A goal-oriented and self-adaptive mesh refinement approach for the even parity neutron transport equation. (January 2020)

• Record Type: Journal Article
• Authors: Yousefi, Mostafa; Zolfaghari, A.; Minuchehr, A.; Abbassi, M.R.
• Is Part Of: Progress in nuclear energy. Volume 119(2020)
• Publication Date: 2020-01
• Subjects: Adaptive mesh refinement -- A posteriori error estimates -- Goal-oriented h-refinement -- Neutron transport equation -- Adjoint function; Nuclear energy -- Periodicals; Nuclear engineering -- Periodicals; 333.7924
• DOI: 10.1016/j.pnucene.2019.03.012
• Languages: English
• ISSNs: 0149-1970

Abstract

Abstract: This survey focuses on a goal-oriented approach for the adaptive mesh refinement (AMR) of even parity neutron transport equation on the unstructured triangular or quadrilateral grids. Two a posteriori error estimates are compared for conducting the refinement process. User specified quantity of interest is set as the source in the adjoint equation to obtain a map of importance for steering the AMR procedure toward the desired computational target. Both forward and adjoint even parity equations are solved and the discontinuity of the flux gradient across the border of an element is used for the evaluation of element's error. The self-adaptivity is provided through a fully automated cycle in which the h -refinement is performed until the error in the quantity of interest drops below a user prescribed threshold. Several numerical test cases are investigated to assess the performance of the proposed approach in both fixed source and eigenvalue search problems against uniform mesh refinement.