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

DOI10.1137/18M1167024zbMath1426.65137OpenAlexW2914179110WikidataQ128438442 ScholiaQ128438442MaRDI QIDQ4623135

Yunlong Yu, Xingding Chen, Guang-Wei Yuan

Publication date: 19 February 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1167024

zbMATH Keywords

discrete maximum principlefinite volume schemeexistence of a solutionradiation diffusion equation with three-temperature

Mathematics Subject Classification ID

Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (13)

Algorithm of radiation hydrodynamics with nonorthogonal mesh for 3D implosion problem ⋮ A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics ⋮ Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems ⋮ A nonlinear convex combination in the construction of finite volume scheme satisfying maximum principle ⋮ A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes ⋮ An extremum‐preserving finite volume scheme for three‐temperature radiation diffusion equations ⋮ Arbitrary-order monotonic finite-volume schemes for 1D elliptic problems ⋮ The cell-centered positivity-preserving finite volume scheme for 3D anisotropic diffusion problems on distorted meshes ⋮ A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations ⋮ Unnamed Item ⋮ A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes ⋮ An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes ⋮ A positivity-preserving finite volume scheme for three-temperature radiation diffusion equations

Uses Software

• TRHD

Cites Work

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• Unnamed Item
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