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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2020 Volume 23, Number 1, Pages 126–142 (Mi sjim1082)

This article is cited in 1 paper

A multidimensional computational model of filtration gas combustion

Yu. M. Laevskyab, T. A. Nosovab

a Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
b Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Akad. Lavrentieva 6, Novosibirsk 630090, Russia

Abstract: We propose a two-temperature multidimensional computational model of filtration gas combustion. The model bases on the approximation of a system of conservation laws by the mixed finite element method in spatial variables and the splitting method in time. Particular attention is paid to improving the performance of the computational model by parallel computation.

Keywords: filtration combustion, conservation law, heat flow, relative enthalpy, approximation, mixed finite element method, splitting method, parallelization.

UDC: 519.688

Received: 11.07.2019
Revised: 02.10.2019
Accepted: 05.12.2019

DOI: 10.33048/SIBJIM.2020.23.111


 English version:
Journal of Applied and Industrial Mathematics, 2020, 14:1, 148–161


© Steklov Math. Inst. of RAS, 2025