CUBIT University of Pisa The Group of Applied Fluid Dynamics€¦ · Compressor Diffuser rotating...
Transcript of CUBIT University of Pisa The Group of Applied Fluid Dynamics€¦ · Compressor Diffuser rotating...
CUBIT-UNIPI Applied Fluid Dynamics Group 1
CUBIT – University of Pisa
The Group of Applied Fluid Dynamics
March 2018
CUBIT-UNIPI Applied Fluid Dynamics Group
The Group of Applied Fluid Dynamics
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Prof. Giovanni Lombardi (Director)
• 3 Senior Engineering
• 6 Junior Engineering
At present the team is composed of:
Several Theses in Aerospace Engineering, Vehicles Engineering and Wind Turbine are supported by the group
CUBIT-UNIPI Applied Fluid Dynamics Group
Prof. Giovanni Lombardi (career)
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• 1982 Master Degree in Aeronautical Engineering• 1983 Researcher at the Dep. of Aerospace Engineering
• 1990 Professor of "Aircraft Aerodynamics”• 2005 Professor of ”Vehicle Aerodynamics”• 2005 Director of the Master in “Yacht Engineering”• 1999 to 2008 Professor of ”Experimental Aerodynamics” in the Module of “Fluid
Dynamics” of the Masters in “Yacht Engineering” and “Planning and Management of Renewable Energy Systems”
• Module of “Aerodynamics” at the Training Program Maserati-Alfa Romeo
• Since 1989 person in charge of the cooperation with CSIR (Council for Scientific and Industrial Research, South Africa).
• Since 2000 person in charge of the cooperation between the University of Pisa and FERRARI (Aerodynamics researches).
• Person in charge of the cooperation between the University of Pisa and “Clan Des Team Challenger” for the scientific support to the America’s Cup 2007.
• Technical Coordinator of the AC Team “Green Comm Racing”.
CUBIT-UNIPI Applied Fluid Dynamics Group
Prof. Giovanni Lombardi (scientifical)
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Author of more than 120 scientific publications and 90 technical reports.• 40 papers are published in Journals (26 as principal author). • 6 articles in books.• More than 80 papers presented at conferences.
In general, he has always used both the experimental and the numericaldevelopment in research, thus taking advantage of both methodologies toobtain results unachievable by one approach only.The attention has been posed on the physical aspects of research and theindustrial applications, using, from time to time, the techniques, numericaland/or experimental, that best suited to the analysis of the fundamentalissues involved in the particular investigation.
CUBIT-UNIPI Applied Fluid Dynamics Group
FUNDAMENTAL ACTIVITIES
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• WIND TUNNEL EXPERIMENTS
• CFD EVALUATIONS
Analysis of fluid dynamics problems by using the most appropriate techniques
• NUMERICAL AERODYNAMICS OPTIMISATION
• DATA ANALYSIS
CUBIT-UNIPI Applied Fluid Dynamics Group
Cooperation(Aerospace)
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•Alenia Aeronautica
•Aermacchi
•Augusta
•MBDA
•Oto Melara
• Selex-Galileo
• SNIA BPD
•CSIR (South Africa)
• IDS (unmanned airplanes)
CUBIT-UNIPI Applied Fluid Dynamics Group
Cooperation(Naval)
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•WASS
•Fincantieri
• Intermarine
•Econboard
•Vallicelli yacht design
•America’s Cup 1987 (Azzurra)
•America’s Cup 2007 (Team +39)
•America’s Cup 2013 (Green Comm Racing)
CUBIT-UNIPI Applied Fluid Dynamics Group
Cooperation(Green Energy-wind turbine)
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• General Electric (Nuovo Pignone)
• XEMC DARWIND (Netherland)
• ENEL Green Power
CUBIT-UNIPI Applied Fluid Dynamics Group
Cooperation (Road Vehicles)
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•Ferrari
•Minardi F1
•Dallara
•Maserati-Alfa Romeo
•Tatuus
•Continental
•Centro Ricerche Fiat
•Piaggio
•Cicli Pinarello
CUBIT-UNIPI Applied Fluid Dynamics Group
The Wind Tunnel (University of Pisa)
Closed circuit Open Test Section Subsonic
Test Section: diameter = 1.1m length = 1.5m
Velocity: up to 35m/s Turbulence level: 0.9%
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CUBIT-UNIPI Applied Fluid Dynamics Group
Experimental experiences
