Two stream approximation to radiative transfer equation: An alternative method of solution
J.I. Jimenez-Aquinoa and J.R. Varelab
aDepartamento de Física, e-mail: ines@xanum.uam.mx
bDepartamento de Ingeniería de Procesos e Hidráulica, Universidad Autónoma Metropolitana-Iztapalapa Apartado Postal 55-534, C.P. 09340, Mexico, D.F., Mex. e-mail: jrvh@xanum.uam.mx
]]> Recibido el 16 de agosto de 2004;
Abstract
An alternative analytical method of solution to radiative transfer equation in the two-stream approximation is studied. The method is formulated in terms of the diffusion-type equation for radiative transfer associated with the fluxes (irradiances) Fd = F+ — F- and Fs = F+ + F-, where F+ and F- are defined as the upward and downward fluxes respectively. The diffusion-type equations are independent and therefore the method of solution is algebraically easier and faster than that used to solve the two coupled differential equations associated with F+ and F-.
Keywords: F+ upward flux; F- downward flux.
Resumen
Se presenta un método alternativo para la solución anélitica de las ecuaciones que describen la transmisión de radiación en la atmosfera, mediante la aproximación de dos flujos. El método se basa en una formulación de ecuaciones de tipo difusivo asociadas a los flujos (irradiancias) Fd = F+ — F- y Fs = F++ F-, donde F+ y F- se definen como flujos ascendente y descendente respectivamente. Estas ecuaciones resultan ser independientes y en consecuencia se obtiene un método de solución directo.
Descriptores: F+ flujo ascendente; F- flujo descendente.
]]>PACS: 42.68.Db; 42.68Mj
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Acknowledgments
Financial support from Consejo Nacional de Ciencia y Tecnología (CONACYT) México is acknowledged. Proyect 1790P-E9507.
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