Parallel Jacobian-free Newton Krylov solution of the discrete ordinates method with flux limiters for 3D radiative transfer

DOI10.1016/j.jcp.2012.02.010zbMath1259.78048OpenAlexW2019015866WikidataQ57708329 ScholiaQ57708329MaRDI QIDQ447597

Xu Liu, William F. Godoy

Publication date: 4 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.02.010

zbMATH Keywords

finite volume methoddomain decompositionflux limitersparallel computationelectromagnetic radiationmessage passing interface (MPI)discrete ordinates method (DOM)generalised minimal residual (GMRES)Gram-Schmidt orthogonalisationHouseholder orthogonalisationJacobian-free Newton-Krylov method (JFNK)radiative transfer equation (RTE)scattering mediumthreads

Mathematics Subject Classification ID

Related Items (8)

Deterministic radiative transfer equation solver on unstructured tetrahedral meshes: efficient assembly and preconditioning ⋮ General Expressions for Auxiliary Equations of a Nodal Formulation for Two-Dimensional Transport Calculations ⋮ A parallel Jacobian-free Newton-Krylov solver for a coupled sea ice-ocean model ⋮ Implementation of Newton's method with an analytical Jacobian to solve the 1D sea ice momentum equation ⋮ A new spherical harmonics scheme for multi-dimensional radiation transport. I: Static matter configurations ⋮ A finite element method for angular discretization of the radiation transport equation on spherical geodesic grids ⋮ Fast algorithms for integral formulations of steady-state radiative transfer equation ⋮ A fast algorithm for radiative transport in isotropic media

Uses Software

• LAPACK
• NITSOL
• BLAS
• MPI
• Oracle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution of the equation of radiative transfer using a Newton-Krylov approach and adaptive mesh refinement
• Fast unsteady flow computations with a Jacobian-free Newton-Krylov algorithm
• Development of a 2-D algorithm to simulate convection and phase transition efficiently
• On the use of flux limiters in the discrete ordinates method for 3D radiation calculations in absorbing and scattering media
• Improving the numerical convergence of viscous-plastic sea ice models with the Jacobian-free Newton-Krylov method
• A Jacobian-free Newton-Krylov algorithm for compressible turbulent fluid flows
• On physics-based preconditioning of the Navier-Stokes equations
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration
• The application of Jacobian-free Newton-Krylov methods to reduce the spin-up time of ocean general circulation models
• Numerical solution of the Boltzmann transport equation
• A preconditioned Krylov technique for global hydrodynamic stability analysis of large-scale compressible flows
• Implementation of the GMRES Method Using Householder Transformations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Basic Linear Algebra Subprograms for Fortran Usage
• Convergence Theory of Nonlinear Newton–Krylov Algorithms
• NITSOL: A Newton Iterative Solver for Nonlinear Systems

This page was built for publication: Parallel Jacobian-free Newton Krylov solution of the discrete ordinates method with flux limiters for 3D radiative transfer