Analytical velocity potentials in cells with a rigid spherical wall

作者：Barnyak Mykhailo; Gavrilyuk Ivan; Hermann Martin; Timokha Alexander^*

来源：Zeitschrift fur Angewandte Mathematik und Mechanik, 2011, 91(1): 38-45.

DOI：10.1002/zamm.201000078

• Kelvin's inversion
• spherical domain
• variational methods
• sloshing

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 hydrodynamic problems.

• 出版日期2011-1