Study of Fluid Dynamics around Moth Centerboard using OpenFOAM: Advanced Course

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FOILING MOTH CENTERBOAD ON O
PEN
FOAM
COURSE: ADVANCED FLUID DYNAMICS
PROFESSOR: JAN PRALITS
STUDENT: ALESSANDRO CHIAPPALONE
INTRODUCTION
 
WHAT IS A MOTH ?
FEATURES:
LIGHT
FAST
FUNNY
 
 
 
HOW CAN IT FLY?
SETTING THE PROBLEM
TARGETS: 
Study of fluid dynamics around the centerboard with a flow of
5m/s
Determination of Cl and Cd for the centerboard in 5 different
geometries
Determination of the minimun Cl for a total weight of 100 kg 
FUNDAMENTALS PARAMETERS
:
 
 
NUMERICAL SOLVER
EQUATION TO SOLVE:
 SOLVER CHOSED: SimpleFoam
 
 
 
 
 
Based on RANS
analysis
BOUNDARY
 
CONDITIONS
The fluid domain is
represented by a
parallelepiped  with an  X
side of  12 [
m
]   an Y side
of  2.4 [
m
] and  a Z side of
2.5 [
m
].
 
X is the
streamwise direction,  Z
axe is the lift direction
(vertical). 
VELOCITY
PRESSURE
GEOMETRY
CREATED  BY USING THE
INVENTOR CAD SOFTWARE
BASED ON GARDA TOP 3
GEOMETRY
GEOMETRY
TO STUDY THE Cl
VARIATION HAS BEEN
USED 5 DIFFERENT
GEOMETRIES
MESHING
 
:
Mesh has been done in 4 steps:
BlockMesh command to make a mesh of the control
volume
       [54   8   8]
Research of the best compromise between  refinement
surfaces edges and the calculator’s power.
 
 
 
 
 
 
 
 
 
MESHING
 
USE The addLayer tool to refine the mesh close the surfaces
 
 
 
 
 
 
 
 
Incr
ease the refinement beside the centerboard where there
is turbulence.
RESULTS
Numerical simulations always need a grid convergence
study.
This study was done only on the geometry with 0° for
trailing edge flaps but it’s applicable also on the other
geometries.
RESULTS
 
Some parameter are important for a good simulation
1.
The yPlus: 
is a non dimensional quantity calculated close to wall. To have
a good simulation  this value must to be between  10 and  300.
 
 
 
 
 
 
 
 
        Residuals and time-step continuity: Residuals have to be much lower as
possible to obtain a good simulation. Generally the residuals should be
lower than 10
-4
 – 10
-5
.
 
To respect the mass conservation law it is essential
that this value is lower as possible. Usually  a number lower than 10 
-11
10
-12 
is acceptable.
 
How is possible to obatain this
value?
 
It is necessary to work on the mesh and
in particular on the layers near the
walls. (RefineWallLayer)
RESULTS
Pressure and Velocity
:
 
And for the symmetric profile?
RESULTS
WATH ABOUT THE Cl-Cd VALUES AND TRENDS ?
RESULTS
 
To find the minimum value needed of C
L 
for 5 m/s we
supposed a total weight of 100 kg (boat + skipper).
 
 
 
 
 
The solution give:
                C
L
= 0.834
 
 
 
where
CONCLUSION
We obtained that : 
Lift is generated with a NACA 63412 in each case except the case
with -10° flap’s angle.
The angle with lower drag and a positive lift is -5° 
To lift a total weight of 100 kg ( boat + skipper) it is necessary work
with a flap angle higher than 0° with a speed of 5 m/s
 FUTURE DEVELOPMENTS 
The flap’s angle is determined by the speed of the  ship trough the
sensor called wand (reported in figure 1.1. )
The hull surging over the sea level causes a big drag fall which is not
considered in this study.
Improve the speed variation to study lift and drag in function of  the
hull’s velocity.
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Dive into the advanced fluid dynamics course focusing on the foiling moth centerboard simulated on OpenFOAM. Explore the features of a moth, set targets for the study, choose the numerical solver, define boundary conditions, create geometry, meshing, and analyze results through numerical simulations.

