| Journal: | Journal of the Brazilian Society of Mechanical Sciences |
| Database: | PERIÓDICA |
| System number: | 000312057 |
| ISSN: | 0100-7386 |
| Authors: | Frey, Sergio1 Costa, Maria Laura Martins2 Araujo, Jose Henrique Carneiro de3 |
| Institutions: | 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 |
| Year: | 2000 |
| Volumen: | 22 |
| Number: | 2 |
| Pages: | 249-258 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Teórico, analítico |
| English abstract | 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 |
| Disciplines: | Física y astronomía, Matemáticas |
| Keyword: | 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 |
| Full text: | Texto completo (Ver HTML) |
