A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation

Journal of Scientific Computing ◽

10.1007/s10915-021-01629-2 ◽

2021 ◽

Vol 89 (3) ◽

Author(s):

Hui Xie ◽

Xuejun Xu ◽

Chuanlei Zhai ◽

Heng Yong

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Anisotropic Diffusion ◽

Least Square ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

Anisotropic Diffusion Equation

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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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The cell-centered positivity-preserving finite volume scheme for 3D anisotropic diffusion problems on distorted meshes

Computer Physics Communications ◽

10.1016/j.cpc.2021.108099 ◽

2021 ◽

pp. 108099

Author(s):

Gang Peng ◽

Zhiming Gao ◽

Wenjing Yan ◽

Xinlong Feng

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

Diffusion Problems

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A positivity-preserving finite volume scheme for convection-diffusion equation on general meshes

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1910943 ◽

2021 ◽

pp. 1-22

Author(s):

Gang Peng

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Volume Scheme ◽

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A novel cell-centered finite volume scheme with positivity-preserving property for the anisotropic diffusion problems on general polyhedral meshes

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106252 ◽

2020 ◽

Vol 104 ◽

pp. 106252

Author(s):

Gang Peng ◽

Zhiming Gao ◽

Xinlong Feng

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Finite Volume Scheme ◽

Positivity Preserving ◽

Volume Scheme ◽

Polyhedral Meshes ◽

Diffusion Problems

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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 Fourth-Order Compact Finite Volume Scheme for the Convection-Diffusion Equation

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 ◽

10.1007/978-3-319-01601-6_10 ◽

2013 ◽

pp. 135-144 ◽

Author(s):

Christine Baur ◽

Michael Schäfer

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Fourth Order ◽

Finite Volume Scheme ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

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Very high‐order accurate finite volume scheme for the convection‐diffusion equation with general boundary conditions on arbitrary curved boundaries

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5953 ◽

2018 ◽

Vol 117 (2) ◽

pp. 188-220 ◽

Author(s):

Ricardo Costa ◽

João M. Nóbrega ◽

Stéphane Clain ◽

Gaspar J. Machado ◽

Raphaël Loubère

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Finite Volume ◽

Finite Volume Scheme ◽

General Boundary Conditions ◽

Curved Boundaries ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Volume Scheme ◽

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A new positive finite volume scheme for two-dimensional convection-diffusion equation

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201800067 ◽

2018 ◽

Vol 99 (2) ◽

pp. e201800067 ◽

Author(s):

Bin Lan ◽

Zhiqiang Sheng ◽

Guangwei Yuan

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Finite Volume Scheme ◽

Two Dimensional ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

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A High-Order-Accurate Unstructured Mesh Finite-Volume Scheme for the Advection–Diffusion Equation

Journal of Computational Physics ◽

10.1006/jcph.2002.7159 ◽

2002 ◽

Vol 181 (2) ◽

pp. 729-752 ◽

Author(s):

Carl Ollivier-Gooch ◽

Michael Van Altena

Keyword(s):

Diffusion Equation ◽

Finite Volume ◽

Unstructured Mesh ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Advection Diffusion Equation ◽

Advection 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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