Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds

DOI10.1002/mma.2733zbMath1276.65053OpenAlexW2015571238MaRDI QIDQ2857942

Martin Frank, Christophe Berthon, Rodolphe Turpault, Kai Krycki

Publication date: 19 November 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2733

zbMATH Keywords

radiative transferasymptotic preserving schemesnon-classical transport

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Boltzmann equations (35Q20) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (4)

Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling ⋮ A spectral approach for solving the nonclassical transport equation ⋮ Transport synthetic acceleration for the solution of the one-speed nonclassical spectral \(S_N\) equations in slab geometry ⋮ Stabilized mixed finite element method for the \(M_1\) radiation model

Uses Software

• HLLE

Cites Work

• On a generalized Boltzmann equation for non-classical particle transport
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• Moment closure hierarchies for kinetic theories.
• Asymptotic-preserving and well-balanced schemes for radiative transfer and the Rosseland approximation
• An asymptotic preserving scheme for hydrodynamics radiative transfer models. Numerics for radiative transfer
• An HLLC scheme to solve the \(M_{1}\) model of radiative transfer in two space dimensions
• Time asymptotic high order schemes for dissipative BGK hyperbolic systems
• Information Theory and Statistical Mechanics
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate Method
• Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations

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