Semi-implicit and semidiscrete difference schemes for solving a nonstationary kinetic equation of thermal radiative transfer and energy equation

DOI10.1134/S0965542522030113OpenAlexW4224014018MaRDI QIDQ2131371

V. M. Shmakov, N. Ya. Moiseev

Publication date: 26 April 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522030113

zbMATH Keywords

splitting methoddiscrete ordinate methodkinetic equations of thermal radiative transfer and energy equations

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Difference and functional equations (39-XX)

Uses Software

• UNCMND
• pchip

Cites Work

• Semi-implicit time integration for \(P_N\) thermal radiative transfer
• Construction of optimal multidiagonal methods for solving radiation-transfer problems.
• Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations
• An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
• High-order accurate implicit running schemes
• A method of solving implicit difference equations approximating systems of radiation transport and diffusion equations
• An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
• Solution of the kinetic equations by the divergent method of characteristics
• Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes
• The application of difference schemes of high accuracy to the numerical solution of hyperbolic equations
• A quasi-diffusion method of solving the kinetic equation
• Arbitrary-order difference schemes for solving linear advection equations with constant coefficients by the Godunov method with antidiffusion
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