Artificial boundary conditions for linearized stationary incompressible viscous flow around rotating and translating body

0537053 - MÚ 2022 RIV DE eng J - Journal Article
Deuring, P. - Kračmar, Stanislav - Nečasová, Šárka
Artificial boundary conditions for linearized stationary incompressible viscous flow around rotating and translating body.
Mathematische Nachrichten. Roč. 294, č. 1 (2021), s. 56-73. ISSN 0025-584X. E-ISSN 1522-2616
R&D Projects: GA ČR GA16-03230S; GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : artificial boundary condition * sexterior domainin * compressible fluid * rotating and translating body
OECD category: Pure mathematics
Impact factor: 1.199, year: 2021
Method of publishing: Limited access
https://doi.org/10.1002/mana.201900039

We consider the linearized and nonlinear stationary incompressible flow around rotating and translating body in the exterior domain (Formula presented.), where (Formula presented.) is open and bounded, with Lipschitz boundary. We derive the pointwise estimates for the pressure in both cases. Moreover, we consider the linearized problem in a truncation domain (Formula presented.) of the exterior domain (Formula presented.) under certain artificial boundary conditions on the truncating boundary (Formula presented.), and then compare this solution with the solution in the exterior domain (Formula presented.) to get the truncation error estimate.
Permanent Link: http://hdl.handle.net/11104/0314822