Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 523-532 |
| Number of pages | 9 |
| Journal | Journal of the Brazilian Society of Mechanical Sciences |
| Volume | 23 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2001 |
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Keywords
- numerical simulation
- free-surface flows
- surface tension
- mathematics
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Surface tension implementation for Gensmac 2D. / Filho, Antonio Castelo; Mangiavacchi, Norberto; Tomé, Murilo F.; Cuminato, José A.; Fortuna, Armando O.; de Oliveira, Juliana; Ferreira, Valdemir G.; McKee, S.
In: Journal of the Brazilian Society of Mechanical Sciences, Vol. 23, No. 4, 2001, p. 523-532.Research output: Contribution to journal › Article
TY - JOUR
T1 - Surface tension implementation for Gensmac 2D
AU - Filho, Antonio Castelo
AU - Mangiavacchi, Norberto
AU - Tomé, Murilo F.
AU - Cuminato, José A.
AU - Fortuna, Armando O.
AU - de Oliveira, Juliana
AU - Ferreira, Valdemir G.
AU - McKee, S.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
KW - numerical simulation
KW - free-surface flows
KW - surface tension
KW - mathematics
U2 - 10.1590/S0100-73862001000400013
DO - 10.1590/S0100-73862001000400013
M3 - Article
VL - 23
SP - 523
EP - 532
JO - Journal of the Brazilian Society of Mechanical Sciences
JF - Journal of the Brazilian Society of Mechanical Sciences
SN - 0100-7386
IS - 4
ER -