Some diverse directions in higher order compact methodology

Abstract

This dissertation is concerned with the application of some existing compact finite difference schemes to hitherto unexplored areas and further development of some new higher order compact HOC schemes A global stability analysis of the staggered lid driven cavity flow for both parallel and anti parallel motion of the lids is carried out with a recently developed HOC scheme To the best of our knowledge this is the very first attempt to carry out the analysis of the flow stability inside a st