Simulations of incompressible fluid flows by a least squares finite element method

• Autor(es):

  Pereira, V. D. (UNESP Ilha Solteira. Faculdade de Engenharia. Departamento de Engenharia Mecânica);

  Campos Silva, J. B. (UNESP Ilha Solteira. Faculdade de Engenharia. Departamento de Engenharia Mecânica).

• Fonte:

  Journal of the Brazilian Society of Mechanical Sciences and Engineering; volume 27, número 3, páginas 274-282. Setembro 2005.

• Assuntos:

  Navier-Stokes equations;

  large eddy simulation;

  least-squares finite element;

  fluid flows.

• Resumo:

  In 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-omega and u-p-tau 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-omega and u-p-tau 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.

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