Numerical study of a rotating fluid in a spheroidal container.

Denys Schmitt (1) , Dominique Jault (2)

1 LLN - Laboratoire Louis Néel
2 LGIT - Laboratoire de Géophysique Interne et Tectonophysique

The motion of an incompressible, viscous rotating fluid contained in a spheroidal conainer is studied by a direct numerical simulation in a oblate speroidal system. An appropriate formalism is first derived which allows us to expand any scalar field in spherical harmonics and to decompose any vector field into its sphero-poloidal and sphero-toroidal scalar parts.

Mots clés: rotating fluids; viscous effects; spheroidal geometry

Domaines: Dynamique des Fluides [physics.flu-dyn]

Denys Schmitt, Dominique Jault. Numerical study of a rotating fluid in a spheroidal container.. Journal of Computational Physics, 2004, 197 (2), pp.671-685. ⟨10.1016/j.jcp.2003.12.014⟩. ⟨hal-00107060⟩