The use of a maneuvering model for the optimization of the tacking procedure of an IACC sailing yacht

Date Author Mdress

October, 2007

Keuning, J.A., M. Katgert and A Mohnhaupt Deift University of Technology

Ship Hydromechanlcs Laboratory

Mekelweg 2, 26282 CD Deift

TU Deift

DelftUnlversltyof Technology

The use of a maneuvering model for the

optimization of the tacking procedure of

an IACC sailing yacht

by

l.A. Keuning, M. Katgert and A. Mohnhaupt

Report No. 1550-P 2007

Presented at the International Conference The Modern Yacht, 11-12 October 2007, Southampton, UK.

Organized by the RINA, ISBN: 978-905040-39-1

INTERNATIONAL CONFERENCE

THE MODERN YACHT

11 - 12 October 2007, Southampton, UK

PAPERS

THE ROYAL INSTITUTION OF NAVAL ARCHITECTS

© 2007: The Royal InstitutiOn of Naval Architects

The Institution is not, as a body, responsible for the opinions expressed by the individua1-authorsor speakers

THE ROYAL INSTITUTION OF NAVAL ARCHITECTS

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ISBN No: 978-l-905040-39-1

RINA

THE MODERN YACHT

The Modern Yacht, Southampton, UK

CONTENTS

What Rules and Regulations Should You Apply to the Construction of Mega

Yachts Over 3000 GT?

J. Strachan, Burness Corlett - Three Quays, UK

B. Mclligott, Lloyd's Register of Shipping, UK

United Kingdom Regulation of Yachts.

15

W. Ralph, Maritime and C'oastguard Agency, UK.

New Rulés For New Designs.

. 23

Thiberge, B. Collier and M Pachot, Bureau Ventas, France.

Development and Implementation of Heideck Requirements for Yachts.

31

I. Lardner, Maritime and C'oastgzard Agency, UK.

RCD Scantling Assessment Process - A UK Notified Body Evaluator's

37

Perspective.

R. Loscombe Southampton Soient University /RYA. scantling evaluator, UK

Multi Faceted Inspection of Composite Marine Structures.

47

R. Gregory, Composite Inspection Ltd, UK

New RINA Approach for Structural Scantlings in GRP Yachts.

*

L. ScarpatiandF. Cartti, R[NA, Italy.

Impact on Marine Laminates.

53

L. & Sutherland and C Guedes Soares, Technical University of Lisbon, Instituto

Superior Técnico, Portugal

Custom Composite Structural Design of Components For The Modern

63

Superyacht.

A. Shimell, and M Eaglen, J. Anderson, High Modulus, New Zealand

Project Gemini - Design Development and Engineering of The World's Largest

71

Saffing Catamaran.

i Lawless, J. Roy and J. Bonafoux, BMTNigel Gee Ltd. UK

M Maurios, Van Peteghem - Launiot Prévost. France.

"Into The

21st

Century" - The Shape of Superyachts To Come?

. 79

R. Harvey, Ray Harvey Design / Southampton Soient University, UK

Noise and Vibration Considerations in Mega Yachts.

91

M Insel, Istanbul Technical University and Turkish Loyd, Turkey

YUnsan, Istanbul Technical University, Turkey

ASTTan g, Hong Kong Institute of Vocational Education, Hong Kong SAR, China

The Voller Energy Concept Fuel Cell Yacht.

101

R. Olingschlager, Voller Energy, UK

The Modern Yacht, Southampton, UK

© 2007. The Royal Institution of Naval Architects

Aerodynamic of Modern Square Head Sails : A Comparative Study Between

107

Wind-Tunnel Experiments and RANS Simulations

A. B. G. Quérard, University of Southampton, UK

P. A. Wilson, University of Southampton, UK

Measürement of Accelerations and Keel Loads on Canting Keel Race Yachts

115

M Hobbs And P. Manganelli, SP, UK (* SP is The Marine Business of Gurit

Are Daggerboards and Trimtabs Necessary When Sailing Upwind With.A

123

Canting Keel?

