Thin-cell limit for the spatial weights of the arbitrarily high order transport-nodal method
- Oak Ridge National Lab., TN (United States)
- Bariloche Atomic Center (Argentina). Inst. Balseiro
The arbitrarily high order transport method of the nodal type (AHOT-N) has been proposed and demonstrated as a means for obtaining highly accurate solutions to benchmark problems. Recently, a modified AHOT-N was utilized in connection with an error estimator to implement an adaptive order method wherein the spatial approximation order is increased in regions where the error estimate is larger than a user-specified criterion. In addition to raising the prospect of AHOT-N becoming a practical computational tool, the latter study exposed potential numerical difficulties in computing the spatial weights of AHOT-N especially in optically thin cells and high orders. In this paper the authors derive the asymptotic limit for the AHOT-N spatial weights as the cell optical thickness approaches zero and demonstrate its utility in cases where the full expression of the spatial weights is inaccurate.
- OSTI ID:
- 644258
- Report Number(s):
- CONF-980606--
- Journal Information:
- Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 78; ISSN 0003-018X; ISSN TANSAO
- Country of Publication:
- United States
- Language:
- English
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