Abstract
A method for simulating incompressible, imiscible, unsteady, Newtonian, multi-fluid flows with free surfaces is described. A sharp interface separates fluids of different density and viscosity. Surface and interfacial tensions are also considered and the required curvature is geometrically approximated at the fronts by a least squares quadratic fitting. To remove small undulations at the fronts, a mass-conserving filter is employed. The numerical method employed to solve the Navier-Stokes equations is based on the GENSMAC-3D front-tracking method. The velocity field is computed using a finite-difference scheme on an Eulerian grid. The free-surface and the interfaces are represented by an unstructured Lagrangian grid moving through an Eulerian grid. The method was validated by comparing the numerical results with analytical results for a number of simple problems. Complex numerical simulations show the capability and emphasize the robustness of this new method.
| Original language | English |
|---|---|
| Pages (from-to) | 469-499 |
| Number of pages | 30 |
| Journal | Journal of Computational Physics |
| Volume | 198 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 10 Aug 2004 |
Keywords
- front-tracking method
- multi-fluid flows
- numerical simulation
- surface tension
- free surface flows
- finite-difference method
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De Sousa, F. S., Mangiavacchi, N., Nonato, L. G., Castelo, A., Tomé, M. F., Ferreira, V. G., Cuminato, J. A., & McKee, S. (2004). A front-tracking method for the simulating of 3D multi-fluid flows with free surfaces. Journal of Computational Physics, 198(2), 469-499. https://doi.org/10.1016/j.jcp.2004.01.032