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

Michael Junk & Zhaoxia Yang

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

Published online: 2011-05

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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.

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@Article{CiCP-9-1117, author = {}, title = {Asymptotic Analysis of Lattice Boltzmann Outflow Treatments}, journal = {Communications in Computational Physics}, year = {2011}, volume = {9}, number = {5}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.091009.290910s}, url = {http://global-sci.org/intro/article_detail/cicp/7540.html} }
TY - JOUR T1 - Asymptotic Analysis of Lattice Boltzmann Outflow Treatments JO - Communications in Computational Physics VL - 5 SP - 1117 EP - 1127 PY - 2011 DA - 2011/05 SN - 9 DO - http://doi.org/10.4208/cicp.091009.290910s UR - https://global-sci.org/intro/article_detail/cicp/7540.html KW - AB -

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.

Michael Junk & Zhaoxia Yang. (2020). Asymptotic Analysis of Lattice Boltzmann Outflow Treatments. Communications in Computational Physics. 9 (5). 1117-1127. doi:10.4208/cicp.091009.290910s
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