|Table of Contents|

Citation:
 Arun Kamath,Erlend Liav?g Grotle,Hans Bihs.Numerical Investigation of Sloshing Under Roll Excitation at Shallow Liquid Depths and the Effect of Baffles[J].Journal of Marine Science and Application,2021,(2):185-200.[doi:10.1007/s11804-021-00198-y]
Click and Copy

Numerical Investigation of Sloshing Under Roll Excitation at Shallow Liquid Depths and the Effect of Baffles

Info

Title:
Numerical Investigation of Sloshing Under Roll Excitation at Shallow Liquid Depths and the Effect of Baffles
Author(s):
Arun Kamath1 Erlend Liav?g Grotle2 Hans Bihs1
Affilations:
Author(s):
Arun Kamath1 Erlend Liav?g Grotle2 Hans Bihs1
1. Department of Civil and Environmental Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway;
2. Kongsberg Maritime CM AS, 6065 Ulsteinvik, Norway
Keywords:
SloshingBafflesResonanceNumerical modellingREEF3D
分类号:
-
DOI:
10.1007/s11804-021-00198-y
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.

References:

Ahmad N, Bihs H, Myrhaug D, Kamath A, Arntsen ?A (2018) Three-dimensional numerical modelling of wave-induced scour around piles in a side-by-side arrangement. Coast Eng 138:132-151
Antuono M, Bouscasse B, Colagrossi A, Lugni C (2012) Two-dimensional modal method for shallow-water sloshing in rectangular basins. J Fluid Mech 700:419-440
Armenio V, La Rocca M (1996) On the analysis of sloshing of water in rectangular containers:numerical study and experimental validation. Ocean Eng 23(8):705-739
Berthelsen PA, Faltinsen OM (2008) A local directional ghost cell approach for incompressible viscous flow problems with irregular boundaries. J Comput Phys 227(9):4354-4397
Bihs H, Kamath A (2017) A combined level set/ghost cell immersed boundary representation for floating body simulations. Int J Numer Methods Fluids 83(12):905-916
Bihs H, Kamath A, Alagan Chella M, Aggarwal A, Arntsen ?A (2016) A new level set numerical wave tank with improved density interpolation for complex wave hydrodynamics. Comput Fluids 140:191-208
Durbin PA (2009) Limiters and wall treatments in applied turbulence modeling. Fluid Dynamics Research 41(1):012203
Faltinsen OM, Timokha AN (2002) Asymptotic modal approximation of nonlinear resonant sloshing in a rectangular tank with small fluid depth. J Fluid Mech 470:319-357
Faltinsen OM, Timokha AN (2009) Sloshing. Cambridge University Press
Faltinsen OM, Rognebakke OF, Lukovsky IA, Timokha AN (2000) Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. J Fluid Mech 407:201-234
Grotle EL, Bihs H, ?s?y V (2017) Experimental and numerical investigation of sloshing under roll excitation at shallow liquid depths. Ocean Eng 138:73-85
Grotle EL, Bihs H, ?s?y V, Pedersen E (2018) Computational fluid dynamics simulations of nonlinear sloshing in a rotating rectangular tank using the level set method. Journal of Offshore Mechanics and Arctic Engineering 140(6):061806
Harten A (1983) High resolution schemes for hyperbolic conservation laws. J Comput Phys 49(3):357-393
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
Ibrahim RA (2005) Liquid sloshing dynamics:theory and applications. Cambridge University Press
Ibrahim RA, Pilipchuk V, Ikeda T (2001) Recent advances in liquid sloshing dynamics. Appl Mech Rev 54(2):133-199
Jiang GS, Peng D (2000) Weighted ENO schemes for Hamilton-Jacobi equations. SIAM J Sci Comput 21:2126-2143
Jiang G, Shu C (1996) Efficient implementation of weighted ENO schemes. J Comput Phys 126(130):202-228
Jung J, Yoon H, Lee C, Shin S (2012) Effect of the vertical baffle height on the liquid sloshing in a three-dimensional rectangular tank. Ocean Eng 44:79-89
Kamath A, Bihs H, Arntsen ?A (2017) Study of water impact and entry of a free-falling wedge using computational fluid dynamics simulations. Journal of Offshore Mechanics and Arctic Engineering 139(3):031802
Keulegan GH (1959) Energy dissipation in standing waves in rectangular basins. J Fluid Mech 6(1):33-50
Lu L, Jiang SC, Zhao M, Tang GQ (2015) Two-dimensional viscous numerical simulation of liquid sloshing in rectangular tank with/without baffles and comparison with potential flow solutions. Ocean Eng 108:662-677
Menter FR (1994) Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J 32(8):1598-1605
Miles JW (1967) Surface-wave damping in closed basins. Proceedings of the Royal Society of London A:Mathematical, Physical and Engineering Sciences 297(1451):459-475
Naot D, Rodi W (1982) Calculation of secondary currents in channel flow. J Hydraul Div 108(8):948-968
Ong MC, Kamath A, Bihs H, Afzal MS (2017) Numerical simulation of free-surface waves past two semi-submerged horizontal circular cylinders in tandem. Mar Struct 52:1-14
Osher S, Sethian JA (1988) Fronts propagating with curvature-dependent speed:algorithms based on Hamilton-Jacobi formulations. J Comput Phys 79(1):12-49
Peng D, Merriman B, Osher S, Zhao H, Kang M (1999) A PDE-based fast local level set method. J Comput Phys 155(2):410-438
Sussman M, Smereka P, Osher S (1994) A level set approach for computing solutions to incompressible two-phase flow. J Comput Phys 114(1):146-159
Van der Vorst HA (1992) Bi-CGSTAB:A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J Sci Stat Comput 13(2):631-644
Verhagen J, Van Wijngaarden L (1965) Non-linear oscillations of fluid in a container. J Fluid Mech 22(4):737-751
Wilcox D (1994) Turbulence modeling for CFD. DCW Industries, Incorporated, La Canada, California, USA
Wu CH, Faltinsen OM, Chen BF (2012) Numerical study of sloshing liquid in tanks with baffles by time-independent finite difference and fictitious cell method. Comput Fluids 63:9-26
Zhao Y, Chen HC (2015) Numerical simulation of 3d sloshing flow in partially filled LNG tank using a coupled level-set and volume-of-fluid method. Ocean Eng 104:10-30

Memo

Memo:
Received date:2020-10-07;Accepted date:2020-12-24。
Foundation item:Open access funding provided by NTNU Norwegian University of Science and Technology (incl St. Olavs Hospital-Trondheim University Hospital).
Corresponding author:Arun Kamath, arun.kamath@ntnu.no
Last Update: 2021-09-06