@Article{CiCP-18-3,
author = {},
title = {Convergence Study of Moment Approximations for Boundary Value Problems of the Boltzmann-BGK Equation},
journal = {Communications in Computational Physics},
year = {2015},
volume = {18},
number = {3},
pages = {529--557},
abstract = {<p style="text-align: justify;">The accuracy of moment equations as approximations of kinetic gas theory
is studied for four different boundary value problems. The kinetic setting is given by
the BGK equation linearized around a globally constant Maxwellian using one space
dimension and a three-dimensional velocity space. The boundary value problems include
Couette and Poiseuille flow as well as heat conduction between walls and heat
conduction based on a locally varying heating source. The polynomial expansion of
the distribution function allows for different moment theories of which two popular
families are investigated in detail. Furthermore, optimal approximations for a given
number of variables are studied empirically. The paper focuses on approximations
with relatively low number of variables which allows to draw conclusions in particular
about specific moment theories like the regularized 13-moment equations.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.061013.160215a},
url = {https://global-sci.com/article/80331/convergence-study-of-moment-approximations-for-boundary-value-problems-of-the-boltzmann-bgk-equation}
}