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

By Fabricio S. Sousa, N. Mangiavacchi, Luis Gustavo Nonato, A. Castelo, M. F. Tomé, V. G. Ferreira, J. Cuminato, S. McKee. 2004

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The MAC method (2008, methodology): “Marker and cell methods are now much more sophisticated and provide accurate resolution of interfaces (and free surface) by accurately determining the surface normal and curvature (see [81]).”
An interface-capturing method for incompressible two-phase flows. Validation and application to bubble dynamics (2007, methodology): “As shown on several test cases, this algorithm allows the interface to deform properly while maintaining the numerical thickness of the transition region within three computational cells whatever the structure of the local flow field.”
An improved finite element space for discontinuous pressures (2010, result): “The bottom bubble follows and catches the top one, and the results are in good agreement with those reported by Sousa et al [24] and Marchandise et al [25].”