A multilevel finite volume method with multiscale-based grid adaptation for steady compressible flows

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:227

Article

Mueller, Siegfried²  Stiriba, Youssef¹ 

[1] Univ Rovira & Virgili, ETSEQ DEM, Tarragona 43007, Spain

[2] Univ Technol RWTH Aachen, Inst Geometrie & Prakt Math, D-52056 Aachen, Germany

关键词: Finite volume method;    Multiresolution analysis;    Grid adaptation;    Steady state computations;   

DOI  :  10.1016/j.cam.2008.03.035

来源: Elsevier

【 摘 要 】

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 ail 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 into coarse grid information and a sequence of detail coefficients that describe the difference between two refinement levels and reveal insight into 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 ill the FAS cycle. The efficiency of the solver is investigated by means of an inviscid 2D now over a bump. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free