Axisymmetric Liquid Sloshing under Low-g Conditions: Numerical Simulation Method. Reference Manual

摘要

A mathematical model is presented for the description of axisymmetric three-dimensional transient flow of a viscous liquid in a partially filled cylindrical container under low gravity conditions. The mathematical model consists of the Navier-Stokes equations with either no-slip condition at the solid boundaries, and with the continuity of stresses condition at the free liquid boundary. The numerical method by which these equations are descretized and solved, is a Eulerian finite difference method. It is a member of the Marker-and-Cell family in combination with the volume-of-fluid method for tracking in liquid region. The numerical method is implemented in a computer program SAVOF. This report, the reference manual of the computer program SAVOF, gives a detailed description of the numerical method. In a few examples, some possibilities of SAVOF are demonstrated with respect to the motion of the container and the large displacements of the liquid.