# A domain decomposition method in APOLLO3$^R$ solver, MINARET

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Abstract : The aim of this paper is to present the last developments made on Domain Decomposition Method inside the APOLLO3$^R$ core solver, MINARET. The fundamental idea consists in splitting a large boundary value problem into several similar but smaller ones. Since each sub-problem can be solved independently, the Domain Decomposition Method is a natural candidate to introduce more parallel computing into deterministic schemes. Yet, the real originality of this work does not rest on the well-tried Domain Decomposition Method, but in its implementation inside MINARET. The first validation elements show a perfect equivalence between the reference and the Domain Decomposition schemes, in terms of both $k_{eff}$ and flux mapping. These first results are obtained without any parallelization or acceleration. Nevertheless, the “relatively“ low increase of computation time due to Domain Decomposition is very encouraging for future performances. So much that one can hope to greatly increase the precision without any major time impact for users. At last, the unstructured space meshing used in MINARET will eventually be improved by adding an optional non conformal map between subdomains. This association will make of the new scheme an efficient tool, able to deal with the large variety of geometries offered by nuclear core concepts.
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Cited literature [16 references]

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• HAL Id : cea-02509075, version 1

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N. Odry, J.-F. Vidal, G. Rimpault, A.-M. Baudron, J.-J. Lautard. A domain decomposition method in APOLLO3$^R$ solver, MINARET. ANS MC2015 - Joint International Conference on Mathematics and Computation (MandC), Supercomputing in Nuclear Applications (SNA) and theMonte Carlo (MC) Method, Apr 2015, Nashville, United States. ⟨cea-02509075⟩

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