The stationary droplet by Lionel Gamet

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The stationary droplet

The starting cases case can be downloaded here:

Reference OpenFOAM results of the stationary droplet can be found here.

Introduction

This case is a reference test case for Volume-of-Fluid (VoF) simulations. This benchmark configuration allows for quantitative measurements of the spurious currents appearing in VoF simulations. The case consists in a single static droplet in a quiescent liquid under zero gravity. It is a widely used test case in the literature, described by Popinet [1]. More details can be found in the iterature [1,2,3,4,5] and in the article in press of Gamet et al. [6].

Bubble 26 trajectory for isoAdvector iso-Alpha. Courtesy from [4].

References

[1] S. Popinet: An accurate adaptive solver for surface-tension-driven interfacial flows," Journal of Computational Physics, vol. 228, no. 16, pp. 5838-5866, 2009.

[2] M. M. Francois, S. J. Cummins, E. D. Dendy, D. B. Kothe, J. M. Sicilian, and M. W. Williams: A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework," Journal of Computational Physics, vol. 213, no. 1, pp. 141-173, 2006.

[3] S. Popinet: A quadtree-adaptive multigrid solver for the serre-green-naghdi equations," Journal of Computational Physics, vol. 302, pp. 336-358, 2015.

[4] --: Numerical models of surface tension," Annual Review of Fluid Mechanics, vol. 50, pp. 49-75, 2018.

[5] T. Abadie, J. Aubin, and D. Legendre: On the combined effects of surface tension force calculation and interface advection on spurious currents within volume of fluid and level set frameworks," Journal of Computational Physics, vol. 297, pp. 611-636, 2015.

[6] L. Gamet, M. Scala, J. Roenby, H. Scheufler, and J.-L. Pierson: Validation of volume-of-Fluid OpenFOAM isoAdvector solvers using single bubble benchmarks," Submitted to Computers and Fluids, 2020.

[7] H. Scheufler and J. Roenby: Accurate and effcient surface reconstruction from volume fraction data on general meshes," J. Comp. Phys., vol. 383, pp. 1 - 23, 2019.