| Issue |
EPJ Web Conf.
Volume 302, 2024
Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo (SNA + MC 2024)
|
|
|---|---|---|
| Article Number | 02011 | |
| Number of page(s) | 10 | |
| Section | Deterministic Transport Codes: Algorithms, HPC & GPU | |
| DOI | https://doi.org/10.1051/epjconf/202430202011 | |
| Published online | 15 October 2024 | |
https://doi.org/10.1051/epjconf/202430202011
Adaptive solution of the domain decomposition+L2-jumps method applied to the neutron diffusion equation on structured meshes
1 Université Paris-Saclay, CEA, Service d’Études des Réacteurs et de Mathématiques Appliquées, 91191, Gif-sur-Yvette, France
2 POEMS, CNRS, INRIA, ENSTA Paris, Institut Polytechnique de Paris, 91120 Palaiseau, France
* e-mail: mario.gervais@cea.fr
** e-mail: francois.madiot@cea.fr
*** e-mail: minh-hieu.do@cea.fr
**** e-mail: patrick.ciarlet@ensta-paris.fr
Published online: 15 October 2024
At the core scale, neutron deterministic calculations are usually based on the neutron diffusion equation. Classically, this equation can be recast in a mixed variational form, and then discretized by using the Raviart-Thomas-Nédélec Finite Element. The goal is to extend the Adaptive Mesh Refinement (AMR) strategy previously proposed in [1] to the Domain Decomposition+L2 jumps which allows non conformity at the interface between subdomains. We are able to refine each subdomain independently, which eventually leads to a more optimal refinement. We numerically investigate the improvements made to the AMR strategy.
© The Authors, published by EDP Sciences, 2024
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