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Coupled Liquid-Structure System

In order to apply the variational principle to the liquid-structure interaction problem, the liquid and the structure functionals, given by Equations (4.1) and (4.10), are combined together. The two statements are coupled at the liquid-structure interfaces by

$\displaystyle \dot{u}_n$=$\displaystyle \frac{\partial \phi}{\partial {\bf n}}$(138)
$\displaystyle {\bf f}^I$=$\displaystyle P \; {\bf n}$(139)

where ${ \bf n}=(n_x,n_y,n_z)$ is the outward normal unit vector from the liquid towards the structure.

A. Zeiny