Analytival velocity potentials for a liquid contacting with a rigid spherical wall

by    M. Barnyak, I. Gavrilyuk, M. Hermann, A. Timokha

Preprint series: 10-01, Reports on Numerical Mathematics

MSC:
35J20 Variational methods for second-order, elliptic equations
65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

Abstract: By using Kelvin's inversion, we construct analytical harmonic functions satisfying the zero-Neumann condition on the inner spherical wall everywhere except a single point where the velocity is infinite. This set of functions can be used to construct approximate velocity potentials associated with liquid sloshing in a spherical tank, and in other related hydrodynamic problems.

Keywords: Sloshing, spherical tank, variational methods, modal system

Upload: 2010-04-16


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