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

F.S. De Sousa, N. Mangiavacchi, L.G. Nonato, A. Castelo, M.F. Tomé, V.G. Ferreira, J.A. Cuminato, S. McKee

Research output: Contribution to journalArticle

90 Citations (Scopus)

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.
LanguageEnglish
Pages469-499
Number of pages30
JournalJournal of Computational Physics
Volume198
Issue number2
DOIs
Publication statusPublished - 10 Aug 2004

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fluid flow
Surface tension
Flow of fluids
grids
interfacial tension
Navier Stokes equations
fluid filters
Numerical methods
Viscosity
Navier-Stokes equation
Fluids
Computer simulation
velocity distribution
curvature
viscosity
fluids
simulation

Keywords

  • front-tracking method
  • multi-fluid flows
  • numerical simulation
  • surface tension
  • free surface flows
  • finite-difference method

Cite this

De Sousa, F. S., Mangiavacchi, N., Nonato, L. G., Castelo, A., Tomé, M. F., Ferreira, V. G., ... 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
De Sousa, F.S. ; Mangiavacchi, N. ; Nonato, L.G. ; Castelo, A. ; Tomé, M.F. ; Ferreira, V.G. ; Cuminato, J.A. ; McKee, S. / A front-tracking method for the simulating of 3D multi-fluid flows with free surfaces. In: Journal of Computational Physics. 2004 ; Vol. 198, No. 2. pp. 469-499.
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A front-tracking method for the simulating of 3D multi-fluid flows with free surfaces. / De Sousa, F.S.; Mangiavacchi, N.; Nonato, L.G.; Castelo, A.; Tomé, M.F.; Ferreira, V.G.; Cuminato, J.A.; McKee, S.

In: Journal of Computational Physics, Vol. 198, No. 2, 10.08.2004, p. 469-499.

Research output: Contribution to journalArticle

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AU - Mangiavacchi, N.

AU - Nonato, L.G.

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AU - Tomé, M.F.

AU - Ferreira, V.G.

AU - Cuminato, J.A.

AU - McKee, S.

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AB - 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.

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De Sousa FS, Mangiavacchi N, Nonato LG, Castelo A, Tomé MF, Ferreira VG et al. A front-tracking method for the simulating of 3D multi-fluid flows with free surfaces. Journal of Computational Physics. 2004 Aug 10;198(2):469-499. https://doi.org/10.1016/j.jcp.2004.01.032