University of Illinois Urbana-Champaign

Monte Carlo modelling of the Boltzmann transport equation via phase space triangulation

Sie, Emerson

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https://hdl.handle.net/2142/104035

Description

Title
Monte Carlo modelling of the Boltzmann transport equation via phase space triangulation
Author(s)
Sie, Emerson
Contributor(s)
Ravaioli, Umberto
Issue Date
2019-05
Keyword(s)
Boltzmann transport equation, Monte Carlo, Phonon
Abstract
The Boltzmann transport equation (BTE) is the governing equation for nonequilibrium particle transport and has been used to analyze a wide class of particle transport phenomena ranging from rarefied gas and plasma flows to electron-phonon transport in semiconductor substrates. Although there is no known full analytic solution to the BTE in the general case, approximations to the solution of the BTE can be obtained by numerical Monte Carlo simulations which have since become state-of-the-art. In this thesis, a unified method of modeling the BTE using the aforementioned Monte Carlo method is proposed in which the phase space of the problem is discretized using Delaunay triangulations. We then verify the scheme and demonstrate its computational tractability by simulating phonon transport in bulk silicon using anisotropic dispersion relation and scattering time data obtained from molecular dynamics simulations
Type of Resource
text
Language
en
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http://hdl.handle.net/2142/104035

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