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Implementation of a CRAM solver in MENDEL Depletion Code System

Abstract : Accuracy on the evaluation of isotopic concentrations are an important issue for the nuclear fuel cycle studies, from nuclear facility in operation to long term disposal. Indeed, most of the physical quantities of interest (masses, activities, decay heats...) depend of concentrations.All fuel cycle code systems are available to estimate the concentrations. ORIGEN, FISPACT, DARWIN/PEPIN2 are part of them. MENDEL is a new generation depletion code developed at CEA, devoted to the calculation of physical quantities related to fuel cycle studies. It already offers iso-capacity with DARWIN/PEPIN2. The first Bateman solver implemented in MENDEL was a 4th order Runge-Kutta solver, algorithm already used in DARWIN/PEPIN2.The purpose of this paper is to present the recent implementation of a Chebyshev Rational Approximation Method (CRAM algorithm) in MENDEL. After a general description of both Runge-Kutta and CRAM algorithm, focus will be made on MENDEL's CRAM solver first results. They will be compared with MENDEL already existing solvers, and the lacks and advantages of all methods will be discussed.
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  • HAL Id : cea-02434554, version 1

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S. Lahaye, A. Tsilanizara, P. Bellier, T. Bittar. Implementation of a CRAM solver in MENDEL Depletion Code System. M&C - 2017 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Apr 2017, Jeju, South Korea. ⟨cea-02434554⟩

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