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



Document title: Simulations of incompressible fluid flows by a least squares finite element method
Journal: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Database: PERIÓDICA
System number: 000312293
ISSN: 1678-5878
Authors: 1
Institutions: 1Universidade Estadual Paulista "Julio de Mesquita Filho", Faculdade de Engenharia, Ilha Solteira, Sao Paulo. Brasil
Year:
Season: Jul-Sep
Volumen: 27
Number: 3
Pages: 274-282
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental
English abstract 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
Disciplines: Ingeniería,
Matemáticas
Keyword: Ingeniería mecánica,
Matemáticas aplicadas,
Turbulencia,
Fluidos,
Flujo,
Método de elementos finitos,
Ecuaciones de Navier-Stokes
Keyword: Engineering,
Mathematics,
Mechanical engineering,
Applied mathematics,
Navier-Stokes equations,
Turbulence,
Finite element method,
Fluids,
Flow
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