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

doi:10.1016/j.jcp.2004.01.032

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

Mathematics And Statistics

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106 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.

Original language	English
Pages (from-to)	469-499
Number of pages	30
Journal	Journal of Computational Physics
Volume	198
Issue number	2
DOIs	https://doi.org/10.1016/j.jcp.2004.01.032
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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10.1016/j.jcp.2004.01.032

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

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.",

keywords = "front-tracking method, multi-fluid flows, numerical simulation, surface tension, free surface flows, finite-difference method",

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year = "2004",

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doi = "10.1016/j.jcp.2004.01.032",

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T1 - A front-tracking method for the simulating of 3D multi-fluid flows with free surfaces

AU - De Sousa, F.S.

AU - Mangiavacchi, N.

AU - Nonato, L.G.

AU - Castelo, A.

AU - Tomé, M.F.

AU - Ferreira, V.G.

AU - Cuminato, J.A.

AU - McKee, S.

PY - 2004/8/10

Y1 - 2004/8/10

N2 - 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.

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.

KW - front-tracking method

KW - multi-fluid flows

KW - numerical simulation

KW - surface tension

KW - free surface flows

KW - finite-difference method

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U2 - 10.1016/j.jcp.2004.01.032

DO - 10.1016/j.jcp.2004.01.032

M3 - Article

SN - 0021-9991

VL - 198

SP - 469

EP - 499

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

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

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Keywords

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