Modons in spherical geometry

Physics

Scientific paper

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Atmospheric Physics, Geophysical Fluids, Solitary Waves, Two Dimensional Flow, Magnetic Poles, Rotating Spheres, Vortices

Scientific paper

Spherical geometry equivalent modons are derived in analytical form, together with the dispersion relationship that related the modon's frequency, spatial extent, and interior wavenumber. Improved kinematic agreement with atmospheric blocking patterns are achieved by equivalent modons in spherical geometry in virtue of increasing asymmetry as the geographic pole is approached. Numerical experiments demonstrating the robustness of spherical modons to background vorticity perturbations, as well as structural augmentations of the governing equation and speculations concerning the use of spherical modons as models of blocking situations with preferential poleward geographic formation mechanisms, are presented.

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