@inproceedings{a873fa7e756246e7ab40f049da799386,
title = "Filtered spherical harmonics methods for transport problems",
abstract = "We present a new way of using spherical harmonics expansions to solve transport problems. Our approach uses filtered expansions to give positive solutions and reduce wave effects in the solutions. We present two specific filters: one based on maintaining positivity in a P1 expansion, and the other that is a function of the total cross-section and the order of the expansion. We compare solutions using our filtered expansions to the standard spherical harmonics expansions, Monte Carlo, diffusion, discrete or-dinates, and analytic transport solutions. These numerical results suggest that our filtered expansions give solutions that are comparable to other methods in terms of accuracy. Additionally, we point out how filtered spherical harmonics expansions could be improved.",
keywords = "Particle transport, Spherical harmonics",
author = "McClarren, {Ryan G.} and Hauck, {Cory D.} and Lowrie, {Robert B.}",
year = "2009",
language = "English",
isbn = "9781615673490",
series = "American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009",
pages = "3422--3435",
booktitle = "American Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009",
note = "International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 ; Conference date: 03-05-2009 Through 07-05-2009",
}