Volume 2, Issue 5
Amplitude Factorization Method in the Atmospheric Gravity-Wave Equation

R. Rõõm & M. Zirk

DOI:

Commun. Comput. Phys., 2 (2007), pp. 993-1006.

Published online: 2007-02

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  • 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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@Article{CiCP-2-993, author = {}, title = {Amplitude Factorization Method in the Atmospheric Gravity-Wave Equation}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {5}, pages = {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. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7935.html} }
TY - JOUR T1 - Amplitude Factorization Method in the Atmospheric Gravity-Wave Equation JO - Communications in Computational Physics VL - 5 SP - 993 EP - 1006 PY - 2007 DA - 2007/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7935.html KW - AB -

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. 

R. Rõõm & M. Zirk. (2020). Amplitude Factorization Method in the Atmospheric Gravity-Wave Equation. Communications in Computational Physics. 2 (5). 993-1006. doi:
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