Compact biharmonic computation of the navier stokes equations extension to complex flows

Abstract

The work is mainly concerned with the development of compact finite difference formulations for the biharmonic equation in irregular geometries We specifically focus our attention towards the computation of solutions of complex flow problems by using biharmonic form of the Navier Stokes N S equations When irregular physical domains are transformed onto computational domains that are expressible in terms of conformal mappings the system of incompressible two dimensional NS equations reduces