ABSTRACT
This chapter develops applications of the generalized method of lines to numerical solutions of the time-independent, incompressible Navier-Stokes system in fluid mechanics. We recall that for such a method, the domain of the partial differential equation in question is discretized in lines (or more generally in curves), and the concerning solutions are written on these lines as functions of the boundary conditions and the domain boundary shape. More specifically, in this text we present software’s and results for a concerning approximate proximal approach as well as results based on the original conception of the generalized method of lines.
