A deterministic numerical model for the nonlinear Boltzmann equation
arXiv:1011.4454
Abstract
We propose a new deterministic numerical scheme, based on the discontinuous Galerkin method, for solving the Boltzamnn equation for rarefied gases. The new scheme guarantees the conservation of the mass, momentum and energy. We avoid any stochastic procedures in the treatment of the collision operator of the Boltzmamn equation.
Conference: Partial differential equations in kinetic theories: kinetic description of biological models. Nov 8, 2010 - Nov 12, 2010 Edinburgh (UK) The second version differs from the first only in the MSC class data