G. S. Barkley, Southampton Soient University, UK

D.A. Hudson and S.R. Turnock University of Southampton, UK.

D.R.B. Spinney, BMT Defence Services Ltd, UK

The Use of a Maneuvering Model for The Optimization of The Tacking

135

Procedure of an IACC Sailing Yacht.

J. A Keuning and M Katgert, Delfi Shiphydromechanics Laboratory, The Nether1ands

A. Mohnhaupt, United Internet Team, Germany.

Including Human Performance En The Dynamic Model of A Sailing Yacht:

143

A Matlab®-Simulink® Based Tool

M Scarponi, and P. Gonti, University of Perugia, Italy.

R. A. Shenoi and S R. Turnock, University of Southampton, UK

Hydro-Impact and Fljiid Structure Interaction of Racing Yacht.

157

F.J. Lee andP.A. Wilson, University of Southampton, UK

Authors' Contact Details

165

The Modern Yacht, Southampton, UK

TIlE USE OF A MANEUVERING MODEL FOR TIlE OPTIMIZATION OF TRE

TACKING PROCEDURE OF AN IACC SAILING YACHT

J A Keuning and M Katgert, Dem Shiphydromechanics Laboratoiy, The Netherlands A Mohnhaupt, United Internet Team, Germany

SUMMARY

Following previous papers on the formulation of a maneuvering model for sailing yachts by Deffi Shiphydromechanics

Laboratory, further improvements have been made to a number of the generic expressions originally presented to

determine the coefficients of this model. In particular the side force production by the keel and the rudder, also in each others presence, has been improved. New experimental results have been incorporated to account for the influence of downwash and heeling angle.

In cooperation with the 2007 JACC team United Internet Team Germany the model has been used to get more insight in what is going on during a tack and if possible to find ways to optimize the tacking procedure. With the data available from both dedicated tests with the design in the wind tunnel and the towing tank the coefficients in the maneuvering

model have been fine tuned to fit the German IACC contender. Subsequently the model has been used to analyze

different rudder and trim tab operating procedures to find an "optimal" tackingprocedure. The results of this study are presented here.

NOMENCLATURE

CL Lifi coefficient CD Drag coefficient

CD+I Drag + induced drag coefficient

13 Leeway angle

cb Downwash angle

Are Effective aspect ratio I. INTRODUCTION

In 2004 and 2005 De Ridder, Keuning and Vermeulen [Ref 1] presented a mathematic model for the

maneuvering of a sailing yacht. This model was based on a model presented earlier by Masuyama [Ref 2]. For the

determination of the hydrodynamic coefficients of the

maneuvering model Keuning and Vermeulen presented

generic expressions by making use of the extensive

results of the Dem Systematic Yacht Hull Series

(DSYHS) and for some of the particular forces and moments in yaw they relied on expressions developed

earlier in 2003 by Keuning and Vermeu.len and presented

in [Ref 3]. For the determination of the aero forces and

moments in the maneuvering model use was made of similar expressions as used in the Velocity Prediction

Program (VPP) of the Lnternational Measurement System (ilvIS). For

a more detailed

déscriptioti of the

maneuvering mathematical model reference is made to these publications because such a description is outside the scope of the present paper.

The simultaneous solution of all the coupled equations of

motion of the maneuvering model in surge, sway, roll and yaw in the time domain yields a simulation type

result. This enables all the variables to be plotted against

the time during the maneuvers and so their mutual

relations in the time can be viswli7ed. Also by imposing different-procedures onihe input signalssuch as forward speed, rudder and trim tab action, the rudder and trim tab

© 2007: The Royal Institution of Naval Architects

procedure could be optimized for,

as an example,

minimal speed loss.

It was exactly this kind of use that brought the United

Internet Team Germany to contact the Dem University to

investigate the possibility for a joint research in the

possible application of the aforementioned model for an IACC type of boat tack optimization.

