Numerical study of the dynamics of an elastic element of a flow channel

Title	Numerical study of the dynamics of an elastic element of a flow channel
Authors	Y. A. Tamarova¹ ¹Ulyanovsk State Technical University
Annotation	The dynamics of an elastic element of a channel wall during a compressible gas or liquid flow is investigated. A numerical solution based on the finite difference method is proposed. A second-order implicit-explicit difference scheme with approximations in time and space is used, in which the linear equation for the elastic element's dynamics is approximated implicitly, and the wave equation for the velocity potential is explicitly approximated.
Keywords	aerohydroelasticity, finite difference method, dynamics.
Citation	Tamarova Y. A. ''Numerical study of the dynamics of an elastic element of a flow channel'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 217-221. Available at: https://conf.svmo.ru/files/2026/papers/paper109.pdf. - Date of access: 25.09.2026.