Numerical Studies of Steady, Viscous, Incompressible Flow Between Two Rotating Spheres

Abstract

A new numerical method is developed for the solution of steady state, viscous, incompressible flow between two rotating spheres. The Navier-Stokes equations are approximated by a triple sequence of linear problems, each of which has a diagonally dominant coefficient matrix. Examples are given for Reynolds numbers in the range of 10<R<10 and for various angular velocity combinations. For appropriate choices of smoothing parameters, the method is exceptionally fast.