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Stabilization techniques for the nonlinear analytic nodal method
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- Authors
- Issue Date
- 1998-09-01
- Publisher
- American Nuclear Society
- Citation
- Nucl. Sci. Eng., 130, 47 (1998)
- Keywords
- Analytic Nodal Method ; Instability ; Hybrid ; Nonlinear Nodal
- Abstract
- The nonlinear analytic nodal method, which is formulated by combining the nonlinear iteration technique and the analytic nodal method (ANM). requires analytic solutions of the two-node problems. When the method is applied to problems that contain near-critical nodes in which there is essentially no net leakage, the two-node ANM solution for such nodes result in highly ill-conditioned matrices and potential numerical instabilities, especially in single precision arithmetic. Two stabilization techniques are introduced to resolve the instability problem by employing alternate basis functions for near-critical nudes. The first uses the exact ANM solution for a critical node, and the second employs the nodal expansion method. Both techniques are shown to perform well; however, the solution accuracy can be mildly sensitive to the criterion used to invoke the stabilized coupling kernel.
- ISSN
- 0029-5639
- Language
- English
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