Towards a Pragmatic Method for Prediction of Whipping:
Wedge Impact Simulations using OpenFOAM
Neil R. Southall
1
, Yongwon Lee
1
, Michael C. Johnson
1
, Spyros E. Hirdaris
2
and Nigel J. White
1
1
Structural Analysis and Hydrodynamics, Global Technology Centre, Lloyd’s Register, UK
2
Technology Centre Korea, Korea, Lloyd’s Register Asia
ABSTRACT
This paper presents an approach for the prediction of impact loads
using the open-source Computational Fluid Dynamics (CFD) code
OpenFOAM. Computational results displaying the time history of
impact pressures and forces for drop tests of two dimensional wedges
for 20 degree and 30 degree dead rise angles and varying tilt angles are
compared against experimental results from WILS JIP-III. An
incompressible Volume of Fluid (VOF) computational scheme is used
to capture the free surface effects. The key numerical idealisation
factors of the method employed are identified and the steps taken to
overcome those are described. Preliminary results using a compressible
flow solver are also presented and initial investigations into the
sensitivity of the results to mesh density and domain size are described.
KEY WORDS: Slamming; Computational Fluid Dynamics (CFD),
Volume of Fluid (VOF) method; OpenFOAM.
INTRODUCTION
In recent years, the increasing demand for higher container carrying
capacity has resulted in the rapid growth of container ship sizes. It is
believed that the combination of relatively high speed and high length
to beam aspect ratios of these open deck ships may result in whipping
and springing becoming significant factors for the prediction of wave
induced dynamic loads (Hirdaris et al., 2014). Whipping, defined as the
vibrational response of the hull girder due to wave impact loads, may
augment the extreme wave bending moments and shear forces (Lee et
al., 2012). Hence, understanding of impact fluid flow phenomena and
the development of practical fluid structure interaction methods for the
prediction of the incident wave induced slamming loads on symmetric
and antisymmetric ship dynamic response is considered to be an
important research area within the context of rationally based ship
design.
Hull slamming occurs when the forefoot of a ship rises above the water
surface and then submerges again with high vertical velocity. Impulsive
pressure loads act on the hull, introducing dynamic excitation to the
structure due to the large force applied in the order of milliseconds.
Technology availability, theoretical knowledge and uncertainty
quantification associated with the derivation and validation of impact
induced loads is still developing. Model experiments are still
considered to be the most reliable method for the prediction of
slamming loads. However, they may be expensive and time consuming.
On the other hand, with the increasing capacity of computational power
advanced numerical methods (e.g. boundary elements or CFD), could
suggest an alternative, as well as offering the significant advantage of
providing detailed insight into impact flow phenomena.
The third iteration of the WILS (Wave Induced Loads on Ships) Joint
Industry Project was instigated with the objective to provide reliable
model test data on wave induced impact loads of container ships for
validation of commercial numerical codes and Classification Rule-
based local slamming loads (e.g. Lloyd's Register, 2013). The first
phase of experiments consisted of drop tests of wedge-shaped forms
designed to provide a matrix of impact pressures and forces at a range
of incidence angles, both for sensor validation and to provide data for
validation of numerical results.
Based on 2D wedge experiments carried out under WILS JIP-III
proceedings at the facilities of the Korean Maritime and Ocean
Engineering Research Institute MOERI (2013) this paper presents
comparisons against the measured impact loads using the open-source
Computational Fluid Dynamics code OpenFOAM. The aim of the
study is to develop a pragmatic fluid structure interaction approach for
the prediction of impact pressures and forces. As part of a wider
research programme to develop a coupled time-domain ship motions
and slamming method where minimizing runtime is a primary
requirement, an initial investigation was made to optimise the solution
in terms of computational performance. In the results presented both
mesh density and the bounds of the numerical model are pushed
beyond what would normally be considered good practice. This helped
to establish the influence and credibility of key numerical idealisation
factors.
LITERATURE REVIEW
The classic papers in the subject area of impact include von Karman
(1929), Wagner (1932) and Stavovy and Chuang (1970) and these
remain in widespread use for cases where severe impact loads do not
introduce large deformations that modify the fluid motion. More
recently, Korobkin et al. (2011) showed the evolution of the wetted
body area in time is an important characteristic of the impact, which
may influence the magnitude of the loads. Panciroli et al. (2011) found
that the impact load during water entry of deformable wedges shows
marked oscillations due to the mutual interaction between the structural
deformations and the fluid flow.
806
Proceedings of the Twenty-fourth (2014) International Ocean and Polar Engineering Conference
Busan, Korea, June 15-20, 2014
Copyright © 2014 by the International Society of Offshore and Polar Engineers (ISOPE)
ISBN 978-1 880653 91-3 (Set); ISSN 1098-6189 (Set)
www.isope.org