P.V.Lukianov
Evolution of "vortex inside vortex'' pair in a layer of stable stratified fluid

Applied hydromechanics, Vol. 12 (84) ¹ 2, (2010) p.58-69
Taking into account Coriolis force, a joint evolution of two vortexes one of which is inside other in finite depth linear stratified fluid layer has been numerically investigated in the paper. Typical examples are given. Depending on different non-dimensional parameters, typical situations are obtained: smaller vortex rotation around larger one when smaller vortex decays faster than larger one; the "circling - anti-circling'' dependence that is in the case of different rotation results into larger vortex radial structure's changing; joint evolution of vortexes with the same order of scales leads to complex picture of vorticity field's transformation; joint effect of planetary rotation and disturbing of larger vortex by smaller one leads to monopole's transformation to tripole depending on relationship between energies of smaller and larger vortexes and their position (horizon) in layer. Horizontal scale of larger vortex varied from few hundreds to several kilometers and vertical scales set in the range from few dozens to few hundreds of meters. Mathematical simulation is based on known models of turbulent diffusion and numerical realization done by finite differences.
KEY WORDS:
finite thickness layer, vorticity field, vortex radial structure
TEXT LANGUAGE: Russian