| Journal: | Journal of the Brazilian Society of Mechanical Sciences |
| Database: | PERIÓDICA |
| System number: | 000312080 |
| ISSN: | 0100-7386 |
| Authors: | Castelo-Filho, Antonio1 Mangiavacchi, Norberto Tome, Murilo F Cuminato, Jose A Fortuna, Armando O Oliveira, Juliana de Ferreira, Valdemir G McKee, Sean2 |
| Institutions: | 1Universidade de Sao Paulo, Departamento de Ciencias de Computacao e Estatistica, Sao Carlos, Sao Paulo. Brasil 2University of Strathclyde, Department of Mathematics, Glasgow, Lanark. Reino Unido |
| Year: | 2001 |
| Volumen: | 23 |
| Number: | 4 |
| Pages: | 523-532 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental |
| English abstract | In the present work we describe a method which allows the incorporation of surface tension into the GENSMAC2D code. This is achieved on two scales. First on the scale of a cell, the surface tension effects are incorporated into the free surface boundary conditions through the computation of the capillary pressure. The required curvature is estimated by fitting a least square circle to the free surface using the tracking particles in the cell and in its close neighbors. On a sub-cell scale, short wavelength perturbations are filtered out using a local 4-point stencil which is mass conservative. An efficient implementation is obtained through a dual representation of the cell data, using both a matrix representation, for ease at identifying neighbouring cells, and also a tree data structure, which permits the representation of specific groups of cells with additional information pertaining to that group. The resulting code is shown to be robust, and to produce accurate results when compared with exact solutions of selected fluid dynamic problems involving surface tension |
| Disciplines: | Física y astronomía, Matemáticas |
| Keyword: | Mecánica, elasticidad y reología, Matemáticas aplicadas, Simulación numérica, Tensión superficial, Métodos numéricos |
| Keyword: | Physics and astronomy, Mathematics, Mechanics, elasticity and rheology, Applied mathematics, Numerical simulation, Surface tension, Numerical methods |
| Full text: | Texto completo (Ver HTML) |
