TY - JOUR
T1 - Asymptotic Analysis of Lattice Boltzmann Outflow Treatments
AU - Michael Junk & Zhaoxia Yang
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 - <p style="text-align: justify;">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.</p>