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A two-streams discrete ordinates solution of radiative transfer in 1-D spherical geometry
Charles H Aboughantous
The analytic solution for the two-streams discrete ordinates equations is carried out on the spatial domain in one-dimensional spherical geometry. The solution satisfies all the ph…
A discrete ordinates method of radiative transfer in one-dimensional spherical geometry
Charles H. Aboughantous
A new set of discrete ordinates is proposed for one-dimensional radiative transfer in spheres with central symmetry. The set is structured with un-normalized circular functions. Th…
Inverse square law for the starter intensity of the discrete ordinates method in spherical geometry
Charles H. Aboughantous
The angular derivative of the standard form of the transfer equation is shown to have a non-zero value for the radiation normal incidence. This is demonstrated by a rigorous proof.…
On the validity of the discrete ordinates method in spherical geometry
Charles H. Aboughantous
The discrete ordinates method with angular parameters is discussed in light of the recent extension of its underlying hypothesis. The analysis shows that the method, although it co…