Inviscid Flow on Moving Grids with Multiscale Space and Time Adaptivity

Philipp Lamby (), Ralf Massjung (), Siegfried Müller () and Youssef Stiriba ()
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Philipp Lamby: RWTH Aachen, Institut für Geometrie und Praktische Mathematik
Ralf Massjung: RWTH Aachen, Institut für Geometrie und Praktische Mathematik
Siegfried Müller: RWTH Aachen, Institut für Geometrie und Praktische Mathematik
Youssef Stiriba: Departament Enginyeria Mecànica, Universitat “Rovira i Virgili” - ETSEQ

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 831-839 from Springer

Abstract: Abstract A fully adaptive multiscale finite volume scheme for solving the 2D compressible Euler equations on moving grids is presented. The scheme uses a multiscale analysis based on biorthogonal wavelets to adapt the grid in space. Refinement in time is performed using a locally varying time stepping strategy that has been recently developed. The CFL condition is satisfied locally and the number of grid adaptations is reduced. The performance of the scheme using global and local multilevel time stepping, respectively, is investigated by a flow past an oscillating boundary.

Keywords: Time Step Size; Arbitrary Lagrangian Eulerian; Volume Scheme; Inviscid Flow; Biorthogonal Wavelet (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/978-3-540-34288-5_82

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