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Asymptotic Analysis of Lattice Boltzmann Outflow Treatments

Published online by Cambridge University Press:  20 August 2015

Michael Junk  and
Zhaoxia Yang
Michael Junk*
Affiliation:
FB Mathematik und Statistik, Universität Konstanz, Postfach D194, 78457 Konstanz, Germany
Zhaoxia Yang*
Affiliation:
FB Mathematik und Statistik, Universität Konstanz, Postfach D194, 78457 Konstanz, Germany
*
Email:michael.junk@uni-konstanz.de
Corresponding author.Email:zhaoxia.yang@uni-konstanz.de
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Abstract

We show the methodology and advantages of asymptotic analysis when applied to lattice Boltzmann outflow treatments. On the one hand, one can analyze outflow algorithms formulated directly in terms of the lattice Boltzmann variables, like the extrapolation method, to find the induced outflow conditions in terms of the Navier-Stokes variables. On the other hand, one can check the consistency and accuracy of lattice Boltzmann outflow treatments to given hydrodynamic outflow conditions like the Neumann or average pressure condition. As example how the gained insight can be used, we propose an improvement of the well known extrapolation method.

Keywords

65N0676D0582C40Outflow conditionasymptotic analysislattice Boltzmann method
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 5 , May 2011 , pp. 1117 - 1127
Copyright
Copyright © Global Science Press Limited 2011

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