Journal of Siberian Federal University. Mathematics & Physics / Three-Dimensional Simulation of a Tank Filling With a Viscous Fluid Using the VOF Method

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (6)
Authors
Borzenko, Evgeny I.; Hegaj, Efim I.
Contact information
Borzenko, Evgeny I.: Tomsk State University Tomsk, Russian Federation; ; OCRID: 0000-0001-6264-1776; Hegaj, Efim I.: Tomsk State University Tomsk, Russian Federation; ; OCRID: 0000-0002-7973-9435
Keywords
Newtonian fluid flow; filling of a rectangular channel; free surface; 3D modeling; numerical simulation; VOF method; flow structure
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

Pages
670–677
DOI
10.17516/1997-1397-2020-13-6-670-677
Paper at repository of SibFU
http://elib.sfu-kras.ru/handle/2311/137555