Amplitude Factorization Method in the Atmospheric Gravity-Wave Equation

Amplitude Factorization Method in the Atmospheric Gravity-Wave Equation

Year:    2007

Communications in Computational Physics, Vol. 2 (2007), Iss. 5 : pp. 993–1006

Abstract

A novel amplitude factorization method is applied to solve a discrete buoyancy wave equation with arbitrary wind and temperature height distribution. The solution is given in the form of a cumulative product of complex factors, which are computed by a nonlinear, inhomogeneous, two-member recurrence formula, initiated from a radiative condition on top. Singularities of the wave equation due to evanescent winds are eliminated by turbulent friction. The method provides an estimation of the minimal vertical resolution, required to attain a stable accurate solution. The areas of application of the developed numerical scheme are high resolution modelling of orographic waves for arbitrary orography in general atmospheric stratification conditions, and testing of adiabatic kernels of numerical weather prediction models. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-CiCP-7935

Communications in Computational Physics, Vol. 2 (2007), Iss. 5 : pp. 993–1006

Published online:    2007-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords: