A multilevel adaptive multiscale finite volume method for steady compressible flows

Conference paper (2006)
Copyright: © 2006 Müller, S.; Stiriba, Y.
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Published Date

08-09-2006

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Abstract

An implicit multilevel finite volume solver on adaptively refined quadtree meshes is presented for the solution of steady state flow problems. The nonlinear problem arising from the implicit time discretization is solved by an adaptive FAS multigrid method. Local grid adaptation is performed by means of a multiscale-based strategy. For this purpose data of the flow field are decomposed in coarse grid information and a sequence of detail coefficients that describe the difference between two refinement levels and reveal insight in the local regularity behavior of the solution. Here wavelet techniques are employed for the multiscale analysis. The key idea of the present work is to use the transfer operators of the multiscale analysis for the prolongation and restriction operator in the FAS cycle. The efficiency of the solver is investigated by means of an inviscid 2D flow over a bump.

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