A new perspective on some approximations used in neutron transport modeling

Hanuš, Milan

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 81-87

Abstract

top
In this contribution, we will use the Maxwell-Cartesian spherical harmonics (introduced in [1,2]) to derive a system of partial differential equations governing transport of neutrons within an interacting medium. This system forms an alternative to the well known P N approximation, which is based on the expansion of the directional dependence into tesseral spherical harmonics ([3,p.197]). In comparison with this latter set of equations, the Maxwell-Cartesian system posesses a much more regular structure, which may be used for various simplifications that could be advantageous from computational point of view.

How to cite

top

Hanuš, Milan. "A new perspective on some approximations used in neutron transport modeling." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2013. 81-87. <http://eudml.org/doc/271381>.

@inProceedings{Hanuš2013,
abstract = {In this contribution, we will use the Maxwell-Cartesian spherical harmonics (introduced in [1,2]) to derive a system of partial differential equations governing transport of neutrons within an interacting medium. This system forms an alternative to the well known $P_N$ approximation, which is based on the expansion of the directional dependence into tesseral spherical harmonics ([3,p.197]). In comparison with this latter set of equations, the Maxwell-Cartesian system posesses a much more regular structure, which may be used for various simplifications that could be advantageous from computational point of view. },
author = {Hanuš, Milan},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {spherical harmonics; transport of neutrons},
location = {Prague},
pages = {81-87},
publisher = {Institute of Mathematics AS CR},
title = {A new perspective on some approximations used in neutron transport modeling},
url = {http://eudml.org/doc/271381},
year = {2013},
}

TY - CLSWK
AU - Hanuš, Milan
TI - A new perspective on some approximations used in neutron transport modeling
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2013
CY - Prague
PB - Institute of Mathematics AS CR
SP - 81
EP - 87
AB - In this contribution, we will use the Maxwell-Cartesian spherical harmonics (introduced in [1,2]) to derive a system of partial differential equations governing transport of neutrons within an interacting medium. This system forms an alternative to the well known $P_N$ approximation, which is based on the expansion of the directional dependence into tesseral spherical harmonics ([3,p.197]). In comparison with this latter set of equations, the Maxwell-Cartesian system posesses a much more regular structure, which may be used for various simplifications that could be advantageous from computational point of view.
KW - spherical harmonics; transport of neutrons
UR - http://eudml.org/doc/271381
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.