Comparison of simplified and standard spherical harmonics in the variational nodal method
- Northwestern Univ., Evanston, IL (United States)
- Argonne National Lab., IL (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. In this paper, the authors generalize earlier x-y geometry work to fit the corresponding simplified spherical harmonics (SP{sub N}) equations into the variational nodal framework. Both P{sub N} 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.
- Research Organization:
- Argonne National Lab., IL (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 201760
- Report Number(s):
- ANL/RA/SUMM--86830; CONF-951006--35; ON: DE96005275
- Country of Publication:
- United States
- Language:
- English
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