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Artificial boundary conditions for linearized stationary incompressible viscous flow around rotating and translating body
Author(s) -
Deuring P.,
Kračmar S.,
Nečasová Š.
Publication year - 2021
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900039
Subject(s) - mathematics , pointwise , domain (mathematical analysis) , boundary (topology) , fictitious domain method , truncation (statistics) , mathematical analysis , lipschitz domain , compressibility , truncation error , lipschitz continuity , flow (mathematics) , nonlinear system , boundary value problem , incompressible flow , geometry , mechanics , physics , statistics , quantum mechanics
We consider the linearized and nonlinear stationary incompressible flow around rotating and translating body in the exterior domainR 3 ∖ D ¯ , whereD ⊂ R 3is 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 domainD R : = B R ∖ D ¯of the exterior domainR 3 ∖ D ¯under certain artificial boundary conditions on the truncating boundary ∂ B R , and then compare this solution with the solution in the exterior domainR 3 ∖ D ¯to get the truncation error estimate.