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Mercury Marine - mdx2.plm.automation.siemens.com · Mercury Marine 2 Division of Brunswick Corporation ... Introduction 3 Primarily into outboard motors ranging from 2.5 to 400 hp,

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Mercury Marine

2

Division of Brunswick CorporationBased in Fond du Lac, WI

Corporate OfficesTechnology center, R&D officeOutboard and Sterndrive manufacturing plants (Casting, Machining, Assembly)

Introduction

3

Primarily into outboard motors ranging from 2.5 to 400 hp, inboards and sterndrive ranging from 135 to 430 hp

Diesel Engines ranging from 115 to 370 hpMercury Racing is a separate division for racing engines tailored for higher horsepower and speed. Racing engines go up to 1650 hp

STAR-CCM+® Applications

4

External FlowGearcasePropellerBoat

Undercowl Air and Thermal management

STAR-CCM+ Applications

5

Brunswick Boat Group, a division of Brunswick CorporationBoat Heave and Pitch Analysis Boat Hull Shape AnalysisBoat Trailing Wake Analysis

Geometry Description

6

Geometry Description

7

Front View Isometric View

Strut

Torpedo

Skeg

Anti-Ventilation Plate

Water Inlets

Aim

8

To understand Gearcase behavior and loadingForces and MomentsCenter of PressureCavitation

To understand the sensitivity of performance to steeringTo quantify Gearcase Frequency

Example of Gearcase under heavy load condition

Aim

9

Steering and mount system is connected to the GearcaseHigh hydrodynamic loading on the Gearcase due to:• Speed• Boat wake effects• Cavitation• Venting due to the water surface

High loads affects Gearcase motionUsing CFD to quantify the Motion

Outboard engine mounted using brackets on the boat stern

Solution Approach

10

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

CFD Analysis Replicating a water tunnel test

Results

Iter

ati

on

s

Solution Approach

11

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

CFD Analysis Replicating a water tunnel test

Results

Iter

ati

on

s

Experimental Boat test Approach

Solution Approach

12

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Solution Approach

13

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

Solution Approach

14

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

Analytical Approach

Solution Approach

15

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

Solution Approach

16

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

DFBI Analysis

Gearcase Yaw Motion

FFT

Gearcase Frequency

Solution Approach

17

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

DFBI Analysis

Gearcase Yaw Motion

FFT

Gearcase Frequency

DFBI Approach

Solution Approach

18

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

DFBI Analysis

Gearcase Yaw Motion

FFT

Gearcase Frequency

DFBI Method

Analytical Method

Experimental Boat Test

Method

Solution Approach

19

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

DFBI Analysis

Gearcase Yaw Motion

FFT

Gearcase Frequency

DFBI Method

Analytical Method

Experimental Boat Test

Method

Quasi-Steady Analysis Formulation

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Gearcase Forces:

The varying pressure along the gearcase surface will create net forces

Pressure times Area

Based on the forces, drag lift and side force coefficient is defined

Drag:

Lift:

Side Force:

Drag

LiftSide Force2

D

VAρ2

1

DragC

ρ = density of water A = Projected surface areaV = boat velocity

2L

VAρ2

1

LiftC

2SF

VAρ2

1

Force SideC

Gearcase Moments

Force times perpendicular distance about the axis of rotation

Moments are named based on the direction of the axis

Propeller torque affects Gearcase Roll

Overall steering of the boat affects Gearcase Yaw

Gearcase Pitch moment controls the boat level on water

Quasi-Steady Analysis Formulation

21

Roll Yaw Pitch

Quasi-Steady Analysis

22

Replicating a water tunnel testDomain Length is about 10 to 15 times the Gearcase lengthDomain height and width is about 7 to 8 times of the corresponding Gearcase dimensions

L

H

10L-15L

7H-8H

Mesh

23

Volume Meshing using:Surface remesherTrimmed cell mesherPrism layer mesher

Density Box used for refining the air water interfaceDensity Cone used refining water exhaust interfaceTotal mesh size is appx. 1.3 million cells

