A Nonlinear Hyperbolic Model for Radiative Transfer Equation in Slab Geometry-Reference-Cited by-同舟云学术

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A Nonlinear Hyperbolic Model for Radiative Transfer Equation in Slab Geometry

Published:2020-01 Issue:6 Volume:80 Page:2388-2419
ISSN:0036-1399
Container-title:SIAM Journal on Applied Mathematics
language:en
Short-container-title:SIAM J. Appl. Math.

Author:

Fan Yuwei,Li Ruo,Zheng Lingchao

Funder

Science Challenge Project

National Natural Science Foundation of China

National Science Foundation

U.S. Department of Energy

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics

Link

https://epubs.siam.org/doi/pdf/10.1137/19M126774X

Reference43 articles.

1. A comment on the computation of non-conservative products

2. Approximating the $M_2$ method by the extended quadrature method of moments for radiative transfer in slab geometry

3. Study of rarefied shear flow by the discrete velocity method

4. One-dimensional Riemann solvers and the maximum entropy closure

5. Two-dimensional time dependent Riemann solvers for neutron transport

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1. Nonrelativistic limit of the Euler‐HMP_N approximation models arising in radiation hydrodynamics;Mathematical Methods in the Applied Sciences;2023-05-02

2. Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures;Multiscale Modeling & Simulation;2023-04-25

3. Machine Learning Moment Closure Models for the Radiative Transfer Equation III: Enforcing Hyperbolicity and Physical Characteristic Speeds;Journal of Scientific Computing;2022-11-23

4. Hyperbolic Quadrature Method of Moments for the One-Dimensional Kinetic Equation;SIAM Journal on Applied Mathematics;2022-04

5. Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure;Journal of Computational Physics;2022-03

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