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Zbl 1053.76006
Faltinsen, Odd M.; Rognebakke, Olav F.; Timokha, Alexander N.
Resonant three-dimensional nonlinear sloshing in a square-base basin.
(English)
[J] J. Fluid Mech. 487, 1-42 (2003). ISSN 0022-1120; ISSN 1469-7645/e

The adaptive third-order modal approach was modified to handle three-dimensional sloshing in a rectangular-base basin. The assumptions are incompressible fluid, irrotational flow, no overturning waves and no roof impact. The free surface should intersect the tank walls perpendicularly. In addition, the lateral and angular external forcing is sufficiently small and characterized by a dimensionless parameter $\varepsilon\ll 1$. The modal approach of the authors allows to derive an infinite-dimensional system of ordinary differential equations coupling nonlinearly time-dependent (modal) functions describing time-evolution of the corresponding natural surface modes.
[Messoud A. Efendiev (Berlin)]
MSC 2000:
*76B10 Free-streamline theory and appl.
76M45 Asymptotic methods, singular perturbations

Keywords: modal approach; external forcing; free surface

Cited in: Zbl 1087.76012 Zbl 1065.76023

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