Asymptotic diffusion limit of cell temperature discretisation schemes for thermal radiation transport

DOI10.1016/j.jcp.2013.10.038zbMath1351.80003OpenAlexW2064340614MaRDI QIDQ729132

Richard P. Smedley-Stevenson, Ryan G. McClarren

Publication date: 20 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.10.038

zbMATH Keywords

asymptotic diffusion limitlinear discontinuoussource tilting

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic analysis of the spatial discretization of radiation absorption and re-emission in implicit Monte Carlo
• A random walk procedure for improving the computational efficiency of the implicit Monte Carlo method for nonlinear radiation transport
• The effects of slope limiting on asymptotic-preserving numerical methods for hyperbolic conservation laws
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• Symbolic implicit Monte Carlo
• Comparison of implicit and symbolic implicit Monte Carlo line transport with frequency weight vector extension
• Asymptotic diffusion limit of the symbolic Monte-Carlo method for the transport equation.
• A local support-operators diffusion discretization scheme for quadrilateral \(r\)-\(z\) meshes
• Discretization on quadrilateral grids with improved monotonicity properties
• A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
• Spatial discretizations for self-adjoint forms of the radiative transfer equations
• An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
• On the H-Functions for Isotropic Scattering
• Subcell balance methods for radiative transfer on arbitrary grids

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