Tropical Cyclone Motion 1 Tropical cyclones move approximately with a suitably defined vertical vector average o off the flow in which they are embedded 2 3 4 35 50 Latitude 30 40 25 30 20 20 15 145 150 155 Longitude 5 160 165 Lagrangian chaos: 6 Vortices in PV gradients: 7 Baroclinic vortices in shear: A simp simple model • Two layers, with i h zero eff ffectiive PV gradient, di but upper layer moving with respect to lower layer • Lower layer contains point potential vortex vortex, whose circulation projects outward and upward • Upper layer has point source of zero PV air co-located with lower point vortex; zero PV air separated from surroundings by a single, expanding contour • Flow owing to upper level PV anomaly solved by contour dynamics (From Wu and (F dE Emanuell, 1993) 8 Lower (left) and upper (right) flows for zero shear: 9 Evolution of upper layer vortex patch when weak shear is present 10 Evolution of upper layer vortex patch when moderate shear is present 11 Evolution of upper layer vortex patch when strong shear is present 12 13 Operational prediction of tropical cyclone tracks: 14 Examp ple: 20 random tracks passing g within 100 km of Boston 15 20 “worst” tracks: 16 MIT OpenCourseWare http://ocw.mit.edu Spring 20 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. 17