TY - JOUR
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
UR - http://dx.doi.org/10.1016/j.jcp.2004.01.032
U2 - 10.1016/j.jcp.2004.01.032
DO - 10.1016/j.jcp.2004.01.032
M3 - Article
VL - 198
SP - 469
EP - 499
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
IS - 2
ER -