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On the simulation of Nuclear Power Plant Components using a fictitious domain approach

Abstract : This paper describes the first step of the introduction of fictitious domain methods (FDM) in the simulation of nuclear component fields. We consider the resolution of a diffusion problem "-div a grad u = f" in a physical domain with different kinds of boundary conditions (B.C.). The shape of this domain is of the Steam Generator's type. The aim of this work is to present several ways to impose B.C. on an immersed interface, without modifying locally the numerical scheme and without using Lagrange multipliers. The numerical resolution is implemented using either a finite element or a finite volume method. Error estimates are performed in order to evaluate the capability of this method. A comparison with unstructured mesh methods is also presented.
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  • HAL Id : hal-01053745, version 1

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Isabelle Ramière, Michel Belliard, Philippe Angot. On the simulation of Nuclear Power Plant Components using a fictitious domain approach. NURETH-11, Oct 2005, Avignon, France. paper: 193. ⟨hal-01053745⟩

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