Preconditioned Navier-Stokes schemes from the generalised lattice Boltzmann equation Online publication date: Wed, 30-Apr-2008
by Salvador Izquierdo, Norberto Fueyo
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 8, No. 1/2/3/4, 2008
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.
Online publication date: Wed, 30-Apr-2008
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