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A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows / Ben Evans, Ken Morgan, Oubay Hassan, Kenneth Morgan
Applied Mathematical Modelling, Volume: 35, Issue: 3, Pages: 996 - 1015
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A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows
|Published in:||Applied Mathematical Modelling|
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This paper outlines a novel numerical scheme for the solution of the BGK form of the Boltzmann kinetic equation. The work underpinning this paper won Dr Evans the Mike Crisfield Prize in Computational Mechanics in 2006 and this paper is an extension to the ACME conference paper leading to the prize. The paper demonstrates how a mathematical description of a gas at a molecular level can lead to predicting macroscopic fluid dynamics phenomena. The numerical scheme within it is now being applied to micro and nano-scale problems. The unique aspect of the scheme is that it is not restricted to continuum, i.e. low Knudsen number, flows and therefore has much wider applicability than Navier-Stokes or Euler 'continuum' solvers.
College of Engineering