Journal of the Brazilian Society of Mechanical Sciences and Engineering
On-line version ISSN 1806-3691
COSTA, G. K.; LYRA, P. R. M. and LIRA, C. A. B. de Oliveira. Numerical simulation of two dimensional compressible and incompressible flows. J. Braz. Soc. Mech. Sci. & Eng. [online]. 2005, vol.27, n.4, pp. 372-380. ISSN 1806-3691. http://dx.doi.org/10.1590/S1678-58782005000400005.
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.
Keywords : Navier-Stokes equations; compressible flows and incompressible flows; SUPG.