TY - JOUR
T1 - Adaptive solution of the domain decomposition+L2-jumps method applied to the neutron diffusion equation on structured meshes
AU - Gervais, Mario
AU - Madiot, François
AU - Do, Minh Hieu
AU - Ciarlet, Patrick
N1 - Publisher Copyright:
© The Authors, published by EDP Sciences.
PY - 2024/10/15
Y1 - 2024/10/15
N2 - 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.
AB - 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.
U2 - 10.1051/epjconf/202430202011
DO - 10.1051/epjconf/202430202011
M3 - Conference article
AN - SCOPUS:85211792311
SN - 2101-6275
VL - 302
JO - EPJ Web of Conferences
JF - EPJ Web of Conferences
M1 - 02011
T2 - 2024 Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo, SNA + MC 2024
Y2 - 20 October 2024 through 24 October 2024
ER -