Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes

Advances in Computational Mathematics ◽

10.1007/s10444-020-09748-4 ◽

2020 ◽

Vol 46 (2) ◽

Author(s):

Qiannan Dong ◽

Shuai Su ◽

Jiming Wu

Keyword(s):

Positivity Preserving ◽

Polygonal Meshes ◽

Diffusion Problems

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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 metamorphic positivity-preserving conservative formulation applied to the solution of general anisotropic diffusion problems in distorted 2-D grids

10.1063/5.0026583 ◽

2020 ◽

Author(s):

Emerson W. D. Magalhães ◽

Márcio R. A. Souza ◽

Igor F. Gomes

Keyword(s):

Anisotropic Diffusion ◽

Positivity Preserving ◽

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 nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110729 ◽

2021 ◽

pp. 110729

Author(s):

Shuai Miao ◽

Wu Jiming

Keyword(s):

Anisotropic Diffusion ◽

Nonlinear Correction ◽

Polygonal Meshes ◽

Correction Scheme ◽

Diffusion Problems

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High-order mimetic finite difference method for diffusion problems on polygonal meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2008.06.028 ◽

2008 ◽

Vol 227 (20) ◽

pp. 8841-8854 ◽

Author(s):

Vitaliy Gyrya ◽

Konstantin Lipnikov

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Polygonal Meshes ◽

Mimetic Finite Difference Method ◽

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 pyramid scheme for anisotropic diffusion problems on general hexahedral meshes with nonplanar cell faces

Journal of Computational Physics ◽

10.1016/j.jcp.2018.05.026 ◽

2018 ◽

Vol 371 ◽

pp. 152-167 ◽

Author(s):

Shuai Wang ◽

Xudeng Hang ◽

Guangwei Yuan

Keyword(s):

Anisotropic Diffusion ◽

Positivity Preserving ◽

Pyramid Scheme ◽

Hexahedral Meshes ◽

Diffusion Problems

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A vertex-centered linearity-preserving discretization of diffusion problems on polygonal meshes

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4178 ◽

2015 ◽

Vol 81 (3) ◽

pp. 131-150 ◽

Author(s):

Jiming Wu ◽

Zhiming Gao ◽

Zihuan Dai

Keyword(s):

Polygonal Meshes ◽

Diffusion Problems

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A least squares based diamond scheme for anisotropic diffusion problems on polygonal meshes

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.5031 ◽

2021 ◽

Author(s):

Cheng Dong ◽

Tong Kang

Keyword(s):

Least Squares ◽

Anisotropic Diffusion ◽

Polygonal Meshes ◽

Diffusion Problems

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A Decoupled and Positivity-Preserving DDFVS cheme for Diffusion Problems on Polyhedral Meshes

Communications in Computational Physics ◽

10.4208/cicp.oa-2018-0292 ◽

2020 ◽

Vol 27 (5) ◽

pp. 1378-1412

Author(s):

Qiannan Dong

Keyword(s):

Positivity Preserving ◽

Polyhedral Meshes ◽

Diffusion Problems

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