Title | Approaches for increasing the order of approximation of the Smoothed Particle Hydrodynamics (SPH) method on smooth solutions |
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Authors | O. P. Stoyanovskaya1, V. V. Grigoryev1, T. A. Savvateeva1 1Lavrentiev 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: 12.11.2024. |
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