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A novel technique for including surface tension in PLIC-VOF methods. (English) Zbl 1064.76084
Summary: Various versions of volume-of-fluid (VOF) methods have been used successfully for numerical simulation of gas-liquid flows with an explicit tracking of the phase interface. Of these, piecewise-linear interface construction (PLIC-VOF) appears as a fairly accurate, although somewhat more involved variant. Including effects due to surface tension remains a problem, however. The most prominent methods, continuum surface force of J. U. Brackbill et al. [J. Comput. Phys. 100, No. 2, 335–354 (1992; Zbl 0775.76110)] and the method of S. Zaleski and co-workers [Proceedings of the 2nd International Conference on Multiphase Flows, Kyoto, Apr. 3–7, Vol. 2, PT2-1-PT2-12 (1995)], both induce spurious or ‘parasitic’ currents, and only moderate accuracy in regards to determining the curvature. We present here a new method to determine curvature accurately using an estimator function, which is tuned with a least-squares-fit against reference data. Furthermore, we show how spurious currents may be drastically reduced using the reconstructed interfaces from the PLIC-VOF method.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76T10 Liquid-gas two-phase flows, bubbly flows
76D45 Capillarity (surface tension) for incompressible viscous fluids
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