Numerical modelling of 3D sloshing experiments in rectangular tanks

Abstract

This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights • Improved mass-preserving renormalization method for 3D two-fluid viscous flows • Report of new 3D experimental data for free-surface evolution in sloshing problems • 3D confirmation of 2D predictions for free and forced sloshing planar modes • Experimental validation for simulation of fully 3D sloshing cases • Effect of the initial conditions on the 3D simulation

An oil sloshing study: adaptive fixed-mesh ALE analysis and comparison with experiments

“…The experiment consists of a square tank lled with a commercial vegetable oil and subjected to controlled imposed motion via a shake table. Sloshing experiments performed in water and their simulations were reported in [19,20] using a similar layout. Those papers report experiments in rectangular tanks for a water lling depth of 100mm and the numerical modelling performed with xed-mesh stabalised nite element formulations using free surface tracking and capturing techniques.…”

Numerical and experimental study of the motion of a sphere in a communicating vessel system subject to sloshing

“…This third problem is also solved with a finite element method, which is steady in each time step 38 and can be complemented with a global explicit volume preservation stage. 24 Hence, the properties of the fluids are distributed in the whole domain according to the marker function ϕ(x, t) that is positive in the liquid part of the domain, Ω l , negative in the gaseous phase, Ωg, and is null specifically over the free surface Γ FS such that Ω = Ω l ∪ Ωg and Ω l ∩ Ωg = 0 /. Particularly, and due to the renormalization stage Physics of Fluids ARTICLE scitation.org/journal/phf applied, it is −1 < ϕ < 1.…”

“…37 The properties of the fluids used in this case are shown in Table III, while the parameters for the turbulence model are Cs = 1 and μmax = 0.1 kg (ms) −1 , set from previous numerical analyses in sloshing problems. 21,24 Figure 8 presents snapshots from the video and a simulation at different instants of the free surface periodic regime, in which the center of the sphere follows trajectory 3-4 in Fig. 10(a).…”

“…[17][18][19] Other approaches are based on numerical methods for solving viscous free surface and two-fluid flow numerical methods 20,21 and have been successfully applied to sloshing simulations in two-and three-dimensional problems, as supported by the validations performed with analytical and experimental reference values. [22][23][24][25] Physics of Fluids ARTICLE scitation.org/journal/phf…”

Equivalent mechanical model of rectangular container attached to a pendulum compared to experimental data and analytical solution

“…A tuned liquid damper consists of a tank partially filled with liquid, usually water, properly tuned to absorber the vibrational excitation energy. Application examples can be found in buildings [1][2][3][4], wind turbines [5,6], bridges [7,8] and offshore structures [9]. Many tall structures have been effectively fitted with TLD devices, resulting in a significant decrease in structural motion [10,11].…”