  • Fluid Dynamics
  • Moth Centerboard
  • OpenFOAM
  • Numerical Simulation
  • Advanced Course

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  1. FOILING MOTH CENTERBOAD ON OPENFOAM COURSE: ADVANCED FLUID DYNAMICS PROFESSOR: JAN PRALITS STUDENT: ALESSANDRO CHIAPPALONE

  2. INTRODUCTION WHAT IS A MOTH ? FEATURES: LIGHT FAST FUNNY HOW CAN IT FLY?

  3. SETTING THE PROBLEM TARGETS: Study of fluid dynamics around the centerboard with a flow of 5m/s Determination of Cl and Cd for the centerboard in 5 different geometries Determination of the minimun Cl for a total weight of 100 kg FUNDAMENTALS PARAMETERS: Variable Mean Unit Value c Water Velocity [m/s] 5 L Characteristic Length [m] 0,11 Kinematic Viscosity / [m2/s] / 1.2 10-6 458332 Re

  4. NUMERICAL SOLVER EQUATION TO SOLVE: SOLVER CHOSED: SimpleFoam Based on RANS analysis

  5. BOUNDARYCONDITIONS VELOCITY PRESSURE The represented parallelepiped with an X side of 12 [m] of 2.4 [m] and a Z side of 2.5 [m]. streamwise direction, axe is the lift direction (vertical). fluid domain by is a an Y side X is the Z

  6. GEOMETRY CREATED BY USING THE INVENTOR CAD SOFTWARE BASED ON GARDA TOP 3 GEOMETRY Span [mm] Section Chord[mm] Centreboard NACA 0012 1000 120 NACA 63412 860 110 Centreboard Foil

  7. GEOMETRY Trailing edge flap s angle CAD Model -10 TO STUDY THE Cl VARIATION HAS BEEN USED 5 DIFFERENT GEOMETRIES -5 0 5 10

  8. MESHING :Mesh has been done in 4 steps: BlockMesh command to make a mesh of the control volume [54 8 8] Research of the best compromise between refinement surfaces edges and the calculator s power.

  9. MESHING USE The addLayer tool to refine the mesh close the surfaces Increase the refinement beside the centerboard where there is turbulence.

  10. RESULTS Numerical simulations always need a grid convergence study. This study was done only on the geometry with 0 for trailing edge flaps but it s applicable also on the other geometries. CL CD Cell s number 136000 1,0802 0,384936 643000 0,84637 0,248135 1550000 0,849123 0,269452 2550000 0,860901 0,279953 3740000 0,859068 0,276287

  11. RESULTS Some parameter are important for a good simulation The yPlus: is a non dimensional quantity calculated close to wall. To have a good simulation this value must to be between 10 and 300. 1. How is possible to obatain this value? Trailing edge flap s angle Centerboard s yPlus max Ship s yPlus max 295 186 -10 280 150 -5 It is necessary to work on the mesh and in particular on the layers near the walls. (RefineWallLayer) 10 260 175 165 0 255 145 5 165 Residuals and time-step continuity: Residuals have to be much lower as possible to obtain a good simulation. Generally the residuals should be lower than 10-4 10-5. To respect the mass conservation law it is essential that this value is lower as possible. Usually a number lower than 10 -11 10-12 is acceptable.

  12. RESULTS Pressure and Velocity: Flap s angle Pressure Distribution Velocity Distribution -10 -5 0

  13. 5 10 And for the symmetric profile?

  14. RESULTS WATH ABOUT THE Cl-Cd VALUES AND TRENDS ?

  15. RESULTS To find the minimum value needed of CL for 5 m/s we supposed a total weight of 100 kg (boat + skipper). Variable Mean Unit Value where c Water Velocity [m/s] 5 A Approximated foil area [m2] 0,094 Water Density Boat Weight Force [Kg/m3] [N] 1000 981 mg The solution give: CL= 0.834

  16. CONCLUSION We obtained that : Lift is generated with a NACA 63412 in each case except the case with -10 flap s angle. The angle with lower drag and a positive lift is -5 To lift a total weight of 100 kg ( boat + skipper) it is necessary work with a flap angle higher than 0 with a speed of 5 m/s FUTURE DEVELOPMENTS The flap s angle is determined by the speed of the ship trough the sensor called wand (reported in figure 1.1. ) The hull surging over the sea level causes a big drag fall which is not considered in this study. Improve the speed variation to study lift and drag in function of the hull s velocity.

  17. THANKS FOR THE ATTENTION

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