An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

Communications in Computational Physics ◽

10.4208/cicp.oa-2020-0088 ◽

2021 ◽

Vol 30 (2) ◽

pp. 448-485

Author(s):

Shuai Su

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Polygonal Meshes ◽

Radiation Diffusion ◽

Volume Scheme ◽

Temperature Radiation

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A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0121 ◽

2020 ◽

Vol 13 (1) ◽

pp. 220-252

Author(s):

global sci

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Two Dimensional ◽

Positivity Preserving ◽

Polygonal Meshes ◽

Radiation Diffusion ◽

Volume Scheme ◽

Temperature Radiation

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A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.01.013 ◽

2020 ◽

Vol 152 ◽

pp. 125-140 ◽

Author(s):

Gang Peng ◽

Zhiming Gao ◽

Wenjing Yan ◽

Xinlong Feng

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Radiation Diffusion ◽

Volume Scheme ◽

Temperature Radiation

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An extremum‐preserving finite volume scheme for three‐temperature radiation diffusion equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.8058 ◽

2022 ◽

Author(s):

Gang Peng ◽

Zhiming Gao ◽

Xinlong Feng

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Radiation Diffusion ◽

Volume Scheme ◽

Temperature Radiation

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A decoupled and positivity-preserving discrete duality finite volume scheme for anisotropic diffusion problems on general polygonal meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2018.06.052 ◽

2018 ◽

Vol 372 ◽

pp. 773-798 ◽

Author(s):

Shuai Su ◽

Qiannan Dong ◽

Jiming Wu

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Polygonal Meshes ◽

Volume Scheme ◽

Diffusion Problems

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A Finite Volume Scheme Preserving Maximum Principle for the System of Radiation Diffusion Equations with Three-Temperature

SIAM Journal on Scientific Computing ◽

10.1137/18m1167024 ◽

2019 ◽

Vol 41 (1) ◽

pp. B93-B113 ◽

Author(s):

Yunlong Yu ◽

Xingding Chen ◽

Guangwei Yuan

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Radiation Diffusion ◽

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A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes

SIAM Journal on Scientific Computing ◽

10.1137/140972470 ◽

2015 ◽

Vol 37 (1) ◽

pp. A420-A438 ◽

Author(s):

Zhiming Gao ◽

Jiming Wu

Keyword(s):

Finite Volume ◽

Second Order ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

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A finite volume scheme preserving extremum principle for convection-diffusion equations on polygonal meshes

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4366 ◽

2017 ◽

Vol 84 (10) ◽

pp. 616-632 ◽

Author(s):

Qi Zhang ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Finite Volume ◽

Extremum Principle ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Polygonal Meshes ◽

Convection Diffusion ◽

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The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2010.12.037 ◽

2011 ◽

Vol 230 (7) ◽

pp. 2588-2604 ◽

Author(s):

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Finite Volume ◽

Extremum Principle ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

Polygonal Meshes ◽

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A new nonlinear finite volume scheme preserving positivity for diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.053 ◽

2016 ◽

Vol 315 ◽

pp. 182-193 ◽

Author(s):

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Scheme ◽

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A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113785 ◽

2022 ◽

Vol 402 ◽

pp. 113785

Author(s):

Jiangfu Wang ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Maximum Principle ◽

Finite Volume ◽

Diffusion Equations ◽

Discrete Maximum Principle ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Discontinuous Diffusion

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