On the use of flux limiters in the discrete ordinates method for 3D radiation calculations in absorbing and scattering media

DOI10.1016/j.jcp.2009.12.037zbMath1187.65143OpenAlexW2075876514WikidataQ57708335 ScholiaQ57708335MaRDI QIDQ964250

Paul E. DesJardin, William F. Godoy

Publication date: 15 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.12.037

zbMATH Keywords

stabilityconvergencenumerical examplesflux limitersparallel computationdiscrete ordinates methodradiative transfer equationTVD schemesradiation heat transferNewton-Krylov GMRESnon-homogeneous 3D media

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Related Items (6)

A bounded upwinding scheme for computing convection-dominated transport problems ⋮ Deterministic radiative transfer equation solver on unstructured tetrahedral meshes: efficient assembly and preconditioning ⋮ Preconditioned Krylov subspace methods for solving radiative transfer problems with scattering and reflection ⋮ Parallel Jacobian-free Newton Krylov solution of the discrete ordinates method with flux limiters for 3D radiative transfer ⋮ Adaptive hierarchic transformations for dynamically p-enriched slope-limiting over discontinuous Galerkin systems of generalized equations ⋮ GPU accelerated simulations of 3D deterministic particle transport using discrete ordinates method

Uses Software

• LAPACK
• BLAS
• MPI
• MPJ Express
• MTJ

Cites Work

• Modeling the 3-D radiation of anisotropically scattering media by two different numerical methods
• High resolution schemes for hyperbolic conservation laws
• On the solution of the time-dependent inertial-frame equation of radiative transfer in moving media to O(v/c)
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Bounded skew high-order resolution schemes for the discrete ordinates method
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Numerical solution of the Boltzmann transport equation
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Optimum Positive Linear Schemes for Advection in Two and Three Dimensions
• Basic Linear Algebra Subprograms for Fortran Usage
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