Implementation of boundary conditions. Artificial compressibility technique for steady-state flows. Vorticity and stream-function formulation. Solution of viscous, nonlinear , free-surface flows. On some open problems, issues and approximations in the numerical analysis of nonlinear free-surface flows such as existence of a continuum equation for the motion of contact line, modeling of the open boundary and incorporating wave effects in turbulence modeling.
Topics listed above are only tentative.
While it is the intention of the instructor to cover all these important topics in the lectures, some topics may have to be dropped because of time constraints.