Stability and multiscale analysis of an advective lattice Boltzmann scheme
type: Item
instance of: scholarly article
title: Stability and multiscale analysis of an advective lattice Boltzmann scheme
zbMATH Open document ID: 1138.76054
DOI: 10.1504/PCFD.2008.018079
author: Martin Rheinländer
published in: Progress in Computational Fluid Dynamics
publication date: 2008-06-16T00:00:00Z
review text: Summary: We consider a two-population lattice Boltzmann algorithm to approximate the advection equation. First, the stability of this model algorithm is examined. The analysis is based on the analytic computation of the spectrum pertaining to the evolution matrix. After proving a necessary stability condition, the stability of the evolution matrix is shown, which is related to CFL condition. We use the model algorithm to demonstrate that formal stability criteria based on a multiscale expansion may fail to predict instability.
Mathematics Subject Classification ID: 76M28
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 5288557
zbMATH Keywords: spectrum
zbMATH Keywords: CFL condition
zbMATH Keywords: multiscale expansion
MaRDI profile type: Publication
full work available at URL: pcfd.2008.018079
OpenAlex ID: W2124184558
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description: scientific article; zbMATH DE number 5288557