The numerical calculation of rotating fluid flows at low Rossby numbers
Abstract
Numerical methods which can be used to calculate flows in a rapidly rotating fluid are presented. The flows considered are those within a closed cylindrical container rotating about an axis aligned with the sidewalls, with a slow motion superposed upon the rigid rotation of the fluid. The Rossby number in this case is small; the Eckman number is also considered to be small, so that viscous diffusion is confined to the thin layers of the fluid. The flows calculated are those in the geostrophic region of the fluid, where the motion is depthindependent and the governing equations are twodimensional. Between the geostatic flow and the walls of the container, however, there are ageostrophic layers of two types. By analyzing these layers theoretically, appropriate boundary conditions on the geostrophic flow can be calculated.
 Publication:

Numerical Methods in Fluid Dynamics
 Pub Date:
 1982
 DOI:
 10.1007/3540119485_50
 Bibcode:
 1982LNP...170..402P
 Keywords:

 Computational Fluid Dynamics;
 Rossby Regimes;
 Rotating Fluids;
 Cylindrical Chambers;
 Ekman Layer;
 Fluid Mechanics and Heat Transfer