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Flexible tubes conveying fluid: geometric modeling, stability, and variational integrators

Presented by: 
François Gay-Balmaz CNRS - Ecole Normale Superieure Paris
Date: 
Wednesday 20th September 2017 - 09:00 to 09:40
Venue: 
INI Seminar Room 1
Abstract: 
Co-author: Vakhtang PUTKARADZE (University of Alberta)

We derive a geometrically exact theory for flexible tubes conveying fluid. The theory also incorporates the change of the cross section available to the fluid motion during the dynamics. We consider both compressible and incompressible fluids. We proceed to the linear stability analysis and show that our theory introduces important corrections to previously derived results. Based on this theory, we derive a variational discretization of the dynamics based on the appropriate discretization of the fluid’s back-to-labels map, coupled with a variational discretization of the elastic part of the Lagrangian.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons