On equivalent diffuse conditions for an internal layer in multislab atmospheric radiation

This paper reports on new discrete ordinates conditions for efficiently solving a set of multislab atmospheric radiation problems characterized by an optically stationary internal layer, i.e. an internal layer whose optical (absorption/scattering) properties and optical thickness do not change from one problem to another in the set. The discrete ordinates conditions reported here are founded in a recently developed spectral nodal method for solving multislab atmospheric radiation problems with anisotropic scattering. We suitably use the optically discretized equations of our recently developed spectral nodal method to derive discrete ordinates diffuse conditions, which model the response—diffuse radiation leaving the layer—of an internal layer to an anisotropic inner source and to diffuse radiation that is incident upon the layer at top and bottom. These conditions can be used to replace an optically stationary internal layer in multislab atmospheric radiation computations, while saving computer resources and without degrading the numerical results.