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• Several Campaigns in the subsonic wind tunnel of University of Pisa
• Organization of experimental campaign in Subsonic, Transonic and Supersonic wind tunnel in:
• FFA (Sweden)
• CSIR (South Africa)
• ONERA (France)
• Data analysis of the experimental data
• Data correction for the real conditions
• Data analysis of flight tests
• POLITECNICO of TORINO
• FERRARI
• MINARDI F1
• Calibrations of the test section (Dallara wind tunnels)
CUBIT-UNIPI Applied Fluid Dynamics Group
CFD – HARDWARE (at present)
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3 Dedicated parallel Cluster for the CFD evaluations
• 96 cores 192 Gb RAM
• Intel based 1024 cores cluster (~16 Tflops)
2 GB Ram/Core
Infiniband DDR fast network (20 Gb/sec)
• Intel based 1216 cores cluster (~24Tflops)
3 GB Ram/Core
Infiniband DDR fast network (40 Gb/sec)
• 2 Workstations with 96 and 256 Gb of RAM for the grids generation• Several PC
CUBIT-UNIPI Applied Fluid Dynamics Group
CFD – HARDWARE (in the month)
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2 Dedicated parallel Cluster for the CFD evaluations
• 96 cores 192 Gb RAM
• AMD based 9216 cores cluster (~100 Tflops)
2 GB Ram/Core
Infiniband DDR fast network (60 Gb/sec)
• 2 Workstations with 96 and 256 Gb of RAM for the grids generation• Several PC
Note: the hardware can be used as “external service”
CUBIT-UNIPI Applied Fluid Dynamics Group
Evolution of Computational Capabilities
40 mill. cells
≈ 1 min.
≈ 20 Bil.
1216 cores
9200 cores
About one order of magnitude every4 years !
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CUBIT-UNIPI Applied Fluid Dynamics Group
CFD - Software
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The following solver are utilized:
• ANSYS FLUENT• STAR CCM+ (SIEMENS)• OpenFoam
For the geometries management:
• CATIA• ANSA• Pro-Engineering• Rhino
Optimization procedures:
• ModeFrontier
CUBIT-UNIPI Applied Fluid Dynamics Group
CFD Experiences (Aerospace)
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• External flow on complete configurations
• Flow in the intakes
• Helicopter rotors flow analysis
• Wing optimisation
• Aeroelastic analysis
• Transonic Flow
• Mini UAV development
• Flow for carbon lamination cooling system
CUBIT-UNIPI Applied Fluid Dynamics Group
Compressor Diffuser rotating stall(General Electric)
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Non-steady CFD evaluationTime step 0.5 ms
Centrifugal Compressor Diffuser RotatingStall: Vanless Vs. Vaned.Proceedings of 12th European Conference on Turbomachinery Fluid dynamics & Thermodynamics ETC12, April 2017; Stockholm
CUBIT-UNIPI Applied Fluid Dynamics Group
Wind Turbines
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• Flow around the rotor of different size• Vertical axle• Horizontal axle
• Design optimization
CUBIT-UNIPI Applied Fluid Dynamics Group
ALENIA
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(m/s)
CUBIT-UNIPI Applied Fluid Dynamics Group
CFD Experiences (Naval)
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• Flow around the hull with free surface
• Flow on the sails
• 6 DOF motion with rough sea
• Torpedos
• Hull optimization
• Sail shape optimization
CUBIT-UNIPI Applied Fluid Dynamics Group
6 DOF High Speed Catamaran in rough sea
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➢ The sea wave dynamics is represented by the 5° order Stokes theory.
➢ The following characteristics are assigned:
➢ Wave height, H
➢ Wave Length, L
➢ Sea depth, d
➢ Direction and velociy of the sea tide, cE
H
dcE
CUBIT-UNIPI Applied Fluid Dynamics Group
6 DOF Motion set-up
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• Total mass
• C.G. position
• Inertial Moments
•The applied power is kept constant
ARE ASSIGNED
Time step: 0.005 s
Iterations per step 10
Starting Speed: 5 m/s
• The thrust is evaluated as a function of the speed
and it is applied in the direction of the propeller axle
• Propulsion efficiency = 0.92
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CUBIT-UNIPI Applied Fluid Dynamics Group
Max. Boat Speed, Flat sea (1900 HP)
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Regime (oscillating)
No
oscillations
≈ 22 sec≈ 7 sec
Oscill.
