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.

EUDML-ID : urn:eudml:doc:271381
Mots clés:
Mots clés:

@article{702710,
     title = {A new perspective on some approximations used in neutron transport modeling},
     booktitle = {Programs and Algorithms of Numerical Mathematics},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2013},
     pages = {81-87},
     url = {http://dml.mathdoc.fr/item/702710}
}

Hanuš, Milan. A new perspective on some approximations used in neutron transport modeling, dans Programs and Algorithms of Numerical Mathematics, GDML_Books,  (2013), pp. 81-87. http://gdmltest.u-ga.fr/item/702710/