On numerical approximations to fluid-structure interactions involving compressible fluids

0556687 - MÚ 2023 RIV DE eng J - Článek v odborném periodiku
Schwarzacher, S. - She, Bangwei
On numerical approximations to fluid-structure interactions involving compressible fluids.
Numerische Mathematik. Roč. 151, č. 1 (2022), s. 219-278. ISSN 0029-599X. E-ISSN 0945-3245
Institucionální podpora: RVO:67985840
Klíčová slova: numerical approximations * fluid-structure interaction problem * compressible barotropic fluid
Obor OECD: Pure mathematics
Impakt faktor: 2.1, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1007/s00211-022-01275-2

In this paper we introduce a numerical scheme for fluid–structure interaction problems in two or three space dimensions. A flexible elastic plate is interacting with a viscous, compressible barotropic fluid. Hence the physical domain of definition (the domain of Eulerian coordinates) is changing in time. We introduce a fully discrete scheme that is stable, satisfies geometric conservation, mass conservation and the positivity of the density. We also prove that the scheme is consistent with the definition of continuous weak solutions.
Trvalý link: http://hdl.handle.net/11104/0330807