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

Armando Majorana | Zendy

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

Author(s) -

Armando Majorana

Publication year - 2011

Publication title -

kinetic and related models

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.987

H-Index - 28

eISSN - 1937-5093

pISSN - 1937-5077

DOI - 10.3934/krm.2011.4.139

Subject(s) - boltzmann equation , partial differential equation , discontinuous galerkin method , conservation of mass , collision , mathematics , momentum (technical analysis) , operator (biology) , boltzmann constant , galerkin method , nonlinear system , direct simulation monte carlo , physics , mathematical analysis , computer science , mechanics , finite element method , repressor , chemistry , biochemistry , thermodynamics , finance , dynamic monte carlo method , monte carlo method , statistics , computer security , quantum mechanics , transcription factor , economics , gene

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.

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