Pereira, V. D. [UNESP]Campos Silva, J. B. [UNESP]2014-05-272014-05-272005-07-01Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 27, n. 3, p. 274-282, 2005.1678-5878http://hdl.handle.net/11449/68317In this work simulations of incompressible fluid flows have been done by a Least Squares Finite Element Method (LSFEM) using velocity-pressure-vorticity and velocity-pressure-stress formulations, named u-p-ω) and u-p-τ formulations respectively. These formulations are preferred because the resulting equations are partial differential equations of first order, which is convenient for implementation by LSFEM. The main purposes of this work are the numerical computation of laminar, transitional and turbulent fluid flows through the application of large eddy simulation (LES) methodology using the LSFEM. The Navier-Stokes equations in u-p-ω and u-p-τ formulations are filtered and the eddy viscosity model of Smagorinsky is used for modeling the sub-grid-scale stresses. Some benchmark problems are solved for validate the numerical code and the preliminary results are presented and compared with available results from the literature. Copyright © 2005 by ABCM.274-282engFluid flowsLarge eddy simulationLeast-squares finite elementNavier-Stokes equationsComputer simulationFinite element methodFlow of fluidsHeat fluxLaminar flowNavier Stokes equationsPartial differential equationsReynolds numberTurbulent flowViscosityCavity flowLarge eddy simulationsLeast-squares finite element method (LSFEM)Mass fluxesIncompressible flowArtigo10.1590/S1678-58782005000300009S1678-58782005000300009Acesso aberto2-s2.0-232444353222-s2.0-23244435322.pdf2164394495032150