transient
CUBIT-UNIPI Applied Fluid Dynamics Group
Boat Motion, Flat sea (1900 HP)
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CUBIT-UNIPI Applied Fluid Dynamics Group
CFD Experiences (Automotive)
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• Flow around the entire car (external and internal)
• Flow in the radiator ducts
• Thermal Comfort
• Aero-acoustic analysis
• Brake cooling
• Thermal aspects in the vanes
• Flow in the injectors
• Optimization of the car shape
• Optimization of the geometrical details
CUBIT-UNIPI Applied Fluid Dynamics Group
Tatuus
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CUBIT-UNIPI Applied Fluid Dynamics Group
FLOW IN THE RADIATOR DUCTS
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CUBIT-UNIPI Applied Fluid Dynamics Group
Condotti radiatori – velocità di attraversamento
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CUBIT-UNIPI Applied Fluid Dynamics Group
Exhaust Gas
Analysis of the exhausts trajectory of a high-performance car during an acceleration and a following braking phase
The goal is to improve the comfort inside the cockpit, preventingdiseases linked to unexpected exhausts paths due to a particular
driving condition
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CUBIT-UNIPI Applied Fluid Dynamics Group
The Physics of the problem can be reproduced by means of different analyticalmodels, each presenting its peculiarities and its drawbacks.
Sliding/Dynamic Mesh
VOF Model
Mixture Model
Eulerian Model
Static Mesh
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CUBIT-UNIPI Applied Fluid Dynamics Group
Physics Model
Considerations of various nature should lead to a compromise choice betweentime and accuracy
The model must be able to catch the nature of the phenomenon that we are interested in, introducing as many simplifying hypotheses as possible
Eulerian Discrete Phase Model with Particle Tracking
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CUBIT-UNIPI Applied Fluid Dynamics Group
Volume Grid ~ 60 Million of Tetrahedral Cells
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CUBIT-UNIPI Applied Fluid Dynamics Group
CFD Analysis
• Initialisation: Steady-State Simulation
• Unsteady Simulation: Inlet Velocity Profile and Exhausts Mass Flow Rate expressed in function of time (Ferrari Experimental Data)
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CUBIT-UNIPI Applied Fluid Dynamics Group
CFD Analysis
• Inlet Velocity Profile and Exhausts Mass Flow Rate described by means of User-Defined Functions
• Total time = 20 seconds
• Δt = 0,01 s – 10 Inner Iterations for each Time Step• Particle Tracking – Injections coincident with the exhausts surfaces
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CUBIT-UNIPI Applied Fluid Dynamics Group
Post-Processing of Results
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CUBIT-UNIPI Applied Fluid Dynamics Group
Post-Processing of Results
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CUBIT-UNIPI Applied Fluid Dynamics Group
Post-Processing of Results
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CUBIT-UNIPI Applied Fluid Dynamics Group
Post-Processing of Results
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CUBIT-UNIPI Applied Fluid Dynamics Group
THERMAL CONFORT
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CUBIT-UNIPI Applied Fluid Dynamics Group
THE COMFORT IN THE COCKPIT
The thermal comfort is a result of the physiological behaviour, even ifthe thermo-aerodynamics aspects are preponderant for a quantitativeevaluation.
Essentially related to
thermo-aerodynamicsof the flow in the cockpit
Problem: TO CORRELATE THE THERMO-FLUID DYNAMICS VARIABLES TO
COMFORT/DISCOMFORT FEELINGS
AERODYNAMICS
CUBIT-UNIPI Applied Fluid Dynamics Group
The COMFORT “FLUX”
Environment Man Judgment
Stimuli
PhysiologyCOMFORT
INDEX
IT IS NECESSARY TO SPECIALIZE THESE ASPECTS TO THE ANALYSIS OF A CAR COCKPIT
➢ UNI e ASHRAE Rules
➢ Rules to estimate the localdiscomfort
➢ Indices for environment
➢ Thermal sensitivity
➢ Thermal balance
➢ Thermoregulation
Aerodynamics
CUBIT-UNIPI Applied Fluid Dynamics Group
OBJECTS
• TO DEFINE ONE (or MORE) COMFORT INDICES SUITABLE FOR
THE CAR COCKPIT CONDITIONS
• TO DEFINE THE PROCEDURES FOR THE EVALUATION OF THE
THERMO-AERODYNAMICS ASPECTS OF THE COMFORT
(The aspects of thermal comfort related to the physiological answers to the
environmental situation were analysed with the Department of Physiology of
the University of Pisa)
CUBIT-UNIPI Applied Fluid Dynamics Group
THE COMFORT INDEX: STRUCTURE
The index is assumed to derive from the following
fundamental factors:
➢ The global thermal equilibrium of the body (IE)
➢ The discomfort related to the gusts (IG)
