| Numerical Simulations of 3D Free-surface Flows with Surface Tension |
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| Fabricio Simeoni de Sousa - Instituto de Ciencias Matematicas e de Computacao - USP Norberto Mangiavacchi - Instituto de Ciencias Matematicas e de Computacao - USP Antonio Castelo Filho - Instituto de Ciencias Matematicas e de Computacao - USP Luiz Gustavo Nonato - Instituto de Ciencias Matematicas e de Computacao - USP Murilo Francisco Tome - Instituto de Ciencias Matematicas e de Computacao - USP Jose Alberto Cuminato - Instituto de Ciencias Matematicas e de Computacao - USP |
This work presents a method for simulating three-dimensional free-surface flows dominated by surface tension. The surface tension effects are incorporated into the free surface boundary conditions through the computation of the capillary pressure. For the required calculation of the curvature, three methods of local surface approximation were designed, with different complexities and precision. To avoid short wavelength perturbations on the free surface, a mass-conserving filter is employed. This filter is an extension of the Trapezoidal Sub-grid Undulations Removal (TSUR) method to the 3D case, which conserves volume and therefore mass. A free-surface Navier-Stokes code using these methods is shown to produce accurate results when compared with exact solutions of selected fluid dynamic problems involving surface tension, like the sessile and oscillating drops. |