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Preprint-No.: <   332   >   Published in: November 2011   PDF-File: IGPM332_k.pdf
Title:Adaptive Multiresolution Finite Volume Discretization of the Variational Multiscale Method. General Framework.
Authors:Wolfgang Dahmen, Thomas Gotzen, Siegfried Müller and Roland Schäfer
In order to investigate turbulent phenomena in compressible flows the Variational Multi- scale method is used. This method is usually applied to incompressible flows. In a first step, we derive the VMS method for the compressible Navier-Stokes equations. The resulting weak formulation of the flow equations is split into resolved and unresolved scales using multiresolution techniques based on biorthogonal wavelets. Since the in principle infinite-dimensional subspace of fluctuations is also discretized, it needs to be stabilized by additional dissipative terms. The compressible VMS method is then incor- porated into an adaptive multiresolution finite volume solver, where grid adaptation is also performed by means of the multiresolution analysis.
Keywords:Variational Multiscale Method, multiscale analysis, biorthogonal wavelets, finite volume scheme
Publication:General Framework, Sonderforschungsbereich / Transregio ...
Annual Report 40, (2010)