@inproceedings{54e5e8b99b4b44cf9948d2fddfdc89a1,

title = "A first-order spherical harmonics formulation compatible with the variational nodal method",

abstract = "A spherical harmonics method based upon the first-order transport equation is formulated and implemented into VARIANT [1,2], a variational nodal transport code developed at Argonne National Laboratory. The spatial domain is split into hybrid finite elements, called nodes, where orthogonal polynomial spatial trial functions are used within each node and spatial Lagrange multipliers are used along the node boundaries. The internal angular approximation utilizes a complete odd-order set of spherical harmonics. Along the nodal boundaries, even and odd-order Rumyantsev interface conditions are combined with the spatial Lagrange multipliers to couple the nodes together. The new method is implemented in Cartesian x-y geometry and used to solve a fixed source benchmark problem.",

keywords = "First-order form, Neutron transport, Nodal method, Spherical harmonics, VARIANT, Void node problems",

author = "Smith, {M. A.} and Lewis, {Elmer E} and G. Palmiotti and Yang, {W. S.}",

year = "2004",

month = dec,

day = "1",

language = "English (US)",

isbn = "0894486837",

series = "Proceedings of the PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments",

pages = "1495--1503",

booktitle = "Proceedings of the PHYSOR 2004",

note = "PHYSOR 2004: The Physics of Fuel Cycles and Advanced Nuclear Systems - Global Developments ; Conference date: 25-04-2004 Through 29-04-2004",

}