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Topolnikov A.S. Numerical Modeling of Evolution of Boundary Between Incompressible Gas and Liquid in Two-Dimensional Region Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 4 (2006). 224–236.
2006. Vol. 4. Issue 1, Pp. 224–236
URL: http://proc.uimech.org/uim2006.1.020,en
DOI: 10.21662/uim2006.1.020
Numerical Modeling of Evolution of Boundary Between Incompressible Gas and Liquid in Two-Dimensional Region
Topolnikov A.S.
Institute of Mechanics, Ufa

Abstract

The paper is devoted to numerical modeling of Navier–Stokes equations for incompressible media in the case, when there exist gas and liquid inside the rectangular calculation region, which are separated by interphase boundary. The set of equations for incompressible liquid accounting for viscous, gravitational and surface (capillary) forces is solved by finite-difference scheme on the spaced grid, for description of interphase boundary the ideology of Level Set Method is used. By developed numerical code the set of hydrodynamic problems is solved, which describe the motion of two-phase incompressible media with interphase boundary. As a result of numerical simulation the solutions are obtained, which are in good agreement with existing analytical and experimental solutions.

Keywords

numerical modeling,
finite-difference scheme,
incompressible liquid,
interphase boundary,
surface tension,
Level Set Method