The preconditioning of chemical sources terms in equations with diffusion, convection and chemical kinetics
Matematičeskoe modelirovanie, Tome 31 (2019) no. 5, pp. 56-68.

Voir la notice de l'article provenant de la source Math-Net.Ru

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, preconditioning, quasi-linear elimination.
Mots-clés : equations degradation
@article{MM_2019_31_5_a3,
     author = {A. S. Petrusev},
     title = {The preconditioning of chemical sources terms in equations with diffusion, convection and chemical kinetics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {56--68},
     publisher = {mathdoc},
     volume = {31},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2019_31_5_a3/}
}
TY  - JOUR
AU  - A. S. Petrusev
TI  - The preconditioning of chemical sources terms in equations with diffusion, convection and chemical kinetics
JO  - Matematičeskoe modelirovanie
PY  - 2019
SP  - 56
EP  - 68
VL  - 31
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2019_31_5_a3/
LA  - ru
ID  - MM_2019_31_5_a3
ER  - 
%0 Journal Article
%A A. S. Petrusev
%T The preconditioning of chemical sources terms in equations with diffusion, convection and chemical kinetics
%J Matematičeskoe modelirovanie
%D 2019
%P 56-68
%V 31
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2019_31_5_a3/
%G ru
%F MM_2019_31_5_a3
A. S. Petrusev. The preconditioning of chemical sources terms in equations with diffusion, convection and chemical kinetics. Matematičeskoe modelirovanie, Tome 31 (2019) no. 5, pp. 56-68. http://geodesic.mathdoc.fr/item/MM_2019_31_5_a3/

[1] Cantera: One-Dimensional Flames, http://cantera.org/docs/sphinx/html/flames.html

[2] Chemistry Simulation for More Efficient Designs, https://www.ansys.com/-/media/Ansys/corporate/resourcelibrary/brochure/chemkin-pro-brochure.pdf

[3] G.V. Belov, Termodinamicheskoe modelirovanie, Nauchniy Mir, M., 2000

[4] A.S. Petrusev, “The Problem of “Low Concentrations” in the Calculation of Thermodynamic Equilibrium”, High Temperature, 43:4 (2005), 522–529 | DOI

[5] Iu.V. Lapin, M.H. Streles, Vnutrennie techeniya gazovyh smesey, Nauka, M., 1989

[6] http://www.csoft.ru/catalog/soft/chemical-workbench/chemical-workbench.html

[7] A.S. Petrusev, “Chislennoe modelirovanie laminarnogo fakela”, Materialy 51 Konferentsii MFTI (2008), 73–76