High-order solution methods for grey discrete ordinates thermal radiative transfer

DOI10.1016/j.jcp.2016.09.055zbMath1422.65262OpenAlexW2525369527MaRDI QIDQ1674525

Jean C. Ragusa, Jim E. Morel, Peter G. Maginot

Publication date: 25 October 2017

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.09.055

zbMATH Keywords

Runge-Kuttadiscrete ordinatesdiscontinuous finite element methodthermal radiation transport

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (7)

A multiple-relaxation-time lattice Boltzmann model for radiative transfer equation ⋮ A quadratic programming flux correction method for high-order DG discretizations of \(S_N\) transport ⋮ An asymptotic-preserving IMEX method for nonlinear radiative transfer equation ⋮ High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations ⋮ Unified gas-kinetic particle method for frequency-dependent radiation transport ⋮ Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration ⋮ Lumping Techniques for Mixed Finite Element Diffusion Discretizations

Cites Work

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• Studies on the accuracy of time-integration methods for the radiation-diffusion equations
• Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion
• Embedded SDIRK-methods of basic order three
• Local error control in SDIRK-methods
• A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
• Spatial discretizations for self-adjoint forms of the radiative transfer equations
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s

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