Year: 2013
Communications in Computational Physics, Vol. 14 (2013), Iss. 1 : pp. 242–264
Abstract
An accurate and direct algorithm for solving the semiclassical Boltzmann equation with relaxation time approximation in phase space is presented for parallel treatment of rarefied gas flows of particles of three statistics. The discrete ordinate method is first applied to discretize the velocity space of the distribution function to render a set of scalar conservation laws with source term. The high order weighted essentially non-oscillatory scheme is then implemented to capture the time evolution of the discretized velocity distribution function in physical space and time. The method is developed for two space dimensions and implemented on gas particles that obey the Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics. Computational examples in one- and two-dimensional initial value problems of rarefied gas flows are presented and the results indicating good resolution of the main flow features can be achieved. Flows of wide range of relaxation times and Knudsen numbers covering different flow regimes are computed to validate the robustness of the method. The recovery of quantum statistics to the classical limit is also tested for small fugacity values.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.290112.030812a
Communications in Computational Physics, Vol. 14 (2013), Iss. 1 : pp. 242–264
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
-
Comparison of Solution Methods for some Classical Flow Problems in Rarified Gas Dynamics
Njoseh, Ignatius N.
Musa, Alex
Journal of Applied Mathematics and Physics, Vol. 01 (2013), Iss. 03 P.28
https://doi.org/10.4236/jamp.2013.13006 [Citations: 0]