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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A front-tracking/front-capturing method for the simulation of 3D multi-fluid flows with free surfaces

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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 type: Research Projects - Thematic Grants