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.

Borsche, R., Colombo, R., Garavello, M. (2013). On the interactions between a solid body and a compressible inviscid fluid. INTERFACES AND FREE BOUNDARIES, 15(3), 381-403 [10.4171/IFB/307].

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

GARAVELLO, MAURO
2013

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.
Articolo in rivista - Articolo scientifico
Mixed PDE–ODE problems, balance laws, ordinary differential equations
English
2013
15
3
381
403
none
Borsche, R., Colombo, R., Garavello, M. (2013). On the interactions between a solid body and a compressible inviscid fluid. INTERFACES AND FREE BOUNDARIES, 15(3), 381-403 [10.4171/IFB/307].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/52865
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