Weekly Seminar: Fall 2012
Speaker: Nathan Paldor (The Hebrew University in Jerusalem)
Title: "New Solutions of Laplace Tidal Equations over a Sphere"
Date: Friday, October 19, 2012
Time: 11:00 a.m.
Location: Gilman Hall 50 (Marjorie M. Fisher Hall)
Though Laplace Tidal Equations (LTE) were formulated correctly nearly 250 years ago explicit expressions for zonally propagating waves solutions of these equations have not been found and the currently available information on these waves is given in terms of numerical solutions or infinite series (Hough Functions). For parameter values that typify planet earth, however, an approximate eigenvalue (time-independent Schrodinger) equation can be formulated from the LTE which yields highly accurate approximate solutions for both the phase speeds and the meridional variation of these wave solutions. The various wave solutions are easily classified to Planetary (Rossby) waves and Inertia-Gravity (Poincare) waves according to the (absolute) value of the phase speed while Kelvin waves are associated with a singular point of the eigenvalue equation. The new theory has potential applications in the interpretations of altimetric observations from satellites of the westward propagation of Sea Surface Height features and for the construction of analytic test cases for assessing the accuracy of global GCMs.
Nathan Paldor is Professor of the Dynamical Meteorology and Physical Oceanography with the Hebrew University in Jerusalem, Earth Science institute. His research interests encompass the application of linear instability in geophysical fluid dynamics; Dispersal of passive scalars in the atmosphere and ocean; The role of angular momentum in geophysical fluid dynamics; Hamiltonian chaos and nonlinear dynamics in geophysical mechanics; Mechanics and fluid dynamics on a rotating sphere; The general circulation and heat budget of the Gulf of Elat; and the Zonally propagating waves on a sphere.