Numerical solution for viscous flow for two-dimensional domains using orthogonal coordinate systems (Q1087405)

A method to generate two-dimensional orthogonal grids in simply and doubly connected domains is given. The method not only generates the grids but also finds the modulus of the domain simultaneously. Also, the Navier-Stokes equations are solved in some doubly connected domains. The insteady vorticity stream function approach is used. The stream function on one of the boundaries has to be updated at every time step. Comparisons are made between numerical and experimental results; quite good agreement can be achieved.