Bicompact schemes for the joint solution of a one-group system of quasi-diffusion equations with the energy equation-Reference-Cited by-同舟云学术

Bicompact schemes for the joint solution of a one-group system of quasi-diffusion equations with the energy equation

Published:2023 Issue:25 Volume: Page:1-16
ISSN:2071-2898
Container-title:Keldysh Institute Preprints
language:
Short-container-title:KIAM Prepr.

Author:

Karavaeva Nataliia Igorevna^ORCID

Abstract

High-order bicompact schemes are proposed for one of the stages of the HOLO algorithm for solving the radiative transport equation and implemented. The system of quasi-diffusion equations is solved together with the energy equation. The schemes have a fourth-order approximation in space on a two-point stencil, integration over time is carried out using the diagonal-implicit Runge–Kutta method of the third order of approximation, each stage of the method can be represented as an implicit Euler method. It is proposed to organize an iterative process to find a solution, since the coefficients of the system are non-linear functions of temperature. The schemes are used for a number of analytical tests, the convergence in time and space with the declared orders is shown.

Publisher

Keldysh Institute of Applied Mathematics

Subject

General Materials Science

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