scholarly journals Use of Discrete-Ordinates Methods for Solution of Photon Transport Problems

1966 ◽  
Vol 24 (4) ◽  
pp. 381-388 ◽  
Author(s):  
K. D. Lathrop
Keyword(s):  
Discrete Ordinates ◽  
Photon Transport ◽  
Transport Problems

Two-Dimensional Discrete Ordinates Photon Transport Calculations for Brachytherapy Dosimetry Applications

2000 ◽  
Vol 134 (2) ◽  
pp. 121-134 ◽  
Author(s):  
George M. Daskalov ◽  
Randal S. Baker ◽  
Robert C. Little ◽  
David W. O. Rogers ◽  
Jeffrey F. Williamson
Keyword(s):  
Discrete Ordinates ◽  
Two Dimensional ◽  
Photon Transport

Variational Approach in Transport Theory

2004 ◽  
Author(s):  
Rube´n Panta Pazos ◽  
Marco Tu´llio de Vilhena
Keyword(s):  
Variational Approach ◽  
Transport Theory ◽  
Neutron Transport ◽  
Specular Reflection ◽  
Adjoint Equations ◽  
Discrete Ordinates ◽  
Neutron Transport Equation ◽  
Bounded Set ◽  
Transport Problems ◽  
Complementary Subset

In this work we present a variational approach to some methods to solve transport problems of neutral particles. We consider a convex domain X (for example the geometry of slab, or a convex set in the plane, or a convex bounded set in the space) and we use discrete ordinates quadrature to get a system of differential equations derived from the neutron transport equation. The boundary conditions are vacuum for a subset of the boundary, and of specular reflection for the complementary subset of the boundary. Recently some different approximation methods have been presented to solve these transport problems. We introduce in this work the adjoint equations and the conjugate functions obtained by means of the variational approach. First we consider the general formulation, and then some numerical methods such as spherical harmonics and spectral collocation method.

Progress in spectral nodal methods applied to discrete ordinates transport problems

1998 ◽  
Vol 33 (1-2) ◽  
pp. 117-154 ◽  
Author(s):  
Ricardo C. Barros ◽  
Musa Yavuz ◽  
Marcos P. de Abreu ◽  
Hermes Alves Filho ◽  
JoséAntônio M. Mello
Keyword(s):  
Discrete Ordinates ◽  
Transport Problems ◽  
Nodal Methods
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