eISSN 2658–5782

DOI 10.21662/mfs

Numerical Modeling of Evolution of Boundary Between Incompressible Gas and Liquid in Two-Dimensional Region
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.

Citation

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.