A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer

Laurent Gosse; Nicolas Vauchelet

doi:10.1137/19m1239829

A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer

SIAM Journal on Numerical Analysis ◽

10.1137/19m1239829 ◽

2020 ◽

Vol 58 (2) ◽

pp. 1092-1116

Author(s):

Laurent Gosse ◽

Nicolas Vauchelet

Keyword(s):

Radiative Transfer ◽

Discrete Model ◽

Two Dimensional ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme

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An asymptotic preserving scheme for hydrodynamics radiative transfer models

Numerische Mathematik ◽

10.1007/s00211-007-0094-x ◽

2007 ◽

Vol 108 (2) ◽

pp. 199-221 ◽

Cited By ~ 33

Author(s):

Christophe Buet ◽

Stéphane Cordier

Keyword(s):

Radiative Transfer ◽

Asymptotic Preserving ◽

Radiative Transfer Models ◽

Asymptotic Preserving Scheme ◽

Transfer Models

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A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Shallow Water Equations Over Irregular Bottom Topography

SIAM Journal on Scientific Computing ◽

10.1137/19m1262590 ◽

2020 ◽

Vol 42 (5) ◽

pp. B1136-B1172

Author(s):

Xin Liu

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

Bottom Topography ◽

Two Dimensional ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme

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Accurate Front Capturing Asymptotic Preserving Scheme for Nonlinear Gray Radiative Transfer Equation

SIAM Journal on Scientific Computing ◽

10.1137/20m1318031 ◽

2021 ◽

Vol 43 (3) ◽

pp. B759-B783

Author(s):

Min Tang ◽

Li Wang ◽

Xiaojiang Zhang

Keyword(s):

Radiative Transfer ◽

Transfer Equation ◽

Radiative Transfer Equation ◽

Asymptotic Preserving ◽

Asymptotic Preserving Scheme

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An asymptotic preserving scheme for the two-dimensional shallow water equations with Coriolis forces

Journal of Computational Physics ◽

10.1016/j.jcp.2019.04.035 ◽

2019 ◽

Vol 391 ◽

pp. 259-279

Author(s):

Xin Liu ◽

Alina Chertock ◽

Alexander Kurganov

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

Two Dimensional ◽

Asymptotic Preserving ◽

Coriolis Forces ◽

Asymptotic Preserving Scheme

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Errata: Applying a new computational method for biological tissue optics based on the time-dependent two-dimensional radiative transfer equation

Journal of Biomedical Optics ◽

10.1117/1.jbo.17.7.079801 ◽

2012 ◽

Vol 17 (7) ◽

pp. 0798011

Author(s):

Fatmir Asllanaj ◽

Sebastien Fumeron

Keyword(s):

Radiative Transfer ◽

Biological Tissue ◽

Transfer Equation ◽

Radiative Transfer Equation ◽

Computational Method ◽

Time Dependent ◽

Tissue Optics ◽

Two Dimensional

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Radiative transfer of elastic waves versus finite difference simulations in two-dimensional random media

Journal of Geophysical Research Atmospheres ◽

10.1029/2005jb003952 ◽

2006 ◽

Vol 111 (B4) ◽

Cited By ~ 49

Author(s):

J. Przybilla ◽

M. Korn ◽

U. Wegler

Keyword(s):

Radiative Transfer ◽

Finite Difference ◽

Elastic Waves ◽

Random Media ◽

Two Dimensional

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Radiative transfer in two-dimensional anisotropic scattering media with collimated incidence

Journal of Quantitative Spectroscopy and Radiative Transfer ◽

10.1016/0022-4073(89)90086-1 ◽

1989 ◽

Vol 42 (3) ◽

pp. 225-238 ◽

Cited By ~ 58

Author(s):

Tae-Kuk Kim ◽

HaeOk Skarda Lee

Keyword(s):

Radiative Transfer ◽

Anisotropic Scattering ◽

Two Dimensional ◽

Scattering Media

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A stochastic asymptotic-preserving scheme for the bipolar semiconductor Boltzmann-Poisson system with random inputs and diffusive scalings

Journal of Computational Physics ◽

10.1016/j.jcp.2018.09.055 ◽

2019 ◽

Vol 376 ◽

pp. 634-659 ◽

Cited By ~ 2

Author(s):

Liu Liu

Keyword(s):

Poisson System ◽

Asymptotic Preserving ◽

Random Inputs ◽

Asymptotic Preserving Scheme ◽

Bipolar Semiconductor

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An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.045 ◽

2016 ◽

Vol 315 ◽

pp. 98-123 ◽

Cited By ~ 1

Author(s):

F. Blachère ◽

R. Turpault

Keyword(s):

Conservation Laws ◽

Source Term ◽

Unstructured Meshes ◽

Asymptotic Preserving ◽

Systems Of Conservation Laws ◽

Asymptotic Preserving Scheme

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A High Order Stochastic Asymptotic Preserving Scheme for Chemotaxis Kinetic Models with Random Inputs

Multiscale Modeling and Simulation ◽

10.1137/17m1150840 ◽

2018 ◽

Vol 16 (4) ◽

pp. 1884-1915

Author(s):

Shi Jin ◽

Hanqing Lu ◽

Lorenzo Pareschi

Keyword(s):

Kinetic Models ◽

High Order ◽

Asymptotic Preserving ◽

Random Inputs ◽

Asymptotic Preserving Scheme

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