The slab albedo problem for the triplet scattering kernel with modified FNmethod

Kerntechnik ◽  
2016 ◽  
Vol 81 (6) ◽  
pp. 671-675
Author(s):  
D. Türeci
AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1000-1011
Author(s):  
C. Cercignani ◽  
M. Lampis

2006 ◽  
Vol 16 (05) ◽  
pp. 717-762 ◽  
Author(s):  
CRISTINA COSTANTINI ◽  
THOMAS G. KURTZ

Diffusion approximations are obtained for space inhomogeneous linear transport models with reflection boundary conditions. The collision kernel is not required to satisfy any balance condition and the scattering kernel on the boundary is general enough to include all examples of boundary conditions known to the authors (with conservation of the number of particles) and, in addition, to model the Debye sheath. The mathematical approach does not rely on Hilbert expansions, but rather on martingale and stochastic averaging techniques.


Kerntechnik ◽  
2007 ◽  
Vol 72 (1-2) ◽  
pp. 59-65 ◽  
Author(s):  
R. G. Türeci ◽  
D. Türeci

2004 ◽  
Vol 19 (1) ◽  
pp. 39-45 ◽  
Author(s):  
Srpko Markovic ◽  
Rodoljub Simovic ◽  
Vladan Ljubenov

For the photon transport kernel in form of the Thomson scattering function and a restrictive photon diffusion directed only toward free surface, several exact expressions of back scattered fluxes are demonstrated. The solving approach was established on a lemma proved by Placzek combined with the Fourier analytic inversion technique or the order of scattering method. Albedo problem in case of the homogeneous plane shield of iron subjected to the photons normally incident on the free surface is treated. Comparison of the results obtained by the analytical and Monte Carlo methods for the reflection of 40 and 60 keV photons from iron target confirms the domination of the single scattered photon flux and the strong influence of the scattering function anisotropy in reflection process at low energies.


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