Title | On the application of the explicit-iterative LI-M scheme to the modeling of subsonic reacting gas flows |
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Authors | E. E. Peskova^{1}, O. S. Yazovtseva^{1}, E. Y. Makarova^{1}^{1}National Research Mordovia State University |

Annotation | The paper develops an algorithm based on the explicit iterative scheme of the Li-M integration of dissipative terms for a mathematical model of the subsonic multicomponent reacting gas flow. It is based on the Navier-Stokes equations. The model is constructed taking into account the mutual diffusion of gases, their viscosity, thermal conductivity and chemical reactions. The computational algorithm is based on the principle of splitting by physical processes due to the high stiffness of the system: various solution methods are used to integrate the equations of chemical kinetics, convective flows, dissipative terms and pressure. Comparative analysis has shown the effectiveness of the developed algorithm in comparison with the algorithm based on the integro-interpolation method, in which the dissipative terms are calculated according to the scheme with central differences. |

Keywords | mathematical modeling, Navier-Stokes equations, splitting by physical processes, Chebyshev explicit-iterative scheme, methane conversion |

Citation | Peskova E. E., Yazovtseva O. S., Makarova E. Y. ''On the application of the explicit-iterative LI-M scheme to the modeling of subsonic reacting gas flows'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 189-192. Available at: https://conf.svmo.ru/files/2023/papers/paper30.pdf. - Date of access: 02.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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