A three-dimensional cell-based volume-of-fluid method for conservative simulations of primary atomization

This paper presents an improvement of the three-dimensional unsplit cell-based advection scheme of Le Chenadec and Pitsch [J. Comput. Phys. 233 (2013) 10-33] [27], which was shown to be prone to conservation errors. The improved method ensures discrete conservation by introducing a correction of the projected cells, which is similar to the three-dimensional cell-based method of Comminal and Spangenberg [J. Comput. Phys. 442 (2021) 110479] [28], developed in parallel to this work. While the cell projection is performed as in the method of Le Chenadec and Pitsch, additional vertices are introduced to correct the projected cells. The positions of those are obtained from conservative flux volumes, which was inspired from the work of Owkes and Desjardins [J. Comput. Phys. 270 (2014) 587-612] [25]. The improved method is tested in two- and three-dimensional benchmark cases and compared to literature methods. Moreover, the improved method is applied in the simulation of a realistic coaxial liquid-gas primary atomization case, which suffered from large conservation errors when the method of Le Chenadec and Pitsch was applied.

Mass conservation, Primary atomization, Unsplit interface advection, Volume-of-fluid

10.1016/j.jcp.2022.111374

0021-9991

Fröde, Fabian

24ef5242-a667-4d7b-b78a-cbc11748a496

Grenga, Temistocle

be0eba30-74b5-4134-87e7-3a2d6dd3836f

Le Chenadec, Vincent

a176c456-d938-4ff5-a681-83f28935ab32

Bode, Mathis

50cb6909-eaa8-4a7c-b24e-5be18240a6a5

Pitsch, Heinz

3dc0eb6e-deca-4742-98a1-f0cdd62ff8b8

14 June 2022

Fröde, Fabian

24ef5242-a667-4d7b-b78a-cbc11748a496

Grenga, Temistocle

be0eba30-74b5-4134-87e7-3a2d6dd3836f

Le Chenadec, Vincent

a176c456-d938-4ff5-a681-83f28935ab32

Bode, Mathis

50cb6909-eaa8-4a7c-b24e-5be18240a6a5

Pitsch, Heinz

3dc0eb6e-deca-4742-98a1-f0cdd62ff8b8

Fröde, Fabian, Grenga, Temistocle, Le Chenadec, Vincent, Bode, Mathis and Pitsch, Heinz (2022) A three-dimensional cell-based volume-of-fluid method for conservative simulations of primary atomization. Journal of Computational Physics, 465 (9), [111374]. (doi:10.1016/j.jcp.2022.111374).

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Accepted/In Press date: 6 June 2022

e-pub ahead of print date: 8 June 2022

Published date: 14 June 2022

Additional Information: Funding Information: The authors gratefully acknowledge funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through SPP1980 (Project number 375857587 ) and by the European Union's Horizon 2020 research and innovation program under the Center of Excellence in Combustion (CoEC) project (Grant agreement number 952181 ). Moreover, the authors gratefully acknowledge the computing time granted by the NHR4CES Resource Allocation Board and provided on the supercomputer CLAIX at RWTH Aachen University as part of the NHR4CES infrastructure. The calculations for this research were conducted with computing resources under the project p0020069 .

Keywords: Mass conservation, Primary atomization, Unsplit interface advection, Volume-of-fluid