High-order positivity-preserving simple corner balance scheme for the radiative transfer equations

Mapping Intimacies ◽

10.1063/5.0032633 ◽

2020 ◽

Author(s):

Rong Yang ◽

Guangwei Yuan

Keyword(s):

Radiative Transfer ◽

High Order ◽

Positivity Preserving ◽

Transfer Equations ◽

Radiative Transfer Equations

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High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2019.07.010 ◽

2019 ◽

Vol 397 ◽

pp. 108811

Author(s):

Min Zhang ◽

Juan Cheng ◽

Jianxian Qiu

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

High Order ◽

Triangular Meshes ◽

Positivity Preserving ◽

Transfer Equations ◽

Radiative Transfer Equations

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High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations

SIAM Journal on Scientific Computing ◽

10.1137/16m1061072 ◽

2016 ◽

Vol 38 (5) ◽

pp. A2987-A3019 ◽

Cited By ~ 9

Author(s):

Daming Yuan ◽

Juan Cheng ◽

Chi-Wang Shu

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Galerkin Methods ◽

Positivity Preserving ◽

Transfer Equations ◽

Radiative Transfer Equations

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Corrigendum to “High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes” [J. Comput. Phys. 397 (2019) 108811]

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109250 ◽

2020 ◽

Vol 406 ◽

pp. 109250

Author(s):

Min Zhang ◽

Juan Cheng ◽

Jianxian Qiu

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

High Order ◽

Triangular Meshes ◽

Positivity Preserving ◽

Comput Phys ◽

Transfer Equations ◽

Radiative Transfer Equations

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Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations

Journal of Scientific Computing ◽

10.1007/s10915-018-0700-3 ◽

2018 ◽

Vol 77 (3) ◽

pp. 1801-1831 ◽

Cited By ~ 1

Author(s):

Dan Ling ◽

Juan Cheng ◽

Chi-Wang Shu

Keyword(s):

Radiative Transfer ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Galerkin Methods ◽

Positivity Preserving ◽

Transfer Equations ◽

Radiative Transfer Equations

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Residual Monte Carlo high-order solver for Moment-Based Accelerated Thermal Radiative Transfer equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.07.039 ◽

2014 ◽

Vol 276 ◽

pp. 405-421 ◽

Cited By ~ 5

Author(s):

Jeffrey Willert ◽

H. Park

Keyword(s):

Monte Carlo ◽

Radiative Transfer ◽

High Order ◽

Transfer Equations ◽

Thermal Radiative Transfer ◽

Radiative Transfer Equations

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An improved unified gas kinetic particle method for radiative transfer equations

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/j.jqsrt.2020.107428 ◽

2020 ◽

pp. 107428

Author(s):

Yi Shi ◽

Wenjun Sun ◽

Lingxiao Li ◽

Peng Song

Keyword(s):

Radiative Transfer ◽

Particle Method ◽

Transfer Equations ◽

Radiative Transfer Equations

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A relation between the schrödinger and radiative transfer equations

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/0022-4073(92)90070-k ◽

1992 ◽

Vol 47 (2) ◽

pp. 121-126 ◽

Cited By ~ 1

Author(s):

J.F. Geurdes

Keyword(s):

Radiative Transfer ◽

Transfer Equations ◽

Radiative Transfer Equations

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Solution of the radiative-transfer equations with an azimuth-averaged Hanle phase matrix

Astronomy Reports ◽

10.1134/s1063772910090076 ◽

2010 ◽

Vol 54 (9) ◽

pp. 832-839

Author(s):

D. N. Rachkovskii

Keyword(s):

Radiative Transfer ◽

Transfer Equations ◽

Radiative Transfer Equations

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Principle of the random walk method for radiative transfer equations and application

Monte-Carlo Methods and Applications in Neutronics, Photonics and Statistical Physics - Lecture Notes in Physics ◽

10.1007/bfb0049038 ◽

2006 ◽

pp. 93-105

Author(s):

J. Giorla ◽

R. Sentis

Keyword(s):

Random Walk ◽

Radiative Transfer ◽

Random Walk Method ◽

Transfer Equations ◽

Radiative Transfer Equations

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Diffusion Limit of 1-D Small Mean Free Path of Radiative Transfer Equations in Bounded Domain

Journal of Partial Differential Equations ◽

10.4208/jpde.v31.n2.4 ◽

2018 ◽

Vol 31 (2) ◽

pp. 177-192

Author(s):

Chen Xiao and Wang Shu

Keyword(s):

Radiative Transfer ◽

Free Path ◽

Bounded Domain ◽

Mean Free Path ◽

Diffusion Limit ◽

Transfer Equations ◽

Radiative Transfer Equations

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