Multi-grid technique for the solution of incompressible Navier-Stokes equations

A computationally efficient method is proposed for obtaining fine-mesh solutions of the Navier-Stokes equations for high-Re flow, including separation. The method involves implementing a multi-grid solution procedure with suitably chosen elements, such that the resulting overall solution technique is efficient as well as robust. The robustness and efficiency of the solution technique are demonstrated by applying it to three model problems: flow in a driven cavity, downstream asymptotic flow in curved ducts of square and polar sections, and Newmann boundary-value problem in clustered curvilinear orthogonal coordinates.