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



Título del documento: Simulations of incompressible fluid flows by a least squares finite element method
Revue: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Base de datos: PERIÓDICA
Número de sistema: 000312293
ISSN: 1678-5878
Autores: 1
Instituciones: 1Universidade Estadual Paulista "Julio de Mesquita Filho", Faculdade de Engenharia, Ilha Solteira, Sao Paulo. Brasil
Año:
Periodo: Jul-Sep
Volumen: 27
Número: 3
Paginación: 274-282
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental
Resumen en inglés 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
Disciplinas: Ingeniería,
Matemáticas
Palabras clave: 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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