Author:
Feireisl Eduard,Roy Arnab,Zarnescu Arghir
Abstract
AbstractWe consider the motion of a compressible viscous fluid containing a moving rigid body confined to a planar domain $$\Omega \subset R^2$$
Ω
⊂
R
2
. The main result states that the influence of the body on the fluid is negligible if (i) the diameter of the body is small and (ii) the fluid is nearly incompressible (the low Mach number regime). The specific shape of the body as well as the boundary conditions on the fluid–body interface are irrelevant and collisions with the boundary $$\partial \Omega $$
∂
Ω
are allowed. The rigid body motion may be enforced externally or governed solely by its interaction with the fluid.
Funder
Technische Universität Darmstadt
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Engineering,Modeling and Simulation
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