Preconditioned Navier-Stokes schemes from the generalised lattice Boltzmann equation

Author: Izquierdo Salvador   Fueyo Norberto  

Publisher: Inderscience Publishers

ISSN: 1468-4349

Source: Progress in Computational Fluid Dynamics, An International Journal, Vol.8, Iss.1-4, 2008-04, pp. : 189-196

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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.