Robust numerical schemes for anisotropic diffusion problems, a first step for turbulence modeling in Lagrangian hydrodynamics

ESAIM Proceedings ◽

10.1051/proc/2009040 ◽

2009 ◽

Vol 28 ◽

pp. 80-99

Author(s):

Julien Dambrine ◽

Philippe Hoch ◽

Raphaël Kuate ◽

Jérôme Lohéac ◽

Jérôme Métral ◽

...

Keyword(s):

Anisotropic Diffusion ◽

Turbulence Modeling ◽

Numerical Schemes ◽

Lagrangian Hydrodynamics ◽

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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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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The cell functional minimization scheme for the anisotropic diffusion problems on arbitrary polygonal grids

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2014030 ◽

2015 ◽

Vol 49 (1) ◽

pp. 193-220 ◽

Author(s):

Li Yin ◽

Jiming Wu ◽

Zhiming Gao

Keyword(s):

Anisotropic Diffusion ◽

Functional Minimization ◽

Minimization Scheme ◽

Diffusion Problems

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Analysis of a Special $Q_1$-Finite Volume Element Scheme for Anisotropic Diffusion Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0080 ◽

2019 ◽

Vol 12 (4) ◽

pp. 1141-1167

Author(s):

global sci

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Volume Element ◽

Element Scheme ◽

Finite Volume Element ◽

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 finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109143 ◽

2020 ◽

Vol 407 ◽

pp. 109143

Author(s):

Yanni Gao ◽

Guangwei Yuan ◽

Shuai Wang ◽

Xudeng Hang

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Volume Element ◽

Element Scheme ◽

Quadrilateral Meshes ◽

Finite Volume Element ◽

Diffusion Problems

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Multilevel substructuring preconditioners for anisotropic diffusion problems on rectangular meshes

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam-2012-0032 ◽

2012 ◽

Vol 27 (6) ◽

Author(s):

Yu.A. Kuznetsov ◽

A. Prokopenko ◽

N. Yavich

Keyword(s):

Anisotropic Diffusion ◽

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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Enhancement of engine simulation using LES turbulence modeling and advanced numerical schemes

10.31274/etd-180810-693 ◽

2009 ◽

Author(s):

Yuanhong Li

Keyword(s):

Turbulence Modeling ◽

Numerical Schemes ◽

Engine Simulation

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Optimized Schwarz and finite element cell-centered method for heterogeneous anisotropic diffusion problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.01.009 ◽

2020 ◽

Vol 151 ◽

pp. 380-401

Author(s):

Thanh Hai Ong ◽

Thi-Thao-Phuong Hoang

Keyword(s):

Finite Element ◽

Anisotropic Diffusion ◽

Diffusion Problems

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