The numerical calculation of freestreamline flows in a rotating fluid at low Rossby number
Abstract
The separated flow past a bluff obstacle in a lowRossbynumber rotating fluid is considered in the limit as the boundarylayer thickness tends to zero. This flow can be described by the solution to a freestreamline problem in potential theory, not unlike that for the Kirchhoff and Riabouchinsky flows which arise in nonrotating fluids. The solution to this problem can be expressed as a boundary integral, but with the position of the boundary being sought rather than the tangential velocity. A Newton iteration is used to solve the resulting nonlinear integral equation, after first using a conformal transformation to simplify the geometry and reduce the number of unknowns.
 Publication:

Computational Fluid Dynamics
 Pub Date:
 1988
 Bibcode:
 1988cfd..proc..579P
 Keywords:

 Circular Cylinders;
 Computational Fluid Dynamics;
 Flow Distribution;
 Free Flow;
 Rossby Regimes;
 Rotating Fluids;
 Integral Equations;
 Iterative Solution;
 Nonlinear Equations;
 Reattached Flow;
 Fluid Mechanics and Heat Transfer