A new deviational asymptotic preserving Monte Carlo method for the homogeneous Boltzmann equation
نویسندگان
چکیده
منابع مشابه
An asymptotic-preserving Monte Carlo method for the Boltzmann equation
In this work, we propose an asymptotic-preserving Monte Carlo method for the Boltzmann equation that is more efficient than the currently available Monte Carlo methods in the fluid dynamic regime. This method is based on the successive penalty method [25], which is an improved BGK-penalization method originally proposed by Filbet-Jin [9]. Here we propose the Monte-Carlo implementation of the me...
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Article history: Received 16 June 2015 Received in revised form 2 November 2015 Accepted 3 November 2015 Available online 11 November 2015
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1 The Boltzmann equation 6 1.1 The model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Physical properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3 Fluid limit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.4 Boundary conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.5 Other collis...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2020
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2020.v18.n8.a10