From the onset of the project it was clear that not all the generic coefficients would yield accurate results for an IACC type of boat, because quite a few of the parameters describing the hull and appendage geometry are far out

of the range covered by the DSYHS. Therefore the

results

of tank

tests, wind tunnel tests

and D

calculations, carried out by the United Internet Team of Germany on their IACC design, were used to reformulate

or replace the appropriate terms in the equations of

motions. By doing so, a more "dedicated" version of the maneuvering model was generated for use in this specific project. It should be noted that the formulation of the set of overall equations in the dedicated model was kept the

same as

with the

original maneuvering model, as presented in [Ref 1-].

Using the onboard measurement system of the IACC

boat a series of full scale tests have been carried out to

validate the results of the simulations using this now

dedicated model. These comparisons were made with- the

boat sailing on a straight and steady course as far as

possible.

If these

results showed a

good enough correlation between the simulations and the full scale measurements the next step was to use various rudder

and trim tab procedures in the model and to find the best

possible procedure. In the optimizing process special attention was paid to the variation in time during the

cxccuted-taek-of-the-effcctjvc angle-of attack.ofthe_water

136

flow on the rudder, due to the changes in forward speed, the downwash of the keel and the rate of turn in yaw, and the effect of the resistance increase due to the turtiing of the boat.

2. MODIFICATIONS TO THE

MATHEMATICAL MODEL

Alter careful examination of the various force and

moment components in the mathematical model and the data from which they were derived as well as considering the more specific data available for the IACC boat it was decided that the following modifications to the orginal model should be carried out:

In the original model no provision was made for the presence of a trim tab on the keel. In the dedicated model

this presence should therefore be accounted for. This

resulted in a change (shift) of the lift curve slope with the angle of attack and a change in the drag coefficient, all these as function of the trim tab angle.

In the original model no provisIon was made for the

presence of a (large) bulb underneath the keel. In the

dedicated model the drag of this bulb should be

accounted for. Also its effects on the overall moments of

inertia and the influence of the added mass should be

taken into account.

The trim tab angle should be brought into the

simulation model as an independent and time dependent variable (i.e. as an input variable).

2.1 HYDRODYNAMIC MODIFICATIONS

For the determination of the hydrodynamic forces and moments on the hull and appendages the following

calculation methods were used:

The mass moment of inertia of the boat in roll and yaw were calculated using the known weight calculation

of the boat.

The added mass of the hull, the fin and the rudder

were calculated using the generic method as presented in

the original model. This is in principle based on a two

dimensional strip theory approach, as is quite common in ship motion calculations.

The added mass moment of inertia for roll and yaw

were taken from the generic model but now with the

added mass of the bulb, as determined using known 2-D strip theory like methods, added. One important addition to the original method was made however. In this generic model, the sectional area coefficient in upright condition

was used for the yaw calculations in both upright and

heeled condition.

To make this

calculation more

te. the sectional area coefficient under heel was

also determined.

The Modern Yacht, Southampton, UK

The hydrodynalflic forces and moments generated by

the rudder are derived using the generic method of the original model. An addition to the model was made by introducing the possible effects of stall on the rudder. In

the model the effective angle of attack and the water

velocity on the appendages is calculated making use of vector summation of all the velocity components involved at the rudder plane (i.e. due to roll, yaw, sway etc) at 43% of the span of the rudder and at the quarter chord point. Additional information is now required on

the stall angle of the particular rudder (and if deemed

necessary of the keel). This is determined using available

inforrnaton in the open literature. Based on this angle

and the dCL/dß of the rudder (and keel) the lift curve in a wide range of angles of attack may be constructed. An

example of this is depicted in Figure 1.

It should be noted that during all the simulations carried out in the context óf the present study the possibility of

stalling either the keel or the rudder was avoided.

p

The dC1Jd/3 of the keel is derived using the towing tank tests results, with addition of an extra input of the trim tab angle. The dC1/d/3 of the rudder comes from wing

theory by Whicker and Febhier Ref 4].

