A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer

DOI10.1137/19M1239829zbMath1434.80015OpenAlexW3015879368MaRDI QIDQ4960449

Laurent Gosse, Nicolas Vauchelet

Publication date: 16 April 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1239829

zbMATH Keywords

\(S\)-matrixasymptotic-preservingdiffusive scalingfour-stream approximationgrey radiative transfer

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Radiative transfer in astronomy and astrophysics (85A25) Radiative heat transfer (80A21)

Related Items (5)

Diffusive limits of 2D well-balanced schemes for kinetic models of neutron transport ⋮ Numerical Scheme for Kinetic Transport Equation with Internal State ⋮ \(\mathscr{L}\)-splines as diffusive limits of dissipative kinetic models ⋮ Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis ⋮ Diffusive Limit of a Two-Dimensional Well-Balanced Scheme for the Free Klein--Kramers Equation

Cites Work

• Unnamed Item
• The structure of well-balanced schemes for Friedrichs systems with linear relaxation
• Numerical study of a domain decomposition method for a two-scale linear transport equation
• Diffusive limit for finite velocity Boltzmann kinetic models
• An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
• Some examples of kinetic schemes whose diffusion limit is Il'in's exponential-fitting
• Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport
• A well-balanced and asymptotic-preserving scheme for the one-dimensional linear Dirac equation
• Harmonic solutions of transport equations
• Mean values and differential equations
• Two-dimensional time dependent Riemann solvers for neutron transport
• Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes
• Total-Variation-Diminishing Time Discretizations
• The Exponential Radon Transform
• Fundamental solutions for the anisotropic neutron transport equation
• Boundary layers and domain decomposition for radiative heat transfer and diffusion equations: applications to glass manufacturing process
• Coupling of transport and diffusion models in linear transport theory
• A Truly Two-Dimensional Discretization of Drift-Diffusion Equations on Cartesian Grids
• Exact Solutions of Discrete Kinetic Models and Stationary Problems for the Plane Broadwell Model
• Computing Qualitatively Correct Approximations of Balance Laws
• Redheffer Products and Numerical Approximation of Currents in One-Dimensional Semiconductor Kinetic Models
• A Mean Value Property of Elliptic Equations with Constant Coefficients
• Fundamental systems of numerical schemes for linear convection-diffusion equations and their relationship to accuracy

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