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

Title	Approaches for increasing the order of approximation of the Smoothed Particle Hydrodynamics (SPH) method on smooth solutions
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: 21.11.2024.