Capturing the Motion of the Free Surface of a Fluid Stored within a Floating Structure

Large floating structures, such as liquefied natural gas (LNG) ships, are subject to both internal and external fluid forces. The internal fluid forces may also be detrimental to a vessel’s stability and cause excessive loading regimes when sloshing occurs. Whilst it is relatively easy to measure the motion of external free surface with conventional measurement techniques, the sloshing of the internal free surface is more difficult to capture. The location of the internal free surface is normally extrapolated from measuring the pressure acting on the internal walls of the vessel. In order to understand better the loading mechanisms of sloshing internal fluids, a method of capturing the transient inner free surface motion with negligible affect on the response of the fluid or structure is required. In this paper two methods will be demonstrated for this purpose. The first approach uses resistive wave gauges made of copper tape to quantify the water run-up height on the walls of the structure. The second approach extends the conventional use of optical motion tracking to report the position of randomly distributed free floating markers on the internal water surface. The methods simultaneously report the position of the internal free surface with good agreement under static conditions, with absolute variation in the measured water level of around 4 mm. This new combined approach provides a map of the free surface elevation under transient conditions. The experimental error is shown to be acceptable (low mm-range), proving that these experimental techniques are robust free surface tracking methods in a range of situations.

[1]  F. Aristodemo,et al.  On-Bottom Stability Analysis of Cylinders under Tsunami-Like Solitary Waves , 2018 .

[2]  Stefan Achleitner,et al.  Accuracy analysis of a physical scale model using the example of an asymmetric orifice , 2014 .

[3]  B. Rogers,et al.  Composite modelling of subaerial landslide–tsunamis in different water body geometries and novel insight into slide and wave kinematics , 2016 .

[4]  Steven A Hughes,et al.  PHYSICAL MODELS AND LABORATORY TECHNIQUES IN COASTAL ENGINEERING , 1993 .

[5]  Helge Fuchs,et al.  Large-scale experiments into the tsunamigenic potential of different iceberg calving mechanisms , 2019, Scientific Reports.

[6]  S. Longo,et al.  Experimental study on oscillating grid turbulence and free surface fluctuation , 2012 .

[7]  Frederic M. Evers,et al.  Spatial impulse waves: wave height decay experiments at laboratory scale , 2016, Landslides.

[8]  Ian Bryden,et al.  The design and commissioning of the first, circular, combined current and wave test basin , 2014, OCEANS 2014 - TAIPEI.

[9]  Lars Johanning,et al.  Re-creation of site-specific multi-directional waves with non-collinear current , 2017 .

[10]  Kazuhiro Iijima,et al.  Loads for use in the design of ships and offshore structures , 2014 .

[11]  Hans Hopman,et al.  Challenges in computer applications for ship and floating structure design and analysis , 2012, Comput. Aided Des..

[12]  D. Liang,et al.  Turbulent flow structure in experimental laboratory wind-generated gravity waves , 2012 .

[13]  Leopoldo Franco,et al.  Overtopping performance of different armour units for rubble mound breakwaters , 2009 .

[14]  Tim Pullen,et al.  Field and laboratory measurements of mean overtopping discharges and spatial distributions at vertical seawalls , 2009 .

[15]  H. Oumeraci,et al.  Breaking wave impact force on a vertical and inclined slender pile¿theoretical and large-scale model investigations , 2005 .

[16]  Phill-Seung Lee,et al.  Hydroelastic analysis of floating plates with multiple hinge connections in regular waves , 2014 .

[17]  Cuneyt Sert,et al.  Tracking free surface and estimating sloshing force using image processing , 2017 .

[18]  Hee Min Teh,et al.  Hydrodynamic Characteristics of a Free-Surface Semicircular Breakwater Exposed to Irregular Waves , 2012 .

[19]  Kyong-Hwan Kim,et al.  Comparative study on pressure sensors for sloshing experiment , 2015 .

[20]  G. Kelly,et al.  Development of a free heaving OWC model with non-linear PTO interaction , 2018 .

[21]  P. Liu,et al.  Pseudo turbulence in PIV breaking-wave measurements , 2000 .

[22]  Ian Bryden,et al.  Validation of a hydrodynamic model for a curved, multi-paddle wave tank , 2014 .

[23]  Willi H. Hager,et al.  Landslide generated impulse waves. , 2003 .

[24]  Tom Andersen,et al.  Horns Rev II, 2-D Model Tests: wave run-up on pile , 2006 .

[25]  V. Heller,et al.  On the effect of the water body geometry on landslide–tsunamis: Physical insight from laboratory tests and 2D to 3D wave parameter transformation , 2015 .

[26]  A. Defina,et al.  Wave Height Attenuation and Flow Resistance Due to Emergent or Near-Emergent Vegetation , 2018 .

[27]  K. Katsaros,et al.  Dynamic response of thin-wire wave gauges , 1982 .

[28]  Chin H. Wu,et al.  Virtual wave gauges based upon stereo imaging for measuring surface wave characteristics , 2011 .

[29]  S. Longo,et al.  Turbulence experiments in the swash zone , 2001 .

