Solving the discrete S-model kinetic equations with arbitrary order polynomial approximations

Bond, D. M., Wheatley, V., Macrossan, M. N. and Goldsworthy, M. (2014) Solving the discrete S-model kinetic equations with arbitrary order polynomial approximations. Journal of Computational Physics, 259 175-198. doi:10.1016/j.jcp.2013.11.026


Author Bond, D. M.
Wheatley, V.
Macrossan, M. N.
Goldsworthy, M.
Title Solving the discrete S-model kinetic equations with arbitrary order polynomial approximations
Journal name Journal of Computational Physics   Check publisher's open access policy
ISSN 0021-9991
1090-2716
Publication date 2014-02-15
Year available 2013
Sub-type Article (original research)
DOI 10.1016/j.jcp.2013.11.026
Volume 259
Start page 175
End page 198
Total pages 24
Place of publication Maryland Heights, MO, United States
Publisher Academic Press
Collection year 2014
Language eng
Subject 1706 Computer Science Applications
3101 Physics and Astronomy (miscellaneous)
Abstract A numerical method for solving the model Boltzmann equation using arbitrary order polynomials is presented. The S-model is solved by a discrete ordinate method with velocity space discretized with a truncated Hermite polynomial expansion. Physical space is discretized according to the Conservative Flux Approximation scheme with extension to allow non-uniform grid spacing. This approach, which utilizes Legendre polynomials, allows the spatial representation and flux calculation to be of arbitrary order. High order boundary conditions are implemented. Various results are shown to demonstrate the utility and limitations of the method with comparison to solutions of the Euler and Navier-Stokes equations and from the Direct Simulation Monte Carlo and Unified Gas Kinetic schemes. The effect of both the velocity space discretization and Knudsen number on the convergence properties of the scheme are also investigated.
Keyword Boltzmann
High order
Rarefied gas
S-model
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Available online: 1 December 2013.

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mechanical & Mining Engineering Publications
Official 2014 Collection
 
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