On numerical approximations to fluid-structure interactions involving compressible fluids

0556687 - MÚ 2023 RIV DE eng J - Journal Article
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
Institutional support: RVO:67985840
Keywords : numerical approximations * fluid-structure interaction problem * compressible barotropic fluid
OECD category: Pure mathematics
Impact factor: 2.1, year: 2022
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0330807