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Abstract
Sloshing is relevant in several applications like ship tanks, space and automotive industry and seiching in harbours. Due to the relationship between ship and sloshing motions and possibility of structural damage, it is important to represent this phenomenon accurately. This paper investigates sloshing at shallow liquid depths in a rectangular container using experiments and RANS simulations. Free and forced sloshing, with and without baffles, are studied at frequencies chosen specifically in proximity to the first mode natural frequency. The numerically calculated free surface elevation is in close agreement with observations from experiments. The upper limit of the resonance zone, sloshing under different filling depths and roll amplitudes and sloshing with one, two and four baffles are also investigated. The results show that the extent of the resonance zone is reduced for higher filling depth and roll amplitude. It is also found that the inclusion of baffles moves the frequency at which the maximum free surface elevation occurs, away from the fundamental frequency. Finally, a submerged baffle is found to dissipate more energy compared to a surface piercing baffle and that the effect of several submerged baffles is similar to that of a single submerged baffle.
Keywords
Sloshing
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Baffles
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Resonance
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Numerical modelling
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REEF3D
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Arun Kamath, Erlend Liavåg Grotle, Hans Bihs.
Numerical Investigation of Sloshing Under Roll Excitation at Shallow Liquid Depths and the Effect of Baffles.
Journal of Marine Science and Application, 2021, 20(2): 185-200 DOI:10.1007/s11804-021-00198-y
| [1] |
Ahmad N, Bihs H, Myrhaug D, Kamath A, Arntsen ØA. Three-dimensional numerical modelling of wave- induced scour around piles in a side-by-side arrangement. Coast Eng, 2018, 138: 132-151
|
| [2] |
Antuono M, Bouscasse B, Colagrossi A, Lugni C. Two-dimensional modal method for shallow-water sloshing in rectangular basins. J Fluid Mech, 2012, 700: 419-440
|
| [3] |
Armenio V, La Rocca M. On the analysis of sloshing of water in rectangular containers: numerical study and experimental validation. Ocean Eng, 1996, 23(8): 705-739
|
| [4] |
Berthelsen PA, Faltinsen OM. A local directional ghost cell approach for incompressible viscous flow problems with irregular boundaries. J Comput Phys, 2008, 227(9): 4354-4397
|
| [5] |
Bihs H, Kamath A. A combined level set/ghost cell immersed boundary representation for floating body simulations. Int J Numer Methods Fluids, 2017, 83(12): 905-916
|
| [6] |
Bihs H, Kamath A, Alagan Chella M, Aggarwal A, Arntsen ØA. A new level set numerical wave tank with improved density interpolation for complex wave hydrodynamics. Comput Fluids, 2016, 140: 191-208
|
| [7] |
Durbin PA. Limiters and wall treatments in applied turbulence modeling. Fluid Dynamics Research, 2009, 41(1): 012203
|
| [8] |
Faltinsen OM, Timokha AN. Asymptotic modal approximation of nonlinear resonant sloshing in a rectangular tank with small fluid depth. J Fluid Mech, 2002, 470: 319-357
|
| [9] |
Faltinsen OM, Timokha AN (2009) Sloshing. Cambridge University Press
|
| [10] |
Faltinsen OM Rognebakke OF Lukovsky IA, Timokha AN. Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. J Fluid Mech, 2000, 407: 201-234
|
| [11] |
Grotle EL, Bihs H, Æsøy V. Experimental and numerical investigation of sloshing under roll excitation at shallow liquid depths. Ocean Eng, 2017, 138: 73-85
|
| [12] |
Grotle EL, Bihs H, Æsøy V, Pedersen E. Computational fluid dynamics simulations of nonlinear sloshing in a rotating rectangular tank using the level set method. Journal of Offshore Mechanics and Arctic Engineering, 2018, 140(6): 061806
|
| [13] |
Harten A. High resolution schemes for hyperbolic conservation laws. J Comput Phys, 1983, 49(3): 357-393
|
| [14] |
Hossain M, Rodi W (1980) Mathematical modelling of vertical mixing in stratified channel flow. Proceedings of the 2nd Symposium on Stratified Flows. Trondheim:280–290
|
| [15] |
Ibrahim RA (2005) Liquid sloshing dynamics: theory and applications. Cambridge University Press
|
| [16] |
Ibrahim RA, Pilipchuk V, Ikeda T. Recent advances in liquid sloshing dynamics. Appl Mech Rev, 2001, 54(2): 133-199
|
| [17] |
Jiang GS, Peng D. Weighted ENO schemes for Hamilton-Jacobi equations. SIAM J Sci Comput, 2000, 21: 2126-2143
|
| [18] |
Jiang G, Shu C. Efficient implementation of weighted ENO schemes. J Comput Phys, 1996, 126(130): 202-228
|
| [19] |
Jung J, Yoon H, Lee C, Shin S. Effect of the vertical baffle height on the liquid sloshing in a three-dimensional rectangular tank. Ocean Eng, 2012, 44: 79-89
|
| [20] |
Kamath A, Bihs H, Arntsen ØA. Study of water impact and entry of a free-falling wedge using computational fluid dynamics simulations. Journal of Offshore Mechanics and Arctic Engineering, 2017, 139(3): 031802
|
| [21] |
Keulegan GH. Energy dissipation in standing waves in rectangular basins. J Fluid Mech, 1959, 6(1): 33-50
|
| [22] |
Lu L, Jiang SC, Zhao M, Tang GQ. Two-dimensional viscous numerical simulation of liquid sloshing in rectangular tank with/without baffles and comparison with potential flow solutions. Ocean Eng, 2015, 108: 662-677
|
| [23] |
Menter FR. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J, 1994, 32(8): 1598-1605
|
| [24] |
Miles JW. Surface-wave damping in closed basins. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 1967, 297(1451): 459-475
|
| [25] |
Naot D, Rodi W. Calculation of secondary currents in channel flow. J Hydraul Div, 1982, 108(8): 948-968
|
| [26] |
Ong MC, Kamath A, Bihs H, Afzal MS. Numerical simulation of free-surface waves past two semi-submerged horizontal circular cylinders in tandem. Mar Struct, 2017, 52: 1-14
|
| [27] |
Osher S, Sethian JA. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton- Jacobi formulations. J Comput Phys, 1988, 79(1): 12-49
|
| [28] |
Peng D, Merriman B, Osher S, Zhao H, Kang M. A PDE-based fast local level set method. J Comput Phys, 1999, 155(2): 410-438
|
| [29] |
Sussman M, Smereka P, Osher S. A level set approach for computing solutions to incompressible two-phase flow. J Comput Phys, 1994, 114(1): 146-159
|
| [30] |
Van der Vorst HA. Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J Sci Stat Comput, 1992, 13(2): 631-644
|
| [31] |
Verhagen J, Van Wijngaarden L. Non-linear oscillations of fluid in a container. J Fluid Mech, 1965, 22(4): 737-751
|
| [32] |
Wilcox D (1994) Turbulence modeling for CFD. DCW Industries, Incorporated, La Canada, California, USA
|
| [33] |
Wu CH, Faltinsen OM, Chen BF. Numerical study of sloshing liquid in tanks with baffles by time-independent finite difference and fictitious cell method. Comput Fluids, 2012, 63: 9-26
|
| [34] |
Zhao Y, Chen HC. Numerical simulation of 3d sloshing flow in partially filled LNG tank using a coupled level-set and volume-of-fluid method. Ocean Eng, 2015, 104: 10-30
|
Funding
NTNU Norwegian University of Science and Technology (incl St. Olavs Hospital - Trondheim University Hospital)