The hydrodynamic resistance of the hull, i.e. the

residuary resistance, is derived from the towing tank

tests, because the hull parameters deviate considerably

from the range covered by the DSYHS. To show the considerable difference in Figure 2 the results of the residuary resistance calculation using the expressions

derived from the DSYHS for this IACC hull are

compared with the results obtained from the towing tank.

The hydrodynamic resistance of the appendages, i.e. the frictional resistance and the form drag, is taken from

the wind tunnel tests with the appendages.

The hydrodynarnic forces in sway on the hull and the

appendages under influence of leeway are taken from the towing tank results. in the generic model, the side force is calculated using different procedures: the side force due to the roll and sway velocity are calculated using the

ormu a ions. - or

i -calcul'atiuiroftb

moment, the distribution of the side force is acquired by

© 2007: The Royal Institution of Naval Architects

-90 -60 -30 0 30 60 90

Angle of Attack

Figure 1: Example of the lift curve of the appendages

The Modern Yacht, Southampton, UK

calculating the side force distribution in upright condition

based on the Equivalent Keel Method (EKM), see

Keuning and Venrieulen [Ref 2]. The DSYHS

fonnulations were originally not suited for higher aspect ratio keels. After an improvement in the determination of the coefficients [Ref 5] these formulations still were not completely valid for appendages with such a very high

aspect ratio like the ones usual on IACC yachts..

.-

IACC Tank test values

- DSYHS Calculated

values

Velocity

Figure 2: Residuary resistance comparison

8. For the rudder, a reduction of the effective angle of attack on the rudder due to downwash of the keel is

added, as described in [Ref 5], according to:

Ic

D=a0 I_

A Re

With the following values for the coefficient aO:

In [Ref 5] also a velocity reduction near the rudder due to the wake of the keel is used. In the case of the IACC this is not deemed appropriate due to the large keel - rudder separation and the high aspect ratio of the keel, the small chord of the keel (c) and the low relative thickness (tic)

of the keel.

The hydrodynamic forces due to the roll and yaw

motions, i.e. the velocities and accelerations, are

determined using the generic expressions of the original

model.

The hydrodynamic yaw moment on the hull due to the leeway angle is taken from the towing tank results, the effects of the trim tab are taken from the wind tunnel

tests and the yaw moment due to the yawing angular

velocity is taken from the generic method of the original

model.

Il. The hydrodynamic roll moment on the hull due to the drift and roll angular velocity is talcen from the

towing tank tests.

© 2007: The Royal Institution of Naval Architects

12. In the generic model the heeling angle was restricted to 30 degrees, due to the fact that this was the limiting heeling angle used in the tests of the DSYHS. From full scale experience however it was known that this was not enough for an IACC yacht. An increase in the maximum

allowable heeling angle was deemed necessary. To

enable this increase the necessary extra information was

generated.

2.2 AERODYNAMIC MOD[FICATIONS

For the determination of the aerodynamic forces and

moments on the sails the following calculation methods

are used:

The aerodynamic forces and moments on the sails

are determined from results of Computational Fluid Dynamics (CFD) calculations and from wind tunnel tests. This was necessary because the sail plan of the

present IACC designs deviates so much from the "usual" sail plans, that the IMS sail coefficients, which are used

in the original generic model, were considered to be

inapproprfate. The actual lift and drag coefficients of the

IACC rig, as used in the simulations, are presented in

Figure 3. From these results it may be seen that the lift coefficients are becoming smaller with increasing wind speed to achieve the desired "de-powering" effect. With these coefficients and the associated shifts of the Center of Effort of the aerodynamic forces on the sails both in height and in longitudinal direction, it was found that the

modeled sailing parameters, i.e. forward speed and

heeling angle, corresponded sufficiently with the results

obtained from the full scale measurements. The drag

coefficients below an apparent wind angle (AWA) of 7 degrees are tailored to take into account the additional resistance of the sails due to flogging and back windage during the tack.