➢ The vertical gradient of temperature (IVT)
➢ The horizontal gradient of temperature (ILT)
CUBIT-UNIPI Applied Fluid Dynamics Group
AERODYNAMIC
From the aerodynamic point of view it is necessary to evaluate the
flow characteristics in the cockpit, in terms of:
• Analysis of the car thermal comfort
• Air Velocity
• Air Temperature
• Radiation Temperature
COMFORT INDEX
• Effects of the relevant parameters
• Indications about modifications to increase the comfort
CUBIT-UNIPI Applied Fluid Dynamics Group
CFD SET-UP
the material properties are assigned as:• alloy for the car faces• glass for the window• plastic for the dashboard• leather for the seats
Activated on the windows
RADIATION DO Radiation Modelcoupled with DO Irradiation Solar Load Model for the solar load
CONDUCTION
CONVECTION
CUBIT-UNIPI Applied Fluid Dynamics Group 48
CUBIT-UNIPI Applied Fluid Dynamics Group
THERMAL COMFORT INDEX
at this stage of the activity, it is assumed K1= K2= K3= K4=1
THE CORRELATION BETWEEN EXPERIMENTAL AND NUMERICAL DATA APPEARS SATISFACTORY
with more significant differences in the local indices, probably related to the difficulty in the gradient evaluation, especially in the experiments
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NUMERICAL OPTIMISATION
CUBIT-UNIPI Applied Fluid Dynamics Group
Ex. : Fairing on a 2D cylinder – step 1
C
Object Function: Drag
Reference solution: NACA 0012
NACA 0012
t/c 0,12
c 0,830
Re 1,1 * 106
CD 0,0052
DRAG 1,085 N/m
t
Optim. Step 1: same section family
Numerical solver: X-Foil 1 Design Parameter: chord
NACA 00169
0,169
0,590
8,1 * 105
0,0070
1,04 N/m
Results:
• t/c 16.88 %
Alghoritm: Conjugate Gradient
• DRAG - 4%
Clearly, Drag is a function of c
Time on PC: about 1/2 hour
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CUBIT-UNIPI Applied Fluid Dynamics Group
Fairing on a 2D cylinder – step 2
C
Object Function: Dragt Optim. Step 2: wing sect. defined
by Bezier points
8 Design Parameter: chord + 7 Bezer points
Time on PC: about 6 hours
Results:
•t/c 17.1% + Bezier points
Alghoritm: Genetic
• DRAG - 25%
NACA 0012
t/c 0,12
c 0,830
Re 1,1 * 106
CD 0,0052
DRAG 1,085 N/m
NACA 00169
0,169
0,590
8,1 * 105
0,0070
1,04 N/m
ID 75593
0,171
0,594
8,1 * 105
0,0054
0,811 N/m
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CUBIT-UNIPI Applied Fluid Dynamics Group
Optimisation of a car rear diffuser
As the interest is focused on the rear diffuser, only a part of the geometry will be varied during the optimisation procedure
the CAD geometry is divided in two parts
• the “fixed” part (red) • the “detail” part (yellow)
Only the “detail” part is parametric, and its geometry will change during the optimisation process
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CUBIT-UNIPI Applied Fluid Dynamics Group
Impact on the GRID
FixedParametric
Also the grid volume is subdivided in two parts:
• the fixed part, representing the geometry of the car not
changing in the optimisation
• the parametric part (yellow), defining the rear diffuser, and
changing during the optimisation, following its parameters
variations
At any step of the optimisation, the grid volume is obtained by merging the fixed part with the parametric one
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CUBIT-UNIPI Applied Fluid Dynamics Group
Advantages
• Reduced time for the CAD phase
• Reduced time for the grid generation
• Smaller dimensions of the file to manage
• Better representation of the geometry with respects to a global parametric scheme
• REDUCED TIME
• REDUCED COMPUTATIONAL REQUIREMENTS
• BETTER RESULTS
• REDUCED COST
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CUBIT-UNIPI Applied Fluid Dynamics Group
The Optimisation Procedure
Genetic ALGORITHM Moga-II
The optimisation procedure was driven by ModeFrontier
The OBJECT FUNCTION was related to both the total drag and the vertical download of the car
CONSTRAINTS:• minimum volume of the gearbox • Maximum span of the lateral side of the diffuser• The vertical download cannot be reduced (CZ ≤ CZref)
• 42 initial base data (DOE, Design Of Experiments) were used, with 16 new populations
• 570 different geometries were evaluated
STRATEGY:
TOTAL TIME for the entire procedure:
2 month (with 400 cpu hours)
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CUBIT-UNIPI Applied Fluid Dynamics Group
Results
Two interesting configurations can be identified:
• “Low Drag”, characterised by a drag as lower as possible (without increase in vertical down-load)
• “High Load”, characterised by a high value of the vertical download, with a low increase in drag
Pareto
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CUBIT-UNIPI Applied Fluid Dynamics Group
Bicycle - Chassis Section
Lateral wind: LIFT, it is possible a DRAG reduction!
