A dynamical pseudo-spectral domain decomposition technique: Application to viscous compressible flows
type: Item
instance of: scholarly article
title: A dynamical pseudo-spectral domain decomposition technique: Application to viscous compressible flows
zbMATH Open document ID: 0873.76065
author: François Renaud
author: Serge Gauthier
published in: Journal of Computational Physics
publication date: 1997-10-29T00:00:00Z
review text: The authors present a dynamical spectral domain decomposition method based on transformation of coordinates that depends on one parameter in each subdomain. Both the mapping parametes and the location of interfaces are dynamically adapted by minimizing the norm of the calculated solution. Using the minimum norm that determines the best location of the interface, a dynamical generation of Chebyshev collocation points can be found. This method is applied to partial differential equations, and both the overall accuracy and the matching at the interfaces are improved with respect to a fixed interface calculation. Finally, the algorithm is used for numerical solution of the time-dependent compressible Navier-Stokes equations in two dimensions. Matching of the density is performed by a simple upwind procedure, whereas velocity, temperature and concentration are handled with the influence matrix method. Numerical examples include Kelvin-Helmholtz and Rayleigh-Taylor flows.
reviewed by: Adrian Carabineanu
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 992120
zbMATH Keywords: Kelvin-Helmholtz flow
zbMATH Keywords: Rayleigh-Taylor flow
zbMATH Keywords: location of interfaces
zbMATH Keywords: transformation of coordinates
zbMATH Keywords: subdomain
zbMATH Keywords: mapping parametes
zbMATH Keywords: Chebyshev collocation points
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: upwind procedure
zbMATH Keywords: influence matrix method
MaRDI profile type: Publication
full work available at URL: jcph.1996.5576
OpenAlex ID: W1998431759
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DOI: 10.1006/JCPH.1996.5576
description: scientific article; zbMATH DE number 992120