Surface Tension Implementation for Gensmac2d



Título del documento: Surface Tension Implementation for Gensmac2d
Revista: Journal of the Brazilian Society of Mechanical Sciences
Base de datos: PERIÓDICA
Número de sistema: 000312080
ISSN: 0100-7386
Autores: 1






2
Instituciones: 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
Año:
Volumen: 23
Número: 4
Paginación: 523-532
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental
Resumen en inglés 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
Disciplinas: Física y astronomía,
Matemáticas
Palabras clave: 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
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