Exact Transport Representations of the Classical and Nonclassical Simplified PN Equations

DOI10.1080/23324309.2018.1496938OpenAlexW2898260226MaRDI QIDQ5029228

R. N. Slaybaugh, I. Makine, Richard Vasques

Publication date: 11 February 2022

Published in: Journal of Computational and Theoretical Transport (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23324309.2018.1496938

zbMATH Keywords

diffusion equationMonte Carlo methodtransport equationnonclassical transport

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (4)

A Reciprocal Formulation of Nonexponential Radiative Transfer. 2: Monte Carlo Estimation and Diffusion Approximation ⋮ On the application of the analytical discrete ordinates method to the solution of nonclassical transport problems in slab geometry ⋮ Transport synthetic acceleration for the solution of the one-speed nonclassical spectral \(S_N\) equations in slab geometry ⋮ Multi-\textbf{hp} adaptive discontinuous Galerkin methods for simplified \(P_{N}\) approximations of 3D radiative transfer in non-gray media

Cites Work

• The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation
• Rigorous Asymptotic and Moment-Preserving Diffusion Approximations for Generalized Linear Boltzmann Transport in Arbitrary Dimension
• Theoretical Aspects of the SimplifiedP_nEquations
• The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation

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