Numerical solution of incompressible Navier-Stokes equations in integro-differential formulation using boundary-fitted coordinate system

Numerical solution of the two dimensional, incompressible, time-dependent Navier-Stokes equations in integro-differential formulation was investigated. Numerical computations were confined to the region of significant vorticity, but the solution was obtained in the entire field. The numerically-generated boundary-fitted curvilinear coordinate system was used to keep a coordinate line coincident with the expanding boundary of the region of significant vorticity. However, all the computations were performed on a rectangular, transformed plane with a constant square mesh having a fixed number of grid points. The time-dependent coordinate system was used to accomplish the coordinate system changes between time steps. The coordinate system control was used to obtain the required mesh size near the body.