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Finite-Amplitude Wave-Activity Invariants and Nonlinear Stability Theorems for Shallow Water Semigeostrophic Dynamics
Publisher: American Meteorological Society
Abstract: Motivated by the boundary contributions to the wave-activity invariants and stability theorems of a class of Salmon?s L1-like Hamiltonian balance models, Arnold?s method is applied in this work to derive finite-amplitude ...
Solutions to the 3D Transport Equation and 1D Diffusion Equation for Passive Tracers in the Atmospheric Boundary Layer and Their Applications
Publisher: American Meteorological Society
Abstract: AbstractA solution to the 3D transport equation for passive tracers in the atmospheric boundary layer (ABL), formulated in terms of Green?s function (GF), is derived to show the connection between the concentration and ...
Further Results on the Stability of Rapidly Rotating Vortices in the Asymmetric Balance Formulation
Publisher: American Meteorological Society
Abstract: Two kinds of wave-activity invariants, analogous to the pseudomomentum and pseudoenergy densities in the quasigeostrophic theory, are derived for both three-dimensional baroclinic and two-dimensional barotropic asymmetric ...
Coupling of Wind and Potential Temperature in an Ekman Model in the Stratified Atmospheric Boundary Layer
Publisher: American Meteorological Society
On the Relationship between Incremental Analysis Updating and Incremental Digital Filtering
Publisher: American Meteorological Society
Abstract: Incremental analysis updating (IAU) refers to a method of smoothly inserting instantaneous analysis increments into a numerical model by spreading the increments over a time period. In this work, this method is shown to ...