American Institute of Mathematical Sciences

March  2011, 4(1): 139-151. doi: 10.3934/krm.2011.4.139

A numerical model of the Boltzmann equation related to the discontinuous Galerkin method

 1 Dipartimento di Matematica e Informatica, Viale A. Doria 6, 95125 Catania, Italy

Received  September 2010 Revised  December 2010 Published  January 2011

We propose a new deterministic numerical model, based on the discontinuous Galerkin method, for solving the nonlinear Boltzmann equation for rarefied gases. A set of partial differential equations is derived and analyzed. The new model guarantees the conservation of the mass, momentum and energy for homogeneous solutions. We avoid any stochastic procedures in the treatment of the collision operator of the Boltzmamn equation.
Citation: Armando Majorana. A numerical model of the Boltzmann equation related to the discontinuous Galerkin method. Kinetic & Related Models, 2011, 4 (1) : 139-151. doi: 10.3934/krm.2011.4.139
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