Institute of Thermomechanics AS CR, v.v.i. | CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics | MIO Université du Sud Toulon Var - AMU - CNRS - IRD | Czech Pilot centre ERCOFTAC |
Recent Results on the Problem of Motion of Viscous Fluid Around a Rotating Rigid Body | |
Deuring P., Kračmar S., Nečasová Š. | |
Abstract: | |
We consider the linearized incompressible flow around rotating and translating body in the exterior domain R³\D‾, where D⊂R³ is open and bounded, with Lipschitz boundary. We derive the pointwise estimates for the pressure. Further, we consider the linearized problem in a truncation domain DR:=BR\D‾ of the exterior domain R³\D‾ under certain artificial boundary conditions on the truncating boundary ∂BR, and then compare this solution with the solution in the exterior domain R³\D‾ to get the truncation error estimate. | |
Keywords: | |
pointwise decay, artificial boundary, error estimates | |
Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2020.006 | |
In Proceedings Topical Problems of Fluid Mechanics 2020, Prague, 2020 Edited by David Šimurda and Tomáš Bodnár, pp. 42-47ISBN 978-80-87012-74-1 (Print)ISSN 2336-5781 (Print) |