. This method combines the flexibility and efficiency of finite difference schemes with the advantages of an adaptive approximation by tensor product multiscale bases. We shortly discuss the method. Then, we present numerical results for a simple linear convection problem for a validation of our scheme. Finally, results for three-dimensional turbulent shear layers are shown.

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