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• ANNUAL REPORT 2015

Modelling the hydrodynamic effects on floe

ice-structure interactions

Discrete element methods have been widely used by many

researchers worldwide to model the dynamics of broken-

ice fields and the dynamics of structures surrounded by ice.

However, despite the large number of ice-related applica-

tions of DEM described in the scientific literature, prior

development of the method has focused mainly on improv-

ing the modelling of contact interactions between ice floes

and structures, whereas the effects associated with fluid

dynamics have been largely neglected. The PhD thesis

of Andrei Tsarau, which was successfully defended in

December 2015, introduced several hydrodynamic models

that can be incorporated into DEM to improve the simula-

tion of marine operations in broken ice and to enable new

applications of the method to ice-related problems.

Flow regimes in different areas around a structure may

differ significantly from each other, i.e. the flow regime

upstream of the structure is fundamentally different

from that downstream and also from that in the wake of a

propeller if the marine structure is equipped with propel-

lers. Thus, three major topics and three corresponding

approaches were considered in the thesis:

• Potential theory was adopted to model the hydro­

dynamic effect on ice floes upstream of a structure

• The Vortex Element Method (VEM) was employed to

simulate the hydrodynamics in the downstream wake

• A special technique based on empirical formulas was

developed to predict the dynamics of ice in the propel-

ler wash of a ship.

The novel synthesis of DEM and a potential-flow model

presented by Tsarau, enabled simulations of the hydrody-

namic interactions in multi-body systems, e.g. structures

in broken-ice fields. Unlike standard potential-flow codes,

this method can handle the actual motions of bodies as they

arbitrarily move and rearrange themselves in the system.

For the first time, the formation of vortices in the flow

downstream of an offshore structure was shown to have

an effect on the spreading of broken ice in the wake of the

structure. This effect was efficiently simulated by employ-

ing VEM, demonstrating a new application of the method to

ice-related problems.

The propeller-wash effect has been used for decades in

Arctic marine operations to remove ice locally. However,

a comprehensive numerical model that can accurately

simulate such operations is presented for the first time

in Tsarau’s thesis. This model predicts the propeller-flow

velocities, calculates the hydrodynamic forces on the ice

and integrates the equations of motion of the ice cover,

which is represented by an ensemble of rigid bodies that

may interact with each other. The computations associ-

ated with collision detection and collision responses

are performed by an efficient physics engine which was

integrated with a fluid-flow model to enable hydrodynamic

simulations in the overall simulation environment.

In September 2015, a specially designed full-scale experi-

ment with the Swedish icebreaker Frej was conducted

to calibrate the prop-wash model (Figure WP4_5).

Additionally, a validation study in which previously collected

experimental data were compared with numerical predic-

tions has proved the high accuracy of the model in simula-

tions of an offshore operation in which the propeller flow of

a vessel was employed to clear channels in multi-layered

ice rubble (Figure WP4_6).

Figure WP4_5. Full-scale prop-wash test with the icebreaker

Frej. An isolated ice floe was pushed along an ice-free channel

with the propeller wash (units in metres).

Figure WP4_6. Numerical simulation of channel clearing with

the propeller wash of a ship.