Nonlinear and linear \(\alpha\)-weighted methods for particle transport problems

DOI10.1006/JCPH.2001.6905zbMath0991.65152OpenAlexW1999494271MaRDI QIDQ5956032

Dmitriy Y. Anistratov, Edward W. Larsen

Publication date: 19 February 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2001.6905

zbMATH Keywords

stabilityconvergencenumerical resultsradiative transferdifference methodsacceleration methodslinear Boltzmann transport equationneutron transport

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Nuclear reactor theory; neutron transport (82D75)

Related Items (8)

Nonlinear iterative projection methods with multigrid in photon frequency for thermal radiative transfer ⋮ Diffusion Limit of a Small Mean Free Path of Radiative Transfer Equations with Absorbing Boundary Condition ⋮ Diffusion Limit of Small Mean Free Path of Transfer Equation in ⋮ Nonlinear Weighted Flux Methods for Particle Transport Problems ⋮ A fast algorithm for radiative transport in isotropic media ⋮ Radiative Transfer in Two Adjoining Media: The Continuity of Thermal Flux and the Existence and Uniqueness of Solutions ⋮ Multilevel quasidiffusion method with mixed-order time discretization for multigroup thermal radiative transfer problems ⋮ Stability Analysis of the Quasidiffusion Method on Periodic Heterogeneous 1D Transport Problems

Cites Work

• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
• Nonlinear methods for solving particle transport problems
• The Quasi-Diffusion method for solving transport problems in planar and spherical geometries
• Stability analysis of the quasideffusion and second moment methods for iteratively solving discrete-ordinates problems
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