Multigroup CN method—I. Half-space albedo problem

1996 ◽  
Vol 23 (13) ◽  
pp. 1033-1047 ◽  
Author(s):  
P. Benoist ◽  
A. Kharchaf ◽  
R. Sanchez
Keyword(s):  
Half Space ◽  
Albedo Problem

Half-space albedo problem for the Anlı-Güngör scattering function

Kerntechnik ◽  
2022 ◽  
Vol 0 (0) ◽  
Author(s):  
Ali Zafer Bozkır ◽  
Recep Gökhan Türeci ◽  
Dinesh Chandra Sahni
Keyword(s):  
Transport Equation ◽  
Half Space ◽  
Legendre Polynomials ◽  
Neutron Transport ◽  
Homogeneous Medium ◽  
Second Order ◽  
Scattering Function ◽  
Neutron Transport Equation ◽  
Albedo Problem ◽  
Svd Method

Abstract One speed, time-independent and homogeneous medium neutron transport equation is solved for second order scattering using the Anlı-Güngör scattering function which is a recently investigated scattering function. The scattering function depends on Legendre polynomials and the t parameter which is defined on the interval [−1,  1]. A half-space albedo problem is examined with the FN method and the recently developed SVD method. Albedo values are calculated with two methods and tabulated. Thus, the albedo values for the Anlı-Güngör scattering are compared with these methods. The behaviour of the scattering function is similar to İnönü’s scattering function according to calculated results.

On a technique for deriving explicit transfer matrices of orthotropic layers

2015 ◽  
Vol 37 (4) ◽  
pp. 303-315 ◽  
Author(s):  
Pham Chi Vinh ◽  
Nguyen Thi Khanh Linh ◽  
Vu Thi Ngoc Anh
Keyword(s):  
Wave Propagation ◽  
Explicit Form ◽  
Half Space ◽  
Transfer Matrix ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Transfer Matrices ◽  
Orthotropic Layer ◽  
Wave Propagation Problem ◽  
Arbitrary Thickness

This paper presents  a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.

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