Segregated Flow

Implicit Unsteady

Realizable K-ε turbulence model

Eulerian Multiphase Mixture Model

– Air

– Water

– Exhaust

– Vapor

Volume of Fluid (VOF) Method

VOF Phase Interaction with Cavitation

– Primary Phase: Water

– Secondary Phase: Vapor

VOF Waves

Physics Model

24

Boundary Conditions

25

a

aa

a

b

a Velocity Inlet

b Pressure Outlet

c Mass flow inlet of exhaust into the domain

Flat VOF Wave:

Speed

Point on water level

c

Results: Gearcase Sensitivity to Steering Angle

26

Pressure Coefficients at different steer angles show cavitation zones

It also highlights zones more prone to cavitation

Results

27

Cavitation at different Steering angle:

Water Surface behavior and Venting:

Hardware Used

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Head Node: 128 GB RAM, 12 cores8 CPU Compute Nodes allotted for CFD runsEach CPU consists of 16 cores and 64 GB RAMA complete quasi-steady run of 1.3 million mesh size can be converged and completed within 3.5 hours on 32 coresThe error in the drag numbers compared to the maximum mesh size was 0.8%

Solution Approach

29

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

DFBI Analysis

Gearcase Yaw Motion

FFT

Gearcase Frequency

DFBI Method

Analytical Method

Experimental Boat Test

Method

Solution Approach

30

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

DFBI Analysis

Gearcase Yaw Motion

FFT

Gearcase Frequency

DFBI Method

Analytical Method

Experimental Boat Test

Method

For all cases, side force is assumed linearly proportional to gearcase rotation (q) acting through the center of pressure

For the simple initial case, side force is

proportional to CSF and q

Gearcase is fixed to rotate about the steering axis.

Gearcase rotation causes a hydrodynamic side force proportional to CSFq at a distance dfrom the steering axis (+d is forward of steering axis, -d is behind steering axis)

The engine has a rotational Inertia Icg about its center of gravity a distance ‘r’ from the steering axis.

1 Degree of Freedom Gearcase Motion Formulation

31

FGC

q

Steering Axisds

CG

r

𝐹𝐺𝐶 =𝑑𝐶𝑆𝐹𝑑q

q1

2𝜌𝐴𝑣2

Solution Approach

32

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

DFBI Analysis

Gearcase Yaw Motion

FFT

Gearcase Frequency

DFBI Method

Analytical Method

Experimental Boat Test

Method

Solution Approach

33

CAD

Quasi-Steady Analysis

Forces, Moments, CP, Cavitation

Gearcase Design Change

Boat Test on Water

Boat Behavior, Frequency

Analytical Model

Gearcase Frequency

DFBI Analysis

Gearcase Yaw Motion

FFT

Gearcase Frequency

DFBI Method

Analytical Method

Experimental Boat Test

Method

To implement the initial analytical case in CFD, One degree of freedom Rotating motion using Dynamic Fluid Body Interaction (DFBI) was used

DFBI for Gearcase Motion in STAR-CCM+

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Motion

DFBI Rotation and translation

DFBI

6-DOF Bodies

Body-1

One-DOF Rotating Motion

CGLocation

Body-1

Steering Axis

Body-1 Properties:Body-1 mass = Mass of the engine

Steering Axis is the axis of rotation

Engine Mass and CG Location used as specified in the picture

Moment of inertia considered about CG

Gravity Considered

DFBI Results

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The DFBI response curve shows the transient motion of the Gearcase about the steering coordinate systemFast Fourier Transform (FFT) of the response curve helps generate Frequency numbers, which can be correlated back to the test data as well as analytical modelResponse curves isolate the effect of input parameters

Method Normalized Frequency Response

Analytical Method 2.4

CFD 1-Dof Motion using STAR-CCM+ 1.4

Boat test 1.0

Gearcase Frequency Comparison

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Frequency obtained from the 1-DOF Motion analysis is sensitive to Boundary conditionsChanging the initial conditions with the exact boundary conditions brings the simulation closer to the real dataThe 1-DOF Frequency data will get closer to the boat test data as we add more detailed analytical models in DFBI analysis

Building a CFD model towards more detailed analytical cases

Comparing the CFD motion analysis with the boat tests

Future Work

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Case 2: Rotation and Translation at Steering Axis

Case 3: Considering different Modes of Frequency Response

Co-author: Paul Radavich

Mercury Marine Team

CD-adapco™ for all the support

Acknowledgements

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