swMATH ID: 12822
Software Authors: Renardy, Yuriko; Renardy, Michael
Description: PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method. Volume-of-fluid (VOF) methods are popular for the direct numerical simulation of time-dependent viscous incompressible flow of multiple liquids. As in any numerical method, however, it has its weaknesses, namely, for flows in which the capillary force is the dominant physical mechanism. The lack of convergence with spatial refinement, or convergence to a solution that is slightly different from the exact solution, has been documented in the literature. A well-known limiting case for this is the existence of spurious currents for the simulation of a spherical drop with zero initial velocity. These currents are present in all previous versions of VOF algorithms. In this paper, we develop an accurate representation of the body force due to surface tension, which effectively eliminates spurious currents. We call this algorithm PROST: parabolic reconstruction of surface tension. There are several components to this procedure, including the new body force algorithm, improvements in the projection method for the Navier-Stokes solver, and a higher order interface advection scheme. The curvature to the interface is calculated from an optimal fit for a quadratic approximation to the interface over groups of cells.
Homepage: http://www.sciencedirect.com/science/article/pii/S0021999102971901
Keywords: volume-of-fluid method; continuous surface force; multiphase flow
Related Software: Gerris; SLIC; KRAKEN; VOFTools; OpenFOAM; NASA-VOF2D; InterFOAM; RIPPLE; voFoam; Gmsh; PETSc; FLUENT; p4est; FELSOS; ALBERTA; FEATFLOW; hypre; SOLA-VOF; Keras; TensorFlow
Referenced in: 168 Publications
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Referenced by 356 Authors

8 Renardy, Yuriko Yamamuro
7 Afkhami, Shahriar
6 López, Joaquín
5 Francois, Marianne M.
5 Hernández, Juan José
5 Popinet, Stéphane
5 Sussman, Mark
5 Tomar, Gaurav
4 Caboussat, Alexandre
4 Gibou, Frédéric
4 Gomez, Pablo
4 Kim, Junseok
4 Zaleski, Stéphane
3 Ashgriz, Nasser
3 Biswas, Gautam
3 Cardinaels, Ruth
3 Cristini, Vittorio
3 Denner, Fabian
3 Faura, Félix
3 Fuchs, László
3 Fuster, Daniel
3 Kothe, Douglas B.
3 Lowengrub, John Samuel
3 Moldenaers, Paula
3 Mostaghimi, Javad
3 Nürnberg, Robert
3 Shirani, Ebrahim
3 van Wachem, Berend G. M.
3 Xiao, Feng
3 Zanzi, Claudio
2 Barrett, John William
2 Bruchon, Julien
2 Buscaglia, Gustavo Carlos
2 Bussmann, Markus
2 Cifani, Paolo
2 Drapier, Sylvain
2 Evrard, Fabien
2 Garcke, Harald
2 Geurts, Bernard J.
2 Herrmann, Marcus
2 Ito, Kei
2 James, Ashley J.
2 Jofre, Lluís
2 Juric, Damir
2 Kuerten, J. G. M.
2 Kunugi, Tomoaki
2 Larios-Cárdenas, Luis Ángel
2 Le Chenadec, Vincent
2 Lee, Hyun Geun
2 Legendre, Dominique
2 Lörstad, Daniel
2 Luo, Lishi
2 Manservisi, Sandro
2 Marić, Tomislav
2 Muñoz, Daniel Pino
2 Ni, Mingjiu
2 Nourgaliev, Robert R.
2 Ohshima, Hiroyuki
2 Ohta, Mitsuhiro
2 Oliva, Assensi
2 Owkes, Mark
2 Picasso, Marco
2 Pitsch, Heinz
2 Raessi, Mehdi
2 Saito, Kozo
2 Salazar, Abraham J.
2 Scardovelli, Ruben
2 Sharma, Ashutosh
2 Shin, Seungwon
2 Sicilian, James M.
2 Srinivasan, Vedanth
2 Tong, Albert Y.
2 Valdivieso, François
2 Verhulst, Kristof
2 Vincent, Stéphane
2 Wang, Zhaoyuan
2 Xie, Bin
2 Yang, Aiming
2 Yang, Xiaofeng
2 Yokoi, Kensuke
2 Zheng, Xiaoming
1 Abadie, T.
1 Abdel-Khalik, S. I.
1 Abgrall, Rémi
1 Aboukhedr, M.
1 Abu-Al-Saud, Moataz O.
1 Agbaglah, Gilou
1 Agnese, Marco
1 Ahmad, Suhail
1 Akkerman, Ido
1 Alam, Sharf
1 An, Ruidong
1 Anderson, Anthony M.
1 Anderson, Patrick D.
1 Aniszewski, Wojciech
1 Antepara, Oscar
1 Anumolu, Lakshman
1 Auguste, Franck
1 Aulisa, Eugenio
1 Ausas, Roberto Federico
...and 256 more Authors

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