ALE and Fluid Structure Interaction for Sloshing Analysis

Z Ozdemir, M Moatamedi, Y Fahjan, M Souli

Abstract


Liquid containment tanks are, generally, subjected to large deformationsunder severe earthquake conditions due to coupling forces between tankand the contained liquid. The accurate description of these forces is vital inorder to diminish or eliminate the potential risk of tank failure during anearthquake. Yet, analytical formulations derived for the seismic analysis ofliquid storage tanks are not capable to capture the complex fluid-structureeffects since they include many assumptions and simplifications not onlyfor the behavior of fluid and structure but also for the external excitation. Onthe other hand, an appropriate numerical method allows us to cope withlarge displacements of free surface of the fluid, high deformations of thestructure and correctly predicts the hydrodynamic forces due to thehigh-speed impacts of sloshing liquid on a tank wall and roof. For thispurpose, a new coupling algorithm based on the penalty formulation offinite element method which computes the coupling forces at the fluidstructureinterface is developed in this paper. This algorithm is constructedon a two superimposed mesh systems which are a fixed or moving ALEmesh for fluid and a deformable Lagrangian mesh for structure. The fluid isrepresented by Navier-Stokes equations and coupled system is solvedusing an explicit time integration scheme. In order to verify the analysiscapability of coupling algorithm for tank problems, numerical method isapplied for the analyses of a rigid rectangular tank under harmonicexcitation and a flexible cylindrical tank subjected to earthquake motionand numerical results are compared with existing analytical andexperimental results. Strong correlation between reference solution andnumerical results is obtained in terms of sloshing wave height.

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DOI: http://dx.doi.org/10.1260/175095409788922257

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