JournalsifbVol. 15, No. 3pp. 381–403

On the interactions between a solid body and a compressible inviscid fluid

  • Raul Borsche

    Technische Universität Kaiserslautern, Germany
  • Rinaldo M. Colombo

    Università degli Studi di Brescia, Italy
  • Mauro Garavello

    Università di Milano-Bicocca, Italy
On the interactions between a solid body and a compressible inviscid fluid cover
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Abstract

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. 381–403

DOI 10.4171/IFB/307