Goal based mesh adaptivity for fixed source radiation transport calculations
| Autor: | Mark A. Goffin, P. Warner, S.R. Merton, Andrew G. Buchan, Christopher Baker, Brendan Tollit, C. C. Pain |
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| Rok vydání: | 2013 |
| Předmět: |
Mathematical optimization
Neutron transport Discretization Scale (ratio) 020209 energy Detector 02 engineering and technology Residual 01 natural sciences Ellipsoid Finite element method 010305 fluids & plasmas Nuclear Energy and Engineering 0103 physical sciences Electromagnetic shielding 0202 electrical engineering electronic engineering information engineering Algorithm Mathematics |
| Zdroj: | Annals of Nuclear Energy. 55:169-183 |
| ISSN: | 0306-4549 |
| Popis: | In this paper, the application of goal based error measures for anisotropic adaptivity applied to shielding problems in which a detector is present is explored. Goal based adaptivity is important when the response of a detector is required to ensure that dose limits are adhered to. To achieve this, a dual (adjoint) problem is solved which solves the neutron transport equation in terms of the response variables, in this case the detector response. The methods presented can be applied to general finite element solvers, however, the derivation of the residuals are dependent on the underlying finite element scheme which is also discussed in this paper. Once error metrics for the forward and adjoint solutions have been formed they are combined using a novel approach. The two metrics are combined by forming the minimum ellipsoid that covers both the error metrics rather than taking the maximum ellipsoid that is contained within the metrics. Another novel approach used within this paper is the construction of the residual. The residual, used to form the goal based error metrics, is calculated from the subgrid scale correction which is inherent in the underlying spatial discretisation employed. |
| Databáze: | OpenAIRE |
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