Calculation of symmetric and nonsymmetric drainage of a liquid from a volume on the basis of the Navier-Stokes equations

Abstract

For numerical simulation of drainage of a liquid from a volume of arbitrary cross section the Navier-Stokes equations for an incompressible liquid are used. Formulation of and an algorithm for solution of the initial-boundary-value problem and results of calculations of drainage from symmetric and nonsymmetric volumes are considered. Isolines of the Cartesian velocity components, distributions of the velocity vectors, and the position of the free surface for different moments of time are presented. Calculations are performed within the framework of a package of applied programs developed by the author for solving the of Euler and Navier-Stokes equations.