Topical Problems of Fluid Mechanics


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. 42-47 ISBN 978-80-87012-74-1 (Print) ISSN 2336-5781 (Print)