1.6

1.4

1.2

-o08

-00.6

0.4

-0.2 0.0 Aerodynamic Coefficients 0 30 60 90 120 150 180 AWA [deg]

Figure 3: The lift and drag coefficients of the sails for true windspeeds 8, 12 and 16 knots

The aerodynamic inertia of the sails such as the

added mass and the added mass moment of inertia in roll

and yaw are taken from potential flow approximations.

137

00 150

138

3. VALIDATION OF TILE MODEL USING

FULL SCALE MEASUREMENTS

In order to be able to validate the results of the

simulations, full scale measurements taken onboard the

actual boat have been compared with the results of the

calculations. in order to be able to do this the results of the -onboard measurement system have been used. The full scale IACC boat was equipped with Racing Bravo, which is an electronic and computer navigation system with distributed acquisition and centralized processing. It

consists of a network of modules that transfer the

information from the instruments or sensors by means -of, a single cable with CAN technology to a PC on which all the data processing for navigation is performed.

For the tracking of the boat a high precision GPS system "OmniSTAR" was used, which is a wide-area differential GPS service, using 10 Hz satellite broadcast techniques.

Data from many widely-spaced reference stations are

used in a proprietary multi-site solution to achieve

sub-meter positioning.

For the course angle and for the correction of the mast twist electronic compasses "MicroStrain 3DM-GX1" were used: one in the boat and one at the mast top. It

provides with its 3D-accelerometer3D magnet field, and 3D-gyro the 3D-acceleration-, 3D-magnetic field-, and 3D-position-vector as an RS232 output.

The boat speed through the water was measUred by a standard B&G paddle wheel log. The wind speed, the wind direction and the inclinometer are also standard

B&G instruments.

Rudder and trim tab angle were measured by a "wire

over potentiometer" type of displacement meter, with the string attached to the rudder shafi and to a trim tab tiller.

respectively.

The parameters recorded for the analysis of the stationary motions and the tacks are listed below. Also presented is

a -short summary of those variables that should preferably

also be measured to get the full picture but which were not during the present study.

Parameters recorded Boat speed Rudder angle Trimtab angle Heeling angle Apparent wind angle Apparent wind speed Calculated true wind angle

Calculated true .wind speed

Heading (Course angle) Longitude

Latitude

-Parameters not recorded

Wind shear Wave height Wave front direction Current strength -Current direction Leeway angle

The same instrumentation is used later in the project to

compare the results of the simulations with those of

onboard recordings (measurements) durng the various executed tacks. Due to the limited available space in this

presentation results will only be presented of these

comparisons during the tacks. It can be stated however that the comparison between the measured data, obtained during full scale trials on board the IACC boat sailing on

a steady straight line course in a constant wind speed, and the simulated results using the dedicated model

showed that these were close enough to consider the use

of the model

simulations quite adequate for the envisaged optimization of the tacking procedure.

4.

UTILISATION OF THE MODEL TO

OPTIMIZE 'iHI TACK BY VARIATION

OF THE RUDDER AN]) TRIM TAB

ACTIONS

To optimize the tack a few starting conditions had to be

chosen:

the investigation was carried out for a true wind

velocity of 11 .Skn,

the steady state rudder angle was chosen to be

+1- 4.5 degrees and

the trim tab angle was chosen to be +1- 6

degrees, which corresponds to the numbers used

on the real AC boat.

The purpose of the present project was to optimi2'e tacks by varying the rudder and trim tab action. Input for the so

called rudder- and trim tab scenes were polygons of

angle over the time. The corners of the polygons were rounded by splines. Since the polygons were planned to have up to 12 comer points, an optimization strategy was needed besides monitoring the, resulting distance loss.

Since the effective angle of attack of the rudder is a

combined measure of rudder action and the (resulting) boat motion, this parameter was chosen as an indicator of a successful modification of the rudder scene. Therefore the initial target was to vary the rudder scene to achieve a smooth effective rudder angle vs. time curve, which is

assumed to minimize rudder and keel resistance.

