The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation
نویسندگان
چکیده
منابع مشابه
The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation
Abstract. We show that several diffusion-based approximations (classical diffusion or SP1, SP2, SP3) to the linear Boltzmann equation can (for an infinite, homogeneous medium) be represented exactly by a nonclassical transport equation. As a consequence, we indicate a method to solve these diffusion-based approximations to the Boltzmann equation via Monte Carlo methods, with only statistical er...
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Xiaoyi He1,2,* and Li-Shi Luo Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 Complex Systems Group T-13, MS-B213, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 ICASE, MS 403, NASA Langley Research Center, 6 North Dryden Street, Building 1298, Hampton, Virginia 23681-0001 ~Received 29 April 1997; revised ma...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2015
ISSN: 0036-1399,1095-712X
DOI: 10.1137/140999451