Title | Approaches for increasing the order of approximation of the Smoothed Particle Hydrodynamics (SPH) method on smooth solutions |
---|---|

Authors | O. P. Stoyanovskaya^{1}, V. V. Grigoryev^{1}, T. A. Savvateeva^{1}^{1}Lavrentiev Institute of Hydrodynamics SB RAS |

Annotation | The paper discusses approaches for increasing the order of approximation of the Smoothed Particle Hydrodynamics (SPH) method on smooth solutions. A numerical solution of the problem of piston motion in a gas is presented, problems are shown when conjugating second and higher order methods in SPH with gas-solid wall boundary conditions. |

Keywords | smoothed particle hydrodynamics, high order method, piston in gas |

Citation | Stoyanovskaya O. P., Grigoryev V. V., Savvateeva T. A. ''Approaches for increasing the order of approximation of the Smoothed Particle Hydrodynamics (SPH) method on smooth solutions'' [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. 220-226. Available at: https://conf.svmo.ru/files/2023/papers/paper35.pdf. - Date of access: 02.12.2023. |

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

Powered by Yii Framework