The optimization process started with RSO. The resulting

pattern of the effective rudder angle was analyzed and the rudder scene was modified to RS 1. This process was r-epeated in 9 more s1c'pS h, Figure 4 the input anles of the four most illustrating rudder scenario's are presented,

The Modern Yacht, Southampton, UK.

'i

The Modern Yacht, Southampton, UK

and in Figure 5 the _{geometric, change in rudder angle,}

i.e. the actually applied rudder by the helmsman, during the tack as function of the time is shown.

Rudder Scenes 25 20 15

0

Ec o cl)< CD _..5 -10 35 25 20 ' 15

.10

e

C)5

<0

-5 -10 35 8 G, O) C

<

4-.0

-O)

Ee O

₀ E o e (D - TSO TS 1

- TS2

Geometric Rudder Angle

40 45 50 55 60 65

Time [sec]

Figure 5: Applied rudder scenes

Since the boat is normally sailing with a trim tab angle of

6. degrees to leeward, this angle was also used for the

steady state condition at the steady course just before and after the tack. All the optimization variations were done

by using the trim tab scenario TSO. It should be noted

that the trim tab scenario, i.e. change in trim tab angle,

started 10 seconds after the beginning of the actual

rudder action. To assess the effect of a delayed trim tab action, trim tab scenario's TS1 and TS2, with 2.5 and 5 sec. delay respectively when compared to scenario TSO, are presented also and depicted in Figure 6. These varied

trim tab scenarios were also used for the simulation

together with the rudder scenario's RSO to RS9.

Tnmtab Scenes

40

4550

55

Time [sec]

igure-6: Geoinetrictrimtab..scenes

© 2007: The Royal Institution of Naval Architects

-.-RS1 --RS4 RS7 -.-RS9

RS1

-*-RS4

RS7

-.-RS9

60 65

In Figure 7 the effective angle of attack of the rudder for

the various rudder scenarios is depicted. This was the

value to which the rudder scenarios were optimized. In

Figure 8 the effective angle of attack of the rudder for

one rudder scenario and the various trim tab scenarios is

shown. These graphs

clearly show the

difference

between the geometrical and effective rudder angle. It

can also be seen that the trim tab changes the effective rudder angle, because it alters the turning motion of the

boat. Rudder scenario 9 (RS9) delivers the smoothest

effective rudder angle curve. This should have its effects on the results of the tacking maneuver.

In Figure 9 the 'Distance Lost' due to the tacking

maneuver, can be found. This is the distance the boat

could have been sailing extra if

it had not tacked,

maintaining its speed before the tack. The calculation of this distance is shown in Figure 10; method i is used in the model. The influence of the trim tab scenarios on the distance lost is shown with this graph: the difference in

the distance lost for the various trim tab scenarios is

greater than the difference due to rudder scenario.

Effective Rudder Angle During Tack with TS2

10

0

C, -10 -15 35 40 45 50 55 60 Time [sec]

Figure 7: Effective rudder angle during tack for various rudder scenes

e0

C) C

15 Effective Rudder Angle During Tack with RS9

10

--10 -u- ISO -*-TS1

- TS2

65

Figure 8 Effective rudder angle during tack for various trim tab scenes

139

40 45 50 55 60 65

Time [sec]

Figure 4: Input rudder scenes

65 -15

35 40 45 50 55 60

140'

Distance lost during tacks

ti VsI tO VsO s ti LTSO UTSI L1TS2 Methød2 TI = sONsO + stNst dT TI.ti-tO} ds VsldTC08(betaij Ssthod1: s2 = VsO'tt-W) ds (s2 -sorcos(betao) -StCOS(betai)

Figure 10: The calculation of the distance lost

Finally, a look at the boat velocity during the tack and

the velocity made good (VMG), the velocity towards a

windward point, based on boat velocity and course,

shows the differences between the rudder- and trim tab scenarios; In Figure 11 and 12 the influence of the rudder and trim tab scenarios on the boat velocity can be seen and in Figure 13 and 14 the influence of the rudder änd trim tab scenarios on the VMG is shown. Regarding the

boat velocity, it is clear once again that with RS9 the

boat has regained its speed alter the tack earlier than the

other rudder scenarios. Here, also the influence of the

trim tab scenario is evident: with TS2 the boat regains its speed earlier and yields the highest speed after the tack. The influence of the trim tab on the VMG is rauch less pronounced than its influence on the boat velocity.

