Title: Preconditioned Navier-Stokes schemes from the generalised lattice Boltzmann equation

Authors: Salvador Izquierdo, Norberto Fueyo

Addresses: Fluid Mechanics Group (University of Zaragoza) and LITEC (CSIC), Maria de Luna 3, 50018, Zaragoza, Spain. ' Fluid Mechanics Group (University of Zaragoza) and LITEC (CSIC), Maria de Luna 3, 50018, Zaragoza, Spain

Abstract: 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.

Keywords: Lattice Boltzmann equation; preconditioning; multi-relaxation times; convergence acceleration; steady state; condition number; Lattice Boltzmann method; preconditioned Navier-Stokes equations; CFD; computational fluid dynamics; simulation; steady flows.

DOI: 10.1504/PCFD.2008.018089

Progress in Computational Fluid Dynamics, An International Journal, 2008 Vol.8 No.1/2/3/4, pp.189 - 196

Published online: 30 Apr 2008 *

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