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Automatic multigrid mesh refinement strategy for precise localized stress concentration simulation

Hao Liu 1, 2 Isabelle Ramière 1 Frédéric Lebon 2 
1 LSC - Laboratoire de Simulation du Comportement des Combustibles
SESC - Service d'Etudes de Simulation du Comportement du combustibles : DEN/DEC/SESC
Abstract : The Pellet-Cladding mechanical Interaction (PCI) occurs in Pressurized Water Reactors and might pose a risk to the integrity of the cladding containing the fuel. In this paper, the Local Defect Correction multigrid method (LDC) is performed in order to improve the PCI simulation accuracy. From an initial coarse mesh, this method consists in recursively adding local sub-grids in zones where higher accuracy is required. In order to automatically detect the zones to be refined, the LDC method is coupled with the Zienkiewicz-Zhu a posteriori error estimator. This estimator is based on the stress discontinuities between elements obtained by the finite element method. It provides hence a tool to detect the stress singularity zones. The strategy proposed enables us to automatically refine the mesh around the stress concentration zones and to stop the refinement process when the solution is accurate enough or when the refinement does not improve the solution accuracy anymore. The numerical results on 2D elasticity test cases show the efficiency of this strategy but also the limit of the Zienkiewicz-Zhu a posteriori error estimator.
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Submitted on : Friday, November 25, 2016 - 4:41:36 PM
Last modification on : Friday, February 18, 2022 - 9:28:02 PM
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  • HAL Id : cea-01403300, version 1


Hao Liu, Isabelle Ramière, Frédéric Lebon. Automatic multigrid mesh refinement strategy for precise localized stress concentration simulation. 22ème Congrès Français de Mécanique, Aug 2015, Lyon, France. ⟨cea-01403300⟩



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