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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2019 Volume 31, Number 5, Pages 56–68 (Mi mm4072)

The preconditioning of chemical sources terms in equations with diffusion, convection and chemical kinetics

A. S. Petrusevab

a NRC «Kurchatov Institute»
b SU «Moscow Institute of Physics and Technology»

Abstract: The reasons of degeneration have been considered for finite-differences equations of multi-components hydrodynamics of chemically active gas. To prevent the equations degeneration, the preconditioning method is developed. The method is adjusted for modeling of one-dimension gas mixture combustion in the case of extremely fast chemical reactions present.

Keywords: chemical kinetics, equations degradation, preconditioning, quasi-linear elimination.

Received: 04.06.2018
Revised: 22.11.2018
Accepted: 10.12.2018

DOI: 10.1134/S0234087919050046


 English version:
Mathematical Models and Computer Simulations, 2019, 11:6, 1052–1058

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© Steklov Math. Inst. of RAS, 2026