@Article{CiCP-7-639,
author = {Manuel Torrilhon},
title = {Hyperbolic Moment Equations in Kinetic Gas Theory Based on Multi-Variate Pearson-IV-Distributions},
journal = {Communications in Computational Physics},
year = {2010},
volume = {7},
number = {4},
pages = {639--673},
abstract = {<p style="text-align: justify;">In this paper we develop a new closure theory for moment approximations
in kinetic gas theory and derive hyperbolic moment equations for 13 fluid variables
including stress and heat flux. Classical equations have either restricted hyperbolicity
regions like Grad&#39;s moment equations or fail to include higher moments in a
practical way like the entropy maximization approach. The new closure is based on
Pearson-Type-IV distributions which reduce to Maxwellians in equilibrium, but allow
anisotropies and skewness in non-equilibrium. The closure relations are essentially
explicit and easy to evaluate. Hyperbolicity is shown numerically for a large range of
values. Numerical solutions of Riemann problems demonstrate the capability of the
new equations to handle strong non-equilibrium.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2009.09.049},
url = {http://global-sci.org/intro/article_detail/cicp/7648.html}
}