Abstract

The lattice vortex method (LVM) is used to simulate density stratified flow fields. The point sink flow and the flows past an obstacle (a plate and a semicircular ridge) in a channel of finite depth are calculated. The numerical results agree well with the analytical ones, which indicates that the vortex method is suitable for the simulation of stratified flows. With the LVM, the formation of blocking and lee waves in a stratified flow can be explained clearly and easily. Furthermore, the blocking phenomena and the lee waves are simulated. The blocking area is formed by the development of several eddy regions of cell structures in the stagnant region which are propagated upstream. The lee wave is formed by the columnar disturbances which arise from an isolated source (an obstacle) and are propagated upstream and downstream due to the movement of generated vortices in a stratified flow.

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