Title | Numerical simulation of explosions in the air with the release of a shock wave |
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Authors | E. A. Veselova^{1}, Y. N. Deryugin^{1}, D. K. Zelensky^{1}, V. M. Ktitorov^{1}^{1}FSUE «RFNC - VNIIEF» |

Annotation | The paper presents a parallel method for calculating two-dimensional problems of gas dynamics on geometrically adaptive unstructured grids. This approach makes it possible to significantly reduce the computational complexity of algorithms due to detailed modeling of shock wave features. The technique is applied to solving several problems with an analytical solution, on which it has shown high efficiency and reliability of the results. |

Keywords | numerical methods, gas dynamics, geometrically adaptive unstructured grids, shock wave. |

Citation | Veselova E. A., Deryugin Y. N., Zelensky D. K., Ktitorov V. M. ''Numerical simulation of explosions in the air with the release of a shock wave'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 14-18, 2022). Saransk: SVMO Publ, 2022. - pp. 73-75. Available at: https://conf.svmo.ru/files/2022/papers/paper11.pdf. - Date of access: 02.12.2023. |

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

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