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

DOI10.1016/j.apnum.2020.01.013zbMath1440.65112OpenAlexW3002339633WikidataQ126316167 ScholiaQ126316167MaRDI QIDQ2301421

Xinlong Feng, Zhiming Gao, Gang Peng, Wen-Jing Yan

Publication date: 24 February 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.01.013

zbMATH Keywords

finite volume schemepositivity-preservingdistorted meshesthree-temperature radiation diffusion equations

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Complexity and performance of numerical algorithms (65Y20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19) Radiative heat transfer (80A21)

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Uses Software

• TRHD

Cites Work

• TRHD: Three-temperature radiation-hydrodynamics code with an implicit non-equilibrium radiation transport using a cell-centered monotonic finite volume scheme on unstructured-grids
• A small stencil and extremum-preserving scheme for anisotropic diffusion problems on arbitrary 2D and 3D meshes
• Interpolation-based second-order monotone finite volume schemes for anisotropic diffusion equations on general grids
• Anderson acceleration and application to the three-temperature energy equations
• Some new discretization and adaptation and multigrid methods for 2-D 3-T diffusion equations
• On choosing a nonlinear initial iterate for solving the 2-D 3-T heat conduction equations
• Combining node-centered parallel radiation transport and higher-order multi-material cell-centered hydrodynamics methods in three-temperature radiation hydrodynamics code TRHD
• Vertex-centered linearity-preserving schemes for nonlinear parabolic problems on polygonal grids
• Operator-based preconditioning for the 2-D 3-T energy equations in radiation hydrodynamics simulations
• A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
• Existence of solution of a finite volume scheme preserving maximum principle for diffusion equations
• A Finite Volume Scheme Preserving Maximum Principle for the System of Radiation Diffusion Equations with Three-Temperature
• Parallel adaptive multigrid algorithm for 2-d 3-t diffusion equations
• Substructuring Preconditioners with a Simple Coarse Space for 2-D 3-T Radiation Diffusion Equations
• A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
• Finite Volume Element Methods for Two-Dimensional Three-Temperature Radiation Diffusion Equations

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