Interface Conditions for Spherical Harmonics Methods
Journal Article
·
· Nuclear Science and Engineering
- Argonne National Laboratory (United States)
- Northwestern University (United States)
A set of interface conditions is derived rigorously for the general spherical harmonics solution of the Boltzmann transport equation in three-dimensional Cartesian geometry. The derivation builds upon earlier work of Davidson and Rumyantsev to arrive at sets of interface conditions applicable to both even- and odd-order N spherical harmonics approximations. The exact set of conditions is compared to the approximate set currently employed in the odd-order N variational nodal code VARIANT, and the differences in accuracy and computational effort are summarized. The exact interface conditions are necessary for first-order implementations of spherical harmonics methods.
- OSTI ID:
- 20808447
- Journal Information:
- Nuclear Science and Engineering, Journal Name: Nuclear Science and Engineering Journal Issue: 3 Vol. 150; ISSN NSENAO; ISSN 0029-5639
- Country of Publication:
- United States
- Language:
- English
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