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NEWSWAVE - HSVA

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CALCULATION OF<br />

HYDRODYNAMIC BODY<br />

FORCE COEFFICIENTS FOR<br />

TThe motion of a ship can be predicted if the hydrodynamic forces on the<br />

hull, rudder and propeller are known. The forces are a function of ship<br />

velocity and acceleration (higher order time-derivatives can usually be<br />

neglected). With a polynomial approach like:<br />

the time dependent forces can be calculated. The unknown coefficients are determined<br />

either by model-testing or calculations. A sufficiently accurate set of these<br />

coefficients is vital for a reliable prediction of the manoeuvring capabilities and<br />

thus for the design of the manoeuvring devices like rudder and thrusters in an early<br />

state of the design process.<br />

Since 1 st January 2005 the European Integrated Project (IP) VIRTUE,<br />

“The Virtual Tank Utility in Europe” works on advanced numerical simulation tools.<br />

“The Numerical Manoeuvring Tank”, being one of the 4 different CFD development<br />

fields in the project, focuses on numerical manoeuvring predictions. Within this<br />

work package a major task is a substantial improvement in accuracy, efficiency and<br />

consistency of computations for simple modes of motion like steady drift and rotation.<br />

Fig. 1 Forces and Moments on<br />

the “Hamburg Test Case”<br />

at 1.05 m/s model speed<br />

4 <strong>NEWSWAVE</strong> 2006/2<br />

News from the VIRTUE labs<br />

MANOEUVRING PREDICTIONS<br />

by Marco Schneider<br />

X=Xu u+X 2 u u u2 u+Xu u+Xu 2u 2 +Xυ 2υ 2 +Xr 2r 2 • •<br />

• •<br />

+...<br />

Fig. 2 Forces and Moments on<br />

the “Hamburg Test Case”<br />

at 1.89 m/s model speed<br />

Wake field of the<br />

“Hamburg Test Case”<br />

at 30° drift angle<br />

Comprehensive investigations on<br />

numerical discretisation, turbulence<br />

modelling, free surface flow and scale<br />

effects are performed that yield recommendations<br />

for practical applications.<br />

Based on these developments <strong>HSVA</strong><br />

sets out to deliver CFD based manoeuvring<br />

coefficients.<br />

Figure1 shows the comparison of<br />

the calculated non-dimensional forces<br />

and moments at different drift angles<br />

and velocities of the “Hamburg Test<br />

Case” with experiments. The calculations<br />

were performed with the<br />

Reynolds-Averaged Navier-Stokes<br />

Equations (RANSE) solver Comet. In a<br />

first approach the deformation of the<br />

free surface at speed was neglected.<br />

A double body model that uses a<br />

symmetry plane located at the undisturbed<br />

free surface has been employed.<br />

At lower ship speeds the double body<br />

model gives good agreements between<br />

experiment and simulation for the X<br />

and Y forces and the N moment. At<br />

higher speed the hydrostatic pressure<br />

generated by the bow wave (shown in<br />

Figure3) has a significant influence on<br />

the forces and thus cannot be neglected<br />

any more. Here the volume of fluid<br />

(VOF) free-surface model implemented<br />

in Comet was used to predict the forces<br />

and moments more accurately (shown<br />

in Figure2) at the cost of a significant<br />

increase of the computation time.

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