Abstract
Numerical investigations are made of establishment of two-dimensional selective withdrawal through a line sink of a linearly stratified Boussinesq fluid in a finite-depth duct. The flow is mainly characterized by a Froude number. When the Froude number is small, the internal wave modes of horizontal wavenumber and frequency 0 which are also called columnar disturbances propagate horizontally upstream against the induced uniform velocity and the selective withdrawal is established. We introduce the new method to specify the propagation of internal wave mode from numerically obtained velocity distribution. Using this method, we investigate its behavior especially focusing our attention on its vertical structure, amplitude and horizontal group velocity. The numerical results show that the amplitude becomes smaller as the Froude number or the mode number increases, and the group velocity of higher modes is inversely proportional to the mode number.
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