[30]  James R Usherwood,et al.  The aerodynamic forces and pressure distribution of a revolving pigeon wing , 2009, Experiments in fluids.

[31]  Ki-Tae Kim,et al.  A direct coupling method for 3D hydroelastic analysis of floating structures , 2013 .

[32]  Ioannis K. Chatjigeorgiou,et al.  Wave Run-Up and Second-Order Wave Forces on a Truncated Circular Cylinder Due to Monochromatic Waves , 2005 .

[33]  J R Chaplin,et al.  Rubber tubes in the sea , 2012, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[34]  Ould el Moctar,et al.  Experimental and numerical investigation of sloshing using different free surface capturing methods , 2017 .

[35]  Peter Frigaard,et al.  Wave run-up on slender piles in design conditions Model tests and design rules for offshore wind , 2011 .

[36]  Marshall C. Richmond,et al.  High-resolution velocimetry in energetic tidal currents using a convergent-beam acoustic Doppler profiler , 2015 .

[37]  Volker Weitbrecht,et al.  Large scale PIV-measurements at the surface of shallow water flows , 2002 .

[38]  Robert Klar,et al.  Buoyant Energy—balancing wind power and other renewables in Europe’s oceans , 2017 .

[39]  Kuang-An Chang,et al.  Green water impact pressure on a three-dimensional model structure , 2012 .

[40]  A. Bateman,et al.  Tsunamis generated by fast granular landslides: 3D experiments and empirical predictors , 2017 .

[41]  Vengatesan Venugopal,et al.  Re-Creating Waves in Large Currents for Tidal Energy Applications , 2017 .

[42]  Kuang-An Chang,et al.  Experimental study on flow kinematics and impact pressure in liquid sloshing , 2013 .

[43]  F. J. M. Farley,et al.  Laboratory testing the Anaconda , 2012, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[44]  S. Gaskin,et al.  Error analysis of 3D-PTV through unsteady interfaces , 2018 .

[45]  B. Cabane,et al.  Fourier transform profilometry for water waves: how to achieve clean water attenuation with diffusive reflection at the water surface? , 2012 .

[46]  Hyung Jin Sung,et al.  PIV measurements of flow around an arbitrarily moving free surface , 2015 .

[47]  Duncan Sutherland,et al.  Characterisation of current and turbulence in the FloWave Ocean Energy Research Facility , 2017 .

[48]  Wenchi Ni,et al.  An experimental study on vortex induced motion of a tethered cylinder in uniform flow , 2017 .

[49]  V. Venugopal,et al.  Capture and simulation of the ocean environment for offshore renewable energy , 2019, Renewable and Sustainable Energy Reviews.

[50]  John M. Niedzwecki,et al.  Wave Runup and Forces on Cylinders in Regular and Random Waves , 1992 .

[51]  Alison Raby,et al.  Physical modelling of wave scattering around fixed FPSO-shaped bodies , 2016 .

[52]  William L. Peirson,et al.  Application of LiDAR technology for measurement of time-varying free-surface profiles in a laboratory wave flume , 2012 .

[53]  A. Techet,et al.  Simultaneous quantitative flow measurement using PIV on both sides of the air–water interface for breaking waves , 2011 .

[54]  Stefan Felder,et al.  Continuous measurements of time-varying free-surface profiles in aerated hydraulic jumps with a LIDAR , 2018 .

[55]  Robert Klar,et al.  A floating energy storage system based on fabric , 2018 .

[56]  Laurent David,et al.  Free surface measurement by stereo-refraction , 2013 .

[57]  S. Longo Experiments on turbulence beneath a free surface in a stationary field generated by a Crump weir: free-surface characteristics and the relevant scales , 2010 .

[58]  Phill-Seung Lee,et al.  Hydroelastic analysis of floating structures with liquid tanks and comparison with experimental tests , 2015 .

[59]  Alison Raby,et al.  Optimisation of focused wave group runup on a plane beach , 2017 .

[60]  A. Weigand Simultaneous mapping of the velocity and deformation field at a free surface , 1996 .

[61]  Jialong Jiao,et al.  Model testing for ship hydroelasticity: A review and future trends , 2017 .

[62]  Samuel Draycott,et al.  Simulating Extreme Directional Wave Conditions , 2017 .

[63]  Nicolas Riviere,et al.  Clear-Water Scouring Process in a Flow in Supercritical Regime , 2016 .

[64]  Kuang‐An Chang,et al.  Impact pressure and void fraction due to plunging breaking wave impact on a 2D TLP structure , 2017 .

[65]  Linnea Sjökvist,et al.  Numerical models for the motion and forces of point-absorbing wave energy converters in extreme waves , 2017 .

[66]  Torgeir Moan,et al.  A discrete-modules-based frequency domain hydroelasticity method for floating structures in inhomogeneous sea conditions , 2017 .

[67]  M. Cruchaga,et al.  Study of 3D sloshing in a vertical cylindrical tank , 2018, Physics of Fluids.

[68]  H. Oumeraci,et al.  Run-up on vertical piles due to regular waves: Small-scale model tests and prediction formulae , 2016 .