Abstract
The paper is concerned with the dynamic analysis of a nuclear reactor with fluid-structure interaction modelling. Various fluid-structure interaction effects (inertial, elasto-acoustic coupling, confinement) are investigated using specific mathematical modelling. In particular, modelling of the reactor internal structures is performed using an homogenisation method whose numerical basis are exposed in the paper. Influence of fluidstructure coupling on the dynamic behaviour of the reactor is highlighted with a modal analysis, on the one hand, and a dynamic analysis in the 0–20 Hz and 20–200 Hz frequency range, on the other hand. Modal analysis is carried out by computing the mode shapes, frequencies and effective masses of the reactor with and without fluid-structure interaction. Dynamic analysis is performed using various engineering methods (temporal and spectral approaches) which are compared and discussed. From the engineering standpoint, the following questions, of paramount interest in pre-design analysis, are addressed: i) What are the predominant coupling effects in the low frequency range (0–20 Hz)? ii) What are the predominant coupling effects in the high frequency range (20–200 Hz)? iii) What is the influence of the presence of internal structures as far as fluid-structure interaction is concerned? iv) What is the influence of the static pressure loading on the dynamic behaviour of the nuclear reactor?
Highlights
The numerical simulation of fluid-structure interaction problems has made tremendous progress over the past decades: many numerical methods have been proposed to take these phenomena into account in various engineering domains, among which power nuclear engineering in seismic analysis [1,2,3]
Dynamic analysis has been performed in order to study the reactor behaviour under seismic and shock loading, using a numerical method which is consistent with the physics of the system
– From the numerical point of view, a homogenisation approach has been developed for the modelling of the reactor internal structures with fluidstructure interaction
Summary
The numerical simulation of fluid-structure interaction problems has made tremendous progress over the past decades: many numerical methods have been proposed to take these phenomena into account in various engineering domains, among which power nuclear engineering in seismic analysis [1,2,3]. Fluid-structure interaction effects are described in an indirect, though powerful, way because in this latter case, detailed geometry of the solid inclusion do not need meshing, see Fig. 2, case (b) Such an approach is based on the application of homogenisation methods, which lies on the geometrical periodicity of problem. Homogenisation methods have been developed and applied in various fields for structures with periodic geometry [17] or for fluids in porous media [18] Such methods have been applied to fluid-structure interaction problems [19] in particular in power nuclear engineering for FSI modelling in tube bundle [20,21], heat exchangers [22] or reactor cores [23,24,25].
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