A solution of nonlinear equation for the gravity wave spectra from Adomian decomposition method: a first approach

• Main Authors: Antonio Gledson Goulart, Davidson Martins Moreira, Luiz Cláudio Pimentel, Jesus Salvador Pérez Guerrero
• Format: Article
• Language: English
• Published: Sociedade Brasileira de Meteorologia 2013-12-01
• Series: Revista Brasileira de Meteorologia
• Subjects: espectro de ondas de gravidade; média atmosfera; método da decomposição
• Online Access: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0102-77862013000400001&lng=en&tlng=en

In this paper, the equation for the gravity wave spectra in mean atmosphere is analytically solved without linearization by the Adomian decomposition method. As a consequence, the nonlinear nature of problem is preserved and the errors found in the results are only due to the parameterization. The results, with the parameterization applied in the simulations, indicate that the linear solution of the equation is a good approximation only for heights shorter than ten kilometers, because the linearization the equation leads to a solution that does not correctly describe the kinetic energy spectra.