Modified splitting method for solving the nonstationary kinetic particle transport equation

DOI10.1134/S096554251608011XzbMath1469.76091MaRDI QIDQ519676

V. M. Shmakov, N. Ya. Moiseev

Publication date: 5 April 2017

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

zbMATH Keywords

Monte Carlo methodcollision integralGodunov methoddiscrete ordinate methodkinetic neutron transport equation

Mathematics Subject Classification ID

Nuclear reactor theory; neutron transport (82D75) Basic methods in fluid mechanics (76M99) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P99)

Related Items (2)

Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations ⋮ Discrete-analytical difference scheme for solving the nonstationary particle transport equation by the splitting method

Cites Work

• Explicit-implicit difference scheme for the joint solution of the radiative transfer and energy equations by the splitting method
• High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov’s method with antidiffusion
• High-order accurate implicit running schemes
• Symmetric difference schemes of componentwise splitting and equivalent predictor-corrector scheme based on the Godunov method as applied to multidimensional gasdynamic simulation
• 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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