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

Raul Borsche | Zendy; Rinaldo M. Colombo | Zendy; Mauro Garavello | Zendy

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

Author(s) -

Raul Borsche,

Rinaldo M. Colombo,

Mauro Garavello

Publication year - 2013

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/307

Subject(s) - inviscid flow , compressibility , ball (mathematics) , mechanics , ordinary differential equation , compressible flow , mathematics , differential equation , classical mechanics , physics , mathematical analysis

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.

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