| Full text | |
| Author(s): |
Sousa, F. S. de
;
Mangiavacchi, N.
;
Nonato, L. G.
;
Castelo, A.
;
Tomé, M. F.
;
Ferreira, V. G.
;
Cuminato, J. A.
[7]
;
McKee, S.
Total Authors: 8
|
| Document type: | Journal article |
| Source: | Journal of Computational Physics; v. 198, n. 2, p. 469-499, Aug. 2004. |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
| 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. (AU) | |
| FAPESP's process: | 00/03385-0 - SNENS III - Numerical Solution of Navier-Stokes Equations: Three-dimensional Flows |
| Grantee: | José Alberto Cuminato |
| Support Opportunities: | Research Projects - Thematic Grants |