Note on the Modified Two-Stream Approximation of Sagan and Pollack
نویسنده
چکیده
The modified two-stream approximation is derived from the radiative transfer equation using a two-point gaussian quadrature and neglecting terms of order 2 > 3 in the Legendre expansion of the phase function. The results are compared with the Eddington approximation and with exact results for the special cases of perfect absorption, perfect scattering, and a semi-infinite layer with isotropic scattering.
منابع مشابه
On the Approximation of Pseudo Linear Systems by Linear Time Varying Systems (RESEARCH NOTE)
This paper presents a modified method for approximating nonlinear systems by a sequence of linear time varying systems. The convergence proof is outlined and the potential of this methodology is discussed. Simulation results are used to show the effectiveness of the proposed method.
متن کاملA Note on Belief Structures and S-approximation Spaces
We study relations between evidence theory and S-approximation spaces. Both theories have their roots in the analysis of Dempsterchr('39')s multivalued mappings and lower and upper probabilities, and have close relations to rough sets. We show that an S-approximation space, satisfying a monotonicity condition, can induce a natural belief structure which is a fundamental block in evidence theory...
متن کاملNovel Amine Modified Nanoporous SBA-15 Sorbent for the Removal of H2S from Gas Streams in the Presence of CH4 (RESEARCH NOTE)
A new sorbent has been developed by grafting Hexamethylenetetramine on a mesoporous molecular sieve (SBA-15) by wet impregnation method. This sorbent (Hexamine/SBA-15) has been characterized using N2 physisorption, X-ray diffraction (XRD) at low angles (2θ°) and FT-IR. To investigate the H2S removal capacity of this adsorbent from CH4-containing gas mixtures, the breakthrough tests have been pe...
متن کاملA Collocation Method with Modified Equilibrium on Line Method for Imposition of Neumann and Robin Boundary Conditions in Acoustics (TECHNICAL NOTE)
A collocation method with the modified equilibrium on line method (ELM) forimposition of Neumann and Robin boundary conditions is presented for solving the two-dimensionalacoustical problems. In the modified ELM, the governing equations are integrated over the lines onthe Neumann (Robin) boundary instead of the Neumann (Robin) boundary condition equations. Inother words, integration domains are...
متن کاملA note on approximation conditions, standard triangularizability and a power set topology
The main result of this article is that for collections of entry-wise non-negative matrices the property of possessing a standard triangularization is stable under approximation. The methodology introduced to prove this result allows us to offer quick proofs of the corresponding results of [B. R. Yahaghi, Near triangularizability implies triangularizability, Canad. Math. Bull. 47, (2004), no. 2...
متن کامل