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A Consistency Condition for Wind-Field Reconstruction in a Limited Area and a Harmonic-Cosine Series Expansion
Publisher: American Meteorological Society
Abstract: This paper examines further the problem of deducing the wind field from vorticity and divergence over a limited area with prescribed winds at the boundary. An earlier work showed that the wind field in a limited area can ...
An Equivalent Isobaric Geopotential Height and Its Application to Synoptic Analysis and a Generalized ω Equation in σ Coordinates
Publisher: American Meteorological Society
Abstract: In σ coordinates, a variable ?e(x, y, σ, t) whose horizontal gradient ???e is equal to the irrotational part of the horizontal pressure gradient force is referred to as an equivalent isobaric geopotential height. Its inner ...
A Harmonic-Sine Series Expansion and its Application to Partitioning and Reconstruction Problems in a Limited Area
Publisher: American Meteorological Society
Abstract: A harmonic-sine series expansion for a function in two-dimensional space is proposed to be a sum of two parts. The harmonic part is the solution of the Laplace equation with prescribed boundary values of this function. The ...
Precipitation over Greenland Retrieved by a Dynamic Method and Its Relation to Cyclonic Activity
Publisher: American Meteorological Society
Abstract: In order to calculate the vertical motion over some high mountain regions, such as Greenland, an ?-equation without the quasigeostrophic approximation in σ-coordinates has been developed. A dynamic method for retrieving ...
Modeled Antarctic Precipitation. Part I: Spatial and Temporal Variability
Publisher: American Meteorological Society
Abstract: Surface snow accumulation is the primary mass input to the Antarctic ice sheets. As the dominant term among various components of surface snow accumulation (precipitation, sublimation/deposition, and snow drift), precipitation ...
A Harmonic-Fourier Spectral Limited-Area Model with an External Wind Lateral Boundary Condition
Publisher: American Meteorological Society
Abstract: In comparison to the Tatsumi?s spectral method, the harmonic-Fourier spectral method has two major advantages. 1) The semi-implicit scheme is quite efficient because the solutions of the Poisson and Helmholtz equations are ...
Applications of Bivariate Fourier Series for Solving the Poisson Equation in Limited-Area Modeling of the Atmosphere: Higher Accuracy with a Boundary Buffer Strip Discarded and an Improved Order-Raising Procedure
Publisher: American Meteorological Society
Abstract: ivariate Fourier series have many benefits in limited-area modeling (LAM), weather forecasting, and meteorological data analysis. However, atmospheric data are not spatially periodic on the LAM domain (?window?), which can ...