An alternative finite element formulation for determination of streamlines in two-dimensional problems



Título del documento: An alternative finite element formulation for determination of streamlines in two-dimensional problems
Revista: Journal of the Brazilian Society of Mechanical Sciences
Base de datos: PERIÓDICA
Número de sistema: 000312057
ISSN: 0100-7386
Autores: 1
2
3
Instituciones: 1Universidade Federal do Rio Grande do Sul, Departamento de Engenharia Mecanica, Porto Alegre, Rio Grande do Sul. Brasil
2Universidade Federal Fluminense, Departamento de Engenharia Mecanica, Niteroi, Rio de Janeiro. Brasil
3Universidade Federal Fluminense, Departamento de Ciencias Computacionales, Niteroi, Rio de Janeiro. Brasil
Año:
Volumen: 22
Número: 2
Paginación: 249-258
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Teórico, analítico
Resumen en inglés It is well known that the numerical solutions of incompressible viscous flows are of great importance in Fluid Dynamics. The graphics output capabilities of their computational codes have revolutionized the communication of ideas to the non-specialist public. In general those codes include, in their hydrodynamic features, the visualization of flow streamlines - essentially a form of contour plot showing the line patterns of the flow - and the magnitudes and orientations of their velocity vectors. However, the standard finite element formulation to compute streamlines suffers from the disadvantage of requiring the determination of boundary integrals, leading to cumbersome implementations at the construction of the finite element code. In this article, we introduce an efficient way - via an alternative variational formulation - to determine the streamlines for fluid flows, which does not need the computation of contour integrals. In order to illustrate the good performance of the alternative formulation proposed, we capture the streamlines of three viscous models: Stokes, Navier-Stokes and Viscoelastic flows
Disciplinas: Física y astronomía,
Matemáticas
Palabras clave: Dinámica de fluidos,
Matemáticas puras,
Líneas de corriente,
Formulación,
Método de elementos finitos,
Ecuaciones de Navier-Stokes,
Flujos,
Viscoelasticidad
Keyword: Physics and astronomy,
Mathematics,
Fluid dynamics,
Pure mathematics,
Streamlines,
Formulations,
Finite element method,
Navier-Stokes equations,
Flows,
Viscoelasticity
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