A Robust Numerical Method For The Two-dimensional Standing-wave
In A Tank With A Free-surface Movement
Author(s)
Y. K. Suh
Abstract
A robust numerical method for the
two-dimensional standing-wave in a tank
with a free-surface movement
Y. K. Suh
Division of Mechanical and Industrial System Engineering,
Dong-A University, Republic of Korea
Abstract
In this paper, a robust numerical method for computation of the two-dimensional
Navier-Stokes equations for the decaying motion of an incompressible fluid
within a rectangular container having a free surface is presented. The free surface
properties including the surface dilatational viscosity as well as the surface shear
viscosity dictated by a surfactant are considered in the simulation. The
computational grid system is composed of vertical grid lines which are fixed
during the computation and their pairs which are nearly horizontal and adaptive
to the deforming free-surface. The primary interest in this study lies in the
damping rate of the wave's natural motion. For this end, the side and bottom
walls are set with slip conditions, so that the damping is determined only by
dis
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