'Mehrstellen' techniques for the numerical solution of unsteady incompressible viscous flow in enclosures

The efficiency of a Mehrstellen spatial discretization (MSD) of the vorticity stream function formulation of the Navier-Stokes equations is examined. Applications of the MSD (Operator Compact Implicit Techniques) to simple linear differential equations are described and consideration is given to the discretization of the Navier-Stokes equations. Use of the technique for the driven-cavity problem is illustrated and h4-accurate methods are compared with h2-accurate methods. Finally, implementation of an automatic mesh generator to arbitrary shaped enclosures in conditions of free convection is presented.