FSI MODELING OF LIQUID SLOSHING IN A FLEXIBLE FLOATING TANK UNDER REGULAR WAVE EFFECT
Abstract
This paper presents a Fluid-Structure Interaction (FSI) numerical study of a deformable two-dimensional floating rectangular tank partially filled with water and subjected to a regular wave effect. It is based on the coupling of a two-phase flow solver from the OpenFOAM code, based on the Finite Volume Method (FVM), and an elastic solid solver from the FEniCS code, based on the Finite Element Method (FEM). The two solvers are coupled using the preCICE library for the Fluid-Structure Interaction (FSI) problem. The Arbitrary Lagrangian-Eulerian (ALE) formulation is adopted for the two-phase Navier-Stokes equations in a moving fluid domain. An implicit coupling scheme is used to solve the FSI problem. The effect of swell excitation is considered by introducing a source term into the equations governing the fluid and the solid. The obtained results show that for the studied case, the tank walls' flexibility increases the sloshing amplitude and the fluctuations at the air-liquid interface, and causes a phase shift in the free surface response compared to the rigid case. The Fast Fourier Transform (FFT) applied to the time responses of the free surface and the tank wall highlights that the obtained results give a good agreement with the analytical solution.
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AKYILDIZ H., ÜNAL E. (2005). Experimental investigation of pressure distribution on a rectangular tank due to the liquid sloshing, Ocean Engineering, Vol.32, Issues 11-12, pp. 1503–1516.
AKYILDIZ H., ERDEM ÜNAL N. (2006). Sloshing in a three-dimensional rectangular tank: Numerical simulation and experimental validation, Ocean Engineering, Vol.33, Issue 16, pp. 2135–2149.
AMARA L., ACHOUR B., BERREKSI A. (2013a). Finite volumes numerical approach for the calculation of the dynamic response of equilibrium chimneys, Larhyss Journal, No 14, pp. 7-19. (In French)
AMARA L., BERREKSI A., ABDOUNE K. (2013b). Computation of mass oscillations in a surge tank by finite element technique, Larhyss Journal, No 15, pp. 139-149.
AMARA L., BERREKSI A., ACHOUR B. (2016). Application of the finite volume method to the computation of water hammer protection, Larhyss Journal, No 28, pp. 303-317.
AMARA L., BERREKSI A. (2018). Computation of 1d side weir flow by finite element method, Larhyss Journal, No 35, pp. 45-58.
ARMENIO V. (1997). An improved mac method (simac) for unsteady high-reynolds free surface flows, International Journal for Numerical Methods in Fluids, Vol.24, Issue 2, pp. 185–214.
BAHLOUL GUERBABI F.Z., FARHI A. (2015). Water management in Timgad from the source to the ancient thermal spas, Larhyss Journal, No 23, pp. 259-273. (In French)
BLEVINS R.D. (2001). Flow-induced Vibration, Krieger Publishing Company, 477 p.
DEBBACHE M., DERFOUF S. (2018). Analysis of the induction effect on the performance of wind turbine, Larhyss Journal, No 33, pp. 25-39.
FALTINSEN O.M. (1974). A Nonlinear Theory of Sloshing in Rectangular Tanks. Journal of Ship Research, Vol.18, Issue 4, pp. 224–241.
FALTINSEN O.M., TIMOKHA A.N. (2009). Sloshing, Cambridge University Press, 606p.
JIN X., LUO M., XUE M.A., LIN P. (2022). Resonant sloshing in a rectangular tank under coupled heave and surge excitations, Applied Ocean Research, Vol.121, Paper ID 103076.
KARGBO O., XUE M.A., ZHENG J., YUAN X. (2021). Multiphase sloshing dynamics of a two-layered fluid and interfacial wave interaction with a porous T-shaped baffle in a tank, Ocean Engineering, Vol.229, Paper ID 108664.
KHA K.Q.N., BENAOUICHA M., GUILLOU S., SEGHIR A. (2024). Numerical Investigation of Liquid Sloshing in 2D Flexible Tanks Subjected to Complex External Loading, Journal of Fluids and Structures, Vol.125, Paper ID 104077.
KHOUF L., BENAOUICHA M., SEGHIR A., GUILLOU S. (2023). Numerical modeling of liquid sloshing in flexible tank with FSI approach, World Journal of Engineering, Vol.20, Issue 1, pp. 131–142.
LEBDIRI F., SEGHIR A., BERREKSI A. (2020). Steps number effect on hydraulic parameters of flows in stepped spillways, Larhyss Journal, No 42, pp. 41-51.
LIU Z., FENG Y., LIU Y., LEI G., LI Y. (2020). Fluid sloshing dynamic performance in a fuel storage tank under sinusoidal excitations, Applied Thermal Engineering, Vol.168, Paper ID 114814.
LUO D., LIU C., SUN J., CUI L., WANG Z. (2022). Sloshing effect analysis of liquid storage tank under seismic excitation, Structures, Vol.43, pp. 40–58.
MESSAOUDENE B., FERROUK M. (2024). Fluid-structure interaction with viscoelasticity in numerical simulation of water hammer, Larhyss Journal, No 58, pp. 7-19.
MOISEEV N.N. (1958). On the theory of nonlinear vibrations of a liquid of finite volume, Journal of Applied Mathematics and Mechanics, Vol.22, Issue 5, pp. 860–872.
MOLIN B. (2002). Hydrodynamique des structures offshore, Editions TECHNIP, 415 p. (In French)
OZDEMIR Z., MOATAMEDI M., FAHJANY.M., SOULI M. (2009). ALE and Fluid Structure Interaction for Sloshing Analysis, The International Journal of Multiphysics, Vol.3, Issue 3, pp. 307–336.
RAJAOMAZAVA T.E., BENAOUICHA M., ASTOLFI J.A. (2011). A Comparison Study of Coupling Algorithms for Fluid-Structure Interaction Problems, in: Vol. 4, Fluid-Structure Interaction. Presented at the ASME 2011 Pressure Vessels and Piping Conference, ASMEDC, Baltimore, Maryland, USA, pp. 399–408.
REN Y., KHAYYER A., LIN P., HU X. (2023). Numerical modeling ofsloshing flow interaction with an elastic baffle using SPHinXsys, Ocean Engineering, Vol. 267, Paper ID 113110.
WANG C.Y., TENG J.T., HUANG G.P.G. (2010). Numerical Simulation of Sloshing Motion inside a Two-Dimensional Rectangular Tank with a Baffle or Baffles, Journal of Aeronautics, Astronautics and Aviation. Series A, Vol.42, Issue 3, pp. 207-215.
YU L., XUE M.-A., JIANG Z. (2020a). Experimental investigation of parametric sloshing in a tank with vertical baffles, Ocean Engineering, Vol.213, Paper ID 107783.
YU L., XUE M.A., ZHENG J. (2019). Experimental study of vertical slat screens effects on reducing shallow water sloshing in a tank under horizontal excitation with a wide frequency range, Ocean Engineering, Vol.173, pp. 131–141.
YU L., XUE M.A., ZHU A., (2020b). Numerical Investigation of Sloshing in Rectangular Tank with Permeable Baffle, Journal of Marine Science and Engineering, Vol.8, Issue 9, Paper ID 671.
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