Higher order compact schemes and their applications to problems with complex geometries

Abstract

The thesis is aimed to modify an already existing higher order compact HOC finite difference scheme to enhance its applicability and robustness To examine the robustness of the proposed scheme it is applied to lid driven cavity problems natural and mixed convection problems including some magnetohydrodynamic effects in some complex geometries Numerical results computed through the proposed HOC schemes are compared with analytical or established numerical results available in the literature