Conceptual evaluation of fluid–structure interaction effects coupled to a seismic event in an innovative liquid metal nuclear reactor

2009 ◽  
Vol 239 (11) ◽  
pp. 2333-2342 ◽  
Author(s):  
R. Lo Frano ◽  
G. Forasassi
2006 ◽  
Vol 129 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Jean-François Sigrist ◽  
Daniel Broc ◽  
Christian Lainé

The present paper deals with the modal analysis of a nuclear reactor with fluid-structure interaction effects. The proposed study aims at describing various fluid-structure interaction effects using several numerical approaches. The modeling lies on a classical finite element discretization of the coupled fluid-structure equation, enabling the description of added mass and added stiffness effects. A specific procedure is developed in order to model the presence of internal structures within the nuclear reactor, based on periodical homogenization techniques. The numerical model of the nuclear pressure vessel is developed in a finite element code in which the homogenization method is implemented. The proposed methodology enables a convenient analysis from the engineering point of view and gives an example of the fluid-structure interaction effects, which are expected on an industrial structure. The modal analysis of the nuclear pressure vessel is then performed and highlights of the relative importance of FSI effects for the industrial case are evaluated: the analysis shows that added mass effects and confinement effects are of paramount importance in comparison to added stiffness effects.


Author(s):  
Jean-Franc¸ois Sigrist ◽  
Daniel Broc

The present paper exposes a homogenization method developed in order to perform the modal analysis of a nuclear reactor with fluid-structure interaction effects. The homogenization approach is used in order to take into account the presence of internal structures within the pressure vessel. A homogenization method is proposed in order to perform a numerical calculation of the frequencies and modal masses for the eigenmodes of the coupled fluid-structure problem. The technique allows the use of a simplified fluid-structure model that takes into account the presence of internal structures: the theory bases are first recalled, leading to a new formulation of the fluid-structure coupled problem. The finite element discretization of the coupled formulation leads to the modification of the classical fluid-structure interaction operators. The consistency of the formulation is established from a theoretical point of view by evaluating the total mass of the coupled system with the fluid and structure mass operator, and the modified added mass operator. The method is tested and validated on a 2D case (two concentric cylinders with periodical rigid inclusions within the annular space) and applied on the industrial case. A complete modal analysis (calculation of frequencies and modal masses) is performed on a simplified geometry of a nuclear reactor with and without internal structures. Numerical results are then compared and discussed, and the influence of the internal structures on the fluid-structure coupled phenomenon is highlighted.


Author(s):  
Kaushik Das ◽  
Amitava Ghosh ◽  
Debashis Basu ◽  
Larry Miller

In recent years, the nuclear industry has proposed design of affordable small modular reactors (SMR), which will be installed below grade. A complex soil-structure-fluid interaction is expected to occur during a seismic event at such installation sites. A thorough understanding of this interaction is needed for the purpose of designing damping or isolation systems as well as to determine the adequacy and safety of these devices. A fully dynamically coupled analysis of the surrounding soil, reactor structure, and contained fluid within the reactor would provide the most accurate estimate of the forces acting on the SMR, but such an exercise is difficult to accomplish due to large discrepancies in length and time scales of each subsystem. It also would be computationally intensive to explicitly model all the detail physical features that affect system response in a single analysis framework. A sequential one-way explicit coupling between parts of the system, such as soil-structure or fluid-structure interaction in response to seismic ground motion, would provide some reasonable engineering information useful to designers and regulators. A two part study was conducted to understand the soil-structure and fluid-structure interaction in response to a seismic event for an SMR. The present paper describes the latter (fluid-structure interaction), where the containment fluid behavior during a seismic event is studied. A simplified two-dimensional computational fluid dynamics (CFD) model, representing a mockup structure based on the mPower reactor is developed in the study. It is used to simulate the sloshing motion of the fluid during a seismic event. A general volume of flow (VOF) approach is employed to simulate the sloshing motion and track the air-water interface. Ground acceleration calculated from a separate mechanical analysis is adopted in the study to specify the body forces experienced by the fluid. CFD simulations are performed for two different cases that correspond to two different input seismic waveforms. Simulated results highlight the movement of air-water interface due to sloshing within the containment building. The total horizontal and vertical forces on the structure, resulting from the sloshing motion were calculated. A Fourier analysis of the calculated fluid forces shows the dominant frequencies of the force, due to fluid sloshing, are different from that of the seismic acceleration. Similar dominant frequencies of the forces are predicted using two different input seismic waveforms. The magnitudes of the forces varied, depending on the magnitude of the seismic waveform input.


Author(s):  
Daniel Broc ◽  
Jean-Franc¸ois Sigrist

The considered structure is a nuclear reactor vessel, composed of two concentric inner and outer structures, with water in the annular space between. Previous dynamic analysis showed that this water lead to strong fluid structure interaction coupling the structures. The annular space is filled by regularly spaced cylinders, which are linked to the inner structure. Their influence was neglected in the first studies. Recent analyses, using homogenization methods, show that these cylinders increase the FSI coupling in the vessel. The homogenization methods is based on general principles developed in the study of tube bundles, and very well established, from a physical and numerical point of view. Even if it seems reasonable to have a high degree of confidence in the results obtained with this homogenization methods, it is still interesting to validate the results of the “homogenization analysis” with a comparison with “direct calculations”, taking into account the real geometry of the system. The paper presents the main results of the validation. The main limitation of the “direct calculations” is the size of the mesh and the computer time. The main limitation for the “homogenization analysis” is that the actual modeling does not take into account the anisotropy in the Fluid Structure Interaction in the annular space.


Author(s):  
A. R. M. Gharabaghi ◽  
A. Arablouei ◽  
A. Ghalandarzadeh ◽  
K. Abedi

The dynamic response of gravity type quay wall during earthquake including soil-sea-structure interaction is calculated using ADINA finite element techniques. The main objective of this study is to investigate the effects of fluid-structure interaction on the residual displacement of wall after a real earthquake. A direct symmetric coupled formulation based on the fluid velocity potential is used to calculate the nonlinear hydrodynamic pressure of sea water acting on the wall. The doubly asymptotic approximation (DAA) is used to account for the effects of outer fluid on the inner region. The non-associated Mohr-Coulomb material behavior is applied to model the failure of soil. The full nonlinear effective stress analysis is performed in this study and the soil-pore fluid interaction effects are modeled using porous media formulation. Viscous boundary condition is implemented to model the artificial boundary in direct method analysis of soil-structure interaction system and sliding contact condition was modeled in the interface of wall and surrounding soil. A typical configuration of gravity quay wall is used for analysis and three real earthquakes excitation are applied as base acceleration. The results show that influence of fluid-structure interaction effects on the permanent displacement of a gravity quay wall constructed on relatively non-liquefiable site is not considerable.


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