Asymptotic Analysis of Lattice Boltzmann Outflow Treatments

Asymptotic Analysis of Lattice Boltzmann Outflow Treatments

Year:    2011

Communications in Computational Physics, Vol. 9 (2011), Iss. 5 : pp. 1117–1127

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.091009.290910s

Communications in Computational Physics, Vol. 9 (2011), Iss. 5 : pp. 1117–1127

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords: