Development of compact schemes for the biharmonic form of navier stokes equations on compact nonuniform grids without transformation

Abstract

This work is concerned with developing compact finite difference schemes for simulating incompressible viscous flows governed by the Navier Stokes N S equations on non uniform grids without transformations The main work is concerned with developing two efficient schemes one for the steadystate form of the N S equations and the other one is for its transient counterpart They are developed for the the pure stream function formulation of the N S equations and second order accurate in both ti newline newline