Non-Boussinesq exchange flow over topography
ORAL
Abstract
A series of numerical simulations are performed for the ``lock exchange'' problem in a two-dimensional duct, where the density ratio of the two phases is varied between 10 and 1000. A finite volume method based on an adaptive Cartesian grid is used with grid refinement in regions of high vorticity and/or density gradient. The physics of the problem is analyzed in detail, including wave formation, disturbance growth and the influence of the density ratio on flow features. The results are compared with laboratory experiments, DNS, and theoretical predictions (single and double -layer shallow water equations). The effects of introducing an obstacle are also investigated.
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