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Hierarchic multigrid iteration strategy for the discontinuous Galerkin solution of the steady Euler equations

✍ Scribed by Koen Hillewaert; Nicolas Chevaugeon; Philippe Geuzaine; Jean-François Remacle

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
716 KB
Volume
51
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

We study the efficient use of the discontinuous Galerkin finite element method for the computation of steady solutions of the Euler equations. In particular, we look into a few methods to enhance computational efficiency. In this context we discuss the applicability of two algorithmical simplifications that decrease the computation time associated to quadrature. A simplified version of the quadrature free implementation applicable to general equations of state, and a simplified curved boundary treatment are investigated. We as well investigate two efficient iteration techniques, namely the classical Newton–Krylov method used in computational fluid dynamics codes, and a variant of the multigrid method which uses interpolation orders rather than coarser tesselations to define the auxiliary coarser levels. Copyright © 2005 John Wiley & Sons, Ltd.

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✍ NIKOS G. PANTELELIS; ANDREAS E. KANARACHOS 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 1006 KB

A method capable of solving very fast and robust complex non-linear systems of equations is presented. The block adaptive multigrid @AM) method combines mesh adaptive techniques w i t h multigrid and domain decomposition methods. The overall method is based on the FAS multigrid, but instead of using