4.9 4.7

45

43

4.1 .0) -.3.7 3:5 35 Figure Ii: 4.5 4.0 'o . 3.5

o-3.0

>

2.5 2.0 35 Figure 13: 4.5 4.0. (n 3.5

o

_3.0

>

2.5

-2.0 35 Figure F4:

Boat: Velocity During Tack With 1S2

Boat Velocity During Tack With RS9

TSO -*- TS1

- TS2

The Modern Yacht, Southampton, UK

VMG DúrinLgTack With TS2

VMG During Tack With RS9

--RS1 -*-RS4

RS7 -.-RS9

40, 45 50 55 .60 65 70 75 E

Time [sec].

Velocity madjUÇydurmg tack

with various trim tab scenes

© 2OQ7 The Royal Institution ofNaval Architects

RS i RS4 :RS7 RS9

Rudder Scenes

Figure 9: Distance lost duriñg tack for various rudder and trim tab scènes

W.IND 4.8 4.6 ' 4.4 4.0 3.8 3.6. 3.4 35 40 45 50 55 60 65 70 75 Time [sec]

Figure 12: Boat velocity during tack for various trim

tab scenes

40 45 50 55 60 65 70 75

Time [sec].

Boat velocity during tack for various rudder

scenes

40 45 50 55 60 65 70 75

Time [sec]

Velocity made good (VMG) during tack

The Modern Yacht, Southampton, UK

5. CONCLUSION

From the results of the simulations compared with the

real time measurement data, it may be concluded that the dadicated model can be used to quantify and qualify the influence of variation of parameters on the outcome of a

tacking procedure. Based on the combination of the

model with the experimental data, a parameter otherwise very difficult to measure, the effective attack angle of the

rudder, could be simulated in order to find the best

tacking maneuver. This will make the model suitable for comparable exercises in the future.

6. ACKNOWLEDGMENTS

The writers of this paper would like to show their

gratitude to the United Internet Team Germany for

making theirmeasurement data available for this paper.

7. REFERENCES

Keuning, J. A. , Vermeulen, K J. and de Ridder,

E.

J.. A generic mathematical model for the

manoeuvring and tacking of a sailing yacht. Chesapeake Sailing Yacht Symposium, 2005

Masuyama, Y. Fukasawa, T. and Sasagawa, H.

Tacking simulation of a'sailing yacht - numerical integrations

of

equations

of

motion and

application

of

neural network technique. Chesapeake Sailing Yacht Symposium, 1995

Keuning, i A. and Vermeulen, K J.

The yaw balance of sailing yachts upright and

heeled. Chesapeake Sailing Yacht Symposium, 2003

Whicker, L. F. and Fehiner, L. F.

Free-stream characteristics of a family of low aspect ratio control suifaces. Technical report

933 David Taylor Model Basin, 1958

Keuning, J. A., Katgert, M and Venneulen, K J.

Further analysis of the forces on keel and rudder

of a sailing yacht. Chesapeake Sailing Yacht

Symposium 2007

© 2007: The Royal Institution of Naval Architects

8. AUTHORS BIOGRAPHIES

Axel Mohnhaupt is principal designer of the German

AC challenge United Internet Team Germany. He is also

research advisor of the 1TC of the Ocean Racing

Congress.

Lex Keuning

is associate professor at the Ship

Hydromecharncs Laboratory of the Delfi University of Technology. He has been responsible for research on the

Deffi Systematic Yacht Hull Series and also research

advisor of the ITC of the Ocean Racing Congress.

Michiel Katgert is member of the research staff of the

Ship Hydromechanics Laboratory of the Delfi University of Technology. He is responsible for carrying out towing

tank research.

141