Abstract
This work introduces an extension of the even-odd parity flux formulation to the treatment of anisotropic scattering with the finite element formulation. To keep a similar form to the even parity transport equation in the isotropic case, we define a `direction-dependent cross section`. We have only two unknown functions (the even parity flux, and the direction dependent cross section), that are calculated via an iterative process. We consider the multigroup equation for the eigenvalue problem and we present some numerical tests to prove the effectiveness of this method.
Citation Formats
Akherraz, B, Fedon-Magnaud, C, and Lautard, J J.
An anisotropic scattering treatment for the even parity transport equation.
France: N. p.,
1993.
Web.
Akherraz, B, Fedon-Magnaud, C, & Lautard, J J.
An anisotropic scattering treatment for the even parity transport equation.
France.
Akherraz, B, Fedon-Magnaud, C, and Lautard, J J.
1993.
"An anisotropic scattering treatment for the even parity transport equation."
France.
@misc{etde_10154484,
title = {An anisotropic scattering treatment for the even parity transport equation}
author = {Akherraz, B, Fedon-Magnaud, C, and Lautard, J J}
abstractNote = {This work introduces an extension of the even-odd parity flux formulation to the treatment of anisotropic scattering with the finite element formulation. To keep a similar form to the even parity transport equation in the isotropic case, we define a `direction-dependent cross section`. We have only two unknown functions (the even parity flux, and the direction dependent cross section), that are calculated via an iterative process. We consider the multigroup equation for the eigenvalue problem and we present some numerical tests to prove the effectiveness of this method.}
place = {France}
year = {1993}
month = {Jun}
}
title = {An anisotropic scattering treatment for the even parity transport equation}
author = {Akherraz, B, Fedon-Magnaud, C, and Lautard, J J}
abstractNote = {This work introduces an extension of the even-odd parity flux formulation to the treatment of anisotropic scattering with the finite element formulation. To keep a similar form to the even parity transport equation in the isotropic case, we define a `direction-dependent cross section`. We have only two unknown functions (the even parity flux, and the direction dependent cross section), that are calculated via an iterative process. We consider the multigroup equation for the eigenvalue problem and we present some numerical tests to prove the effectiveness of this method.}
place = {France}
year = {1993}
month = {Jun}
}