Preconditioned Navier-Stokes schemes from the generalised lattice Boltzmann equation
type: Item
instance of: scholarly article
title: Preconditioned Navier-Stokes schemes from the generalised lattice Boltzmann equation
zbMATH Open document ID: 1388.76296
DOI: 10.1504/PCFD.2008.018089
author: Salvador Izquierdo
author: Norberto Fueyo
published in: Progress in Computational Fluid Dynamics
publication date: 2008-06-16T00:00:00Z
review text: Summary: Preconditioning of Navier-Stokes equations is a widely used technique to speed up Computational Fluid Dynamics simulations of steady flows. In this work a systematic study is performed of time-derivative preconditioners of Navier-Stokes equations that can be derived from the generalised lattice Boltzmann equation. In this way, lattice Boltzmann models equivalent to preconditioned Navier-Stokes systems are constructed, and it becomes possible to take advantage of the knowledge generated in this field to improve the convergence to steady state of lattice-Boltzmann flow-calculations. Two different preconditioners are obtained, which are analysed according to their condition numbers and compared with typical Navier-Stokes preconditioners.
Mathematics Subject Classification ID: 76M28
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 5288568
zbMATH Keywords: lattice Boltzmann
zbMATH Keywords: preconditioning
zbMATH Keywords: multi-relaxation times
zbMATH Keywords: acceleration of convergence
zbMATH Keywords: steady state
zbMATH Keywords: condition number
MaRDI profile type: Publication
full work available at URL: pcfd.2008.018089
OpenAlex ID: W2045562715
description: scientific article; zbMATH DE number 5288568