Abstract: This paper discusses the impact of data noise on the accuracy of derivatives obtained by differentiating a Fourier series of an observed dataset. It is first brought to the fore that the kth component of the energy density ...

Abstract: A method for the solution of Poisson's equation on the surface of a sphere is given. The method makes use of truncated double Fourier series expansions on the sphere and invokes the Galerkin approximation. It has an operation ...

Abstract: A unified derivation for three known expressions for the Fourier decomposition of a scalar function on spheres is presented. The expressions are put in a common framework for easy comparison and are contrasted in a table. ...

Abstract: In NWP models using energy-conserving finite-difference approximations in the vertical, the imposition of different constraints of the discrete energy equation leads to different forms of the hydrostatic equation. This ...

Abstract: Severe weather often emanates from thunderstorms that have persistent, well organized, rotating updrafts. These rotating updrafts, which are generally referred to as mesocyclones, appear as couplets of incoming and outgoing ...

Abstract: The nondivergent barotropic vorticity equation on a sphere supplies the framework for a series Of experiments designed to study the suitability of numerical methods commonly used in the modeling and prediction of the ...

Abstract: Results are presented from an analysis of variance as a function of horizontal scale. The normalized difference-field spectra of kinetic energy, temperature, vapor mixing ratio, and cloud-water mixing ratio were computed ...