Characteristic multigrid method application to solve the Euler equations with unstructured and unnested grids
type: Item
instance of: scholarly article
title: Characteristic multigrid method application to solve the Euler equations with unstructured and unnested grids
zbMATH Open document ID: 0788.65097
author: M. P. Leclercq
author: Bruno Stoufflet
published in: Journal of Computational Physics
publication date: 1993-05-16T00:00:00Z
review text: The authors treat a new multigrid method for the solution of hyperbolic systems of conservation laws combined with higher order upwind approximation. The novelty of the method lies in the introduction of an upwind transfer between two successive grids. Part 2 of the paper presents the multigrid method with general transfer operators. Part 3 studies the sensitivity of the transfer operator upwinding for accelerating an explicit multistage iterative solver on a one-dimensional linear advection equation. Fourier analysis demonstrates the superiority of introducing upwinding. In part 4 of the paper the adaption of this approach to the two-dimensional geometric multigrid method is proposed in the unstructured mesh context. Finally numerical results with the new characteristic multigrid method applied to two-dimensional Euler flow computations illustrate the extended capacities of the algorithm. It allows the computation of severe problems such as hyperbolic flows with strong detached shocks. This was not possible with the classical approach.
reviewed by: Helmut Weber
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 168633
zbMATH Keywords: multigrid method
zbMATH Keywords: hyperbolic systems of conservation laws
zbMATH Keywords: upwind transfer
zbMATH Keywords: linear advection equation
zbMATH Keywords: Euler flow computations
zbMATH Keywords: shocks
MaRDI profile type: Publication
full work available at URL: jcph.1993.1035
OpenAlex ID: W2016057793
DOI: 10.1006/JCPH.1993.1035
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description: scientific article; zbMATH DE number 168633