The Non-Classical Boltzmann Equation, and Diffusion-Based Approximations to the Boltzmann Equation
SIAM JOURNAL ON APPLIED MATHEMATICS(2015)
摘要
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 errors-no truncation errors.
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关键词
Boltzmann equation,diffusion approximation,nonclassical transport,Monte Carlo
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