Eccentric Circumpolar Vortices in a Barotropic Atmosphere

Abstract

Recent investigations (LA SEUR, 1954) have shown that on many occasions the circulation of the middle troposphere possesses a marked eccentricity; i.e., the center of symmetry of the flow is found at a considerable distance from the geographic pole.

RBF-vortex methods for the barotropic vorticity equation on a sphere

“…Barrett [3] constructed and applied such rotated Rossby-Haurwitz waves more than half a century ago. Two decades later, Tribbia and Verkley used rotated spherical harmonics to construct nonlinear modons on the sphere [70,71].…”

“…Evaluate the relative vorticity ζ = ζ abs − cos( θ)3. Compute the vector whose elements are 1/ sin(θ j )4.…”

Interaction of Global-scale Atmospheric Vortices: Modeling based on Hamiltonian Dynamic System of Antipodal Point Vortices on Rotating Sphere

“…To simulate ACA-type modes linear solution of absolute vorticity ( ω ) equation was used in [3] in the β -plane approximation. Corresponding consideration was conducted in [4,[7][8][9] on the rotating sphere of radius R . Equation of ω conservation in spherical coordinates ( ϕ θ , , r…”

“…Solution of equation (1), obtained in [4], as well as in [3], in linear approximation (particularly for description of ACA type modes in the Northern Hemisphere -Icelandic and Aleutian Low, and also Azores and Hawaiian High) has the following form…”

“…In [4], solution of the nonlinear equation ( 1) is obtained generalizing solution (2), (3) (for the case 0 = α in (2), ( 3)) [8,9]. Meanwhile contrary to (2), (3) the axis of covering all atmosphere global-scale vortex does not coincide as in ( 2), (3) with the sphere rotation axis.…”