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Dimension-Reduced Hyperbolic Moment Method for the Boltzmann Equation with BGK-Type Collision

Dimension-Reduced Hyperbolic Moment Method for the Boltzmann Equation with BGK-Type Collision
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Year:    2014

Communications in Computational Physics, Vol. 15 (2014), Iss. 5 : pp. 1368–1406

Abstract

We develop the dimension-reduced hyperbolic moment method for the Boltzmann equation, to improve solution efficiency using a numerical regularized moment method for problems with low-dimensional macroscopic variables and high-dimensional microscopic variables. In the present work, we deduce the globally hyperbolic moment equations for the dimension-reduced Boltzmann equation based on the Hermite expansion and a globally hyperbolic regularization. The numbers of Maxwell boundary condition required for well-posedness are studied. The numerical scheme is then developed and an improved projection algorithm between two different Hermite expansion spaces is developed. By solving several benchmark problems, we validate the method developed and demonstrate the significant efficiency improvement by dimension-reduction.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.220313.281013a

Communications in Computational Physics, Vol. 15 (2014), Iss. 5 : pp. 1368–1406

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    39

Keywords:   

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