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 |
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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