Comparison of simplified and standard spherical harmonics in the variational nodal method
- Northwestern Univ., Evanston, IL (United States)
- Argonne National Laboratory-West, Idaho Falls, ID (United States)
Recently, the variational nodal method has been extended through the use of the Rumyantsev interface conditions to solve the spherical harmonics (P{sub N}) equations of arbitrary odd order. Here, we generalize earlier x-y geometry work to fit the corresponding simplified spherical harmonics (SP{sub N}) equations into the variational nodal framework. Both Pv and SP{sub N} approximations are implemented in the multigroup VARIANT code at Argonne National Laboratory in two- and three-dimensional Cartesian and hexagonal geometries. The availability of angular approximations through P{sub 5} and SP{sub 5}, and of flat, linear, and quadratic spatial interface approximations allows investigation of both spatial truncation and angular approximation errors. Moreover, the SP{sub 3} approximation offers a cost-effective method for reducing transport errors.
- OSTI ID:
- 411645
- Report Number(s):
- CONF-951006--
- Journal Information:
- Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 73; ISSN 0003-018X; ISSN TANSAO
- Country of Publication:
- United States
- Language:
- English
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