A Spherical Harmonic Discontinuous Galerkin Method for Radiative Transfer Equations with Vacuum Boundary Conditions

Qiwei Sheng; Cheng Wang

doi:10.1007/s10915-021-01530-y

A Spherical Harmonic Discontinuous Galerkin Method for Radiative Transfer Equations with Vacuum Boundary Conditions

Journal of Scientific Computing ◽

10.1007/s10915-021-01530-y ◽

2021 ◽

Vol 88 (1) ◽

Author(s):

Qiwei Sheng ◽

Cheng Wang

Keyword(s):

Radiative Transfer ◽

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Spherical Harmonic ◽

Transfer Equations ◽

Radiative Transfer Equations

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Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering

Mathematics of Computation ◽

10.1090/mcom/3670 ◽

2021 ◽

pp. 1

Author(s):

Qiwei Sheng ◽

Cory D. Hauck

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Uniform Convergence ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Isotropic Scattering ◽

Discrete Ordinate ◽

Transfer Equations ◽

Radiative Transfer Equations

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A discontinuous Galerkin method with Lagrange multiplier for hyperbolic conservation laws with boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.05.003 ◽

2015 ◽

Vol 70 (4) ◽

pp. 488-506 ◽

Cited By ~ 4

Author(s):

Mi-Young Kim

Keyword(s):

Boundary Conditions ◽

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Lagrange Multiplier ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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A Parallel Space-angle Discontinuous Galerkin Method for Radiative Transfer in Two-dimensional Rectangular Enclosures

2020 IEEE USNC-CNC-URSI North American Radio Science Meeting (Joint with AP-S Symposium) ◽

10.23919/usnc/ursi49741.2020.9321637 ◽

2020 ◽

Author(s):

H. Wang ◽

R. Abedi ◽

S. Mudaliar

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensional ◽

Space Angle

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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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Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions

Applications of Mathematics ◽

10.1007/s10492-010-0012-x ◽

2010 ◽

Vol 55 (5) ◽

pp. 353-372 ◽

Cited By ~ 6

Author(s):

Oto Havle ◽

Vít Dolejší ◽

Miloslav Feistauer

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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A Discrete Analysis of Non-reflecting Boundary Conditions for Discontinuous Galerkin Method

9th AIAA/CEAS Aeroacoustics Conference and Exhibit ◽

10.2514/6.2003-3301 ◽

2003 ◽

Cited By ~ 4

Author(s):

Fang Hu ◽

Harold Atkins

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Discrete Analysis

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Efficient Radiative Transfer Equation Solver Using the Discontinuous Galerkin Method and the GPU

10th AIAA/ASME Joint Thermophysics and Heat Transfer Conference ◽

10.2514/6.2010-4316 ◽

2010 ◽

Author(s):

Xing He ◽

Rohit Jain ◽

Ramakanth Munipalli ◽

Laurent Pilon ◽

Ann Karagozian

Keyword(s):

Radiative Transfer ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Transfer Equation ◽

Radiative Transfer Equation

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Two-dimensional Wave Analysis of the Discontinuous Galerkin Method with Non-Uniform Grids and Boundary Conditions

8th AIAA/CEAS Aeroacoustics Conference & Exhibit ◽

10.2514/6.2002-2514 ◽

2002 ◽

Cited By ~ 10

Author(s):

Fang Hu ◽

Harold Atkins

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensional ◽

Wave Analysis ◽

Uniform Grids ◽

Dimensional Wave

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Waves at a fluid-solid interface: Explicit versus implicit formulation of boundary conditions using a discontinuous Galerkin method

The Journal of the Acoustical Society of America ◽

10.1121/10.0001170 ◽

2020 ◽

Vol 147 (5) ◽

pp. 3136-3150

Author(s):

Khemraj Shukla ◽

José M. Carcione ◽

Jan S. Hesthaven ◽

Elizabeth L'heureux

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Solid Interface

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High-order radiation boundary conditions for time-domain electromagnetics using an unstructured discontinuous Galerkin method

Computational Fluid and Solid Mechanics 2003 ◽

10.1016/b978-008044046-0.50333-x ◽

2003 ◽

pp. 1358-1363 ◽

Cited By ~ 1

Author(s):

T. Hagstrom ◽

T. Warburton

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Domain ◽

High Order ◽

Radiation Boundary Conditions ◽

Time Domain Electromagnetics ◽

Radiation Boundary

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