Numerical simulation of two dimensional compressible and incompressible flows

In this article, we make use of a stabilized Finite Element method to solve the complete set of Navier-Stokes equations. The methodology adopted is such that it allows for the use of different sets of variables, particularly the so called conservative and pressure variables. A space-time formulation using a simple augmented SUPG stabilizing term is proposed for the particular case of pressure variables. Comparison with data published in the available literature is done and a reasonably good agreement is obtained.