Discontinuous Galerkin method and its application to the solution of selected problems of fluid mechanics

The project is aimed at the development of discontinuous Galerkin method and its application to selected problems of fluid mechanics. A specific implementation of the algorithms of discontinuous Galerkin method will be developed in a form permitting a relatively easy and handy application to the solution of not entirely standard problems of both basic and applied research in hydrodynamics. Concrete applications will be focused on unsteady flow in open channels making use of the "shallow water" theory, and on laminar flow of non-Newtonian liquids. The main goal is general implementation of the method enabling possible extension to other problems of fluid mechanics. For selected problems, there will be run the experiments which will make it possible to estimate the suitability of the method to the solution of practical problems of fluid mechanics.