Geodesic
On the interactions between a solid body and a compressible inviscid fluid
Raul Borsche1 ; Rinaldo M. Colombo2 ; Mauro Garavello3 orcid
1Technische Universität Kaiserslautern, Germany
2Università degli Studi di Brescia, Italy
3Università di Milano-Bicocca, Italy
Interfaces and free boundaries, Tome 15 (2013) no. 3, pp. 381-403

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DOI

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.
DOI : 10.4171/ifb/307
Classification : 35-XX, 34-XX
Mots-clés : Mixed PDE–ODE problems, balance laws, ordinary differential equations

Raul Borsche  1   ; Rinaldo M. Colombo  2   ; Mauro Garavello  3

1 Technische Universität Kaiserslautern, Germany
2 Università degli Studi di Brescia, Italy
3 Università di Milano-Bicocca, Italy 
Raul Borsche; Rinaldo M. Colombo; Mauro Garavello. On the interactions between a solid body and a compressible inviscid fluid. Interfaces and free boundaries, Tome 15 (2013) no. 3, pp. 381-403. doi: 10.4171/ifb/307
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     title = {On the interactions between a solid body and a compressible inviscid fluid},
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     year = {2013},
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