Title | The WENO high-order accuracy algorithm for modeling combustion of an oxygen-hydrogen mixture |
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Authors | R. V. Zhalnin^{1}, E. E. Peskova^{1}, V. F. Tishkin^{2}^{1}National Research Ogarev Mordovia State University ^{2}Keldysh Institute of Applied Mathematics |

Annotation | The article states results of numerical modeling of combustion of an oxygen-hydrogen mixture. Modeling was carried with using the developed software for numerical solution of the Navier-Stokes equations in low Mach number approximation. The article presents a scheme for the numerical solution of equations taking into account the processes of diffusion, viscosity, thermal conductivity and chemical reactions. |

Keywords | combustion of hydrogen, Navier-Stokes equations, chemical reaction, WENO scheme |

Citation | Zhalnin R. V., Peskova E. E., Tishkin V. F. ''The WENO high-order accuracy algorithm for modeling combustion of an oxygen-hydrogen mixture'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 3-9. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper01.pdf. - Date of access: 05.12.2020. |

**© SVMO, National Research Mordovia State University, 2020**

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