Asymptotics of solutions for a basic case of fluid structure interaction

Details Asymptotics of solutions for a basic case of fluid structure interaction Asymptotics of solutions for a basic case of fluid structure interaction

2011-09-07

arxiv.org/abs/1109.1431v2

Physics

Mathematical Physics

Presentation of results clarified

Scientific paper

We consider the Navier--Stokes equations in a half-plane with a drift term parallel to the boundary and a small source term of compact support. We provide detailed information on the behavior of the velocity and the vorticity at infinity in terms of an asymptotic expansion at large distances from the boundary. The expansion is universal in the sense that it only depends on the source term through some multiplicative constants. This expansion is identical to the one for the problem of an exterior flow around a small body moving at constant velocity parallel to the boundary, and can be used as an artificial boundary condition on the edges of truncated domains for numerical simulations.

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