Volume 9, Issue 5
Asymptotic Analysis of Lattice Boltzmann Outflow Treatments

Michael Junk and Zhaoxia Yang

10.4208/cicp.091009.290910s

Commun. Comput. Phys., 9 (2011), pp. 1117-1127.

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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 out- flow algorithms formulated directly in terms of the lattice Boltzmann variables, like the extrapolation method, to find the induced outflow conditions in terms of the NavierStokes 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.

  • History

Published online: 2011-05

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