On the interactions between a solid body and a compressible inviscid fluid
Raul BorscheTechnische Universität Kaiserslautern, Germany
Rinaldo M. ColomboUniversità degli Studi di Brescia, Italy
Mauro GaravelloUniversità di Milano-Bicocca, Italy
This paper presents a model describing the interaction between a solid body and a compressible inviscid fluid in a pipe. The resulting system consists in a 1D hyperbolic balance law coupled with an ordinary differential equation and is proved to be well posed. Simple explicit solutions and numerical integrations show qualitative features of this model. In particular, we consider a ball falling in a vertical tube closed at the bottom. This system results in the ball bouncing on the shocks reflected between the ball and the bottom.
Cite this article
Raul Borsche, Rinaldo M. Colombo, Mauro Garavello, On the interactions between a solid body and a compressible inviscid fluid. Interfaces Free Bound. 15 (2013), no. 3, pp. 381–403DOI 10.4171/IFB/307