Three-dimensional simulation of a tank filling with a viscous fluid using the VOF method

Evgeny I. Borzenko, Efim I. Hegaj

Tomsk State University, Tomsk, Russian Federation

Abstract: This paper presents the results of 3D modeling of a Newtonian fluid flow with a free surface. The PLIC-VOF algorithm, which is developed to solve the problems of two-dimensional fluid flows with a free surface, is generalized to the case of three-dimensional flows. Efficiency of the developed algorithm and reliability of the obtained results are justified by comparing with available data in literature and by testing approximation convergence.
Parametric calculations of a rectangular channel filling show that the free surface assumes a steady convex shape over time and then moves along the channel at a constant velocity. As a result of parametric studies, the dependences of geometric characteristics of the free surface shape on problem parameters have been plotted.

Keywords: Newtonian fluid flow, filling of a rectangular channel, free surface, 3D modeling, numerical simulation, VOF method, flow structure.

UDC: 532.542

Received: 13.06.2020
Received in revised form: 04.09.2020
Accepted: 04.10.2020

Language: English

DOI: 10.17516/1997-1397-2020-13-6-670-677

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