a = 0°
a = 10°
a = 20°
8 Geometrical parameters:
•Position of maximum thickness (1)
Airfoil forebody:
•1 Beziers point (2)
Airfoil afterbody:
•2 Beziers points (4)
•Base height (1)
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CUBIT-UNIPI Applied Fluid Dynamics Group
Objective Function and Results
0,28
0,28
0,27
0,12
0,05
• Computational time for each simulation about 30 minutes on 24 processors
• Total time about 170 hours
Obj = a0 Fax0 + a5 Fax5 + a10 Fax10 + a15 Fax15 + a20 Fax2
Obj Fax_0 Fax_5 Fax_10 Fax_15Fax_20
4199 0,080 0,343 0,261 -0,105 -0,322 -0,437
Base 0,448 0.241 0.389 0.582 0.634 0.770
Winner at Tour de France
Clearly, for the athlete ability!
Results
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CUBIT-UNIPI Applied Fluid Dynamics Group
A particular application of optimisation
COMPARISON BETWEEN “OPTIMIZED CONFIGURATIONS”
The comparison between different solutions is usually not“conclusive”, because they are not at the same level of“possible performance”
POSSIBLE APPROACH:
TO OPTIMISE EACH CONFIGURATION IN ORDER TO MAKE A
In this way, it is possible to make a comparison between thedifferent solutions, because
THEY ARE AT THE SAME LEVEL OF PERFORMANCE
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CUBIT-UNIPI Applied Fluid Dynamics Group
Ex.: Different Blowing Configurations
First blowing type (1)
Original
Second blowing type (2)
Internal view
(in green the blowing area)
Additional parameters: • Blowing area• Flow velocity from the area
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CUBIT-UNIPI Applied Fluid Dynamics Group
Scatter Charts
ReferenceScheme 1
Scheme 2
del
ta_C
z (p
oin
ts)
delta_Cx (points)
Blowing effect
Example of modification without optimisation:Divergent conclusions!
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NUMERICAL OPTIMISATION
MORPHING and ADJOINT
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Passenger Area Geometry
CUBIT-UNIPI Applied Fluid Dynamics Group
Aiming to obtain a target to evaluate
efficiency improvements, an ideal
duct is optimised.
THIS DUCT DOES NOT COPE WITH SPACE
CONSTRAINTS !
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CUBIT-UNIPI Applied Fluid Dynamics Group
MORPHING BOXES
Morphing boxes allow three-
dimensional geometry modifications
and have been already used in previous
works.
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13 morphing parameters are
chosen in the optimisation process.
ANSA Morphing Tools
CUBIT-UNIPI Applied Fluid Dynamics Group
Opt. Control
0,902
0,904
0,906
0,908
0,910
0,912
0,914
0,916
12 17 22
Uniform
ity
Δptot [Pa]
More efficient configurations
Initial design
• Object functions:
• Pressure drop
• Flow uniformity
• Space constraints were
known and shape
modifications limited
The analysis of 1000
configurations requires 1
week on 512 cores.
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RESULTS
CUBIT-UNIPI Applied Fluid Dynamics Group
Morphed
configurationOriginal
configuration
Ideal
configuration20,54
12,35
2,61
05
10152025
Δptot [Pa]
-40% loss
-87% loss
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RESULTS (Δptot)
CUBIT-UNIPI Applied Fluid Dynamics Group
A CFD simulation and an adjoint solution give a normal
optimal displacement map for the duct, with respects
to the total pressure drop reduction.
This map steers shape change on the entire duct
avoiding geometry parametrisation.
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Adjoint optimisation
CUBIT-UNIPI Applied Fluid Dynamics Group
Morphing
Adjoint
-75% loss
20,54
12,35
5,19
0
5
10
15
20
25
Originalconfig.
Morphedconfig.
Adjointconfig.
Δptot [Pa]
-40% loss
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Adjoint optimisation Results (Δptot)
CUBIT-UNIPI Applied Fluid Dynamics Group
• Optimisation results depend
on the choice of the control
parameter
• High computational time
Morphing
• It allows local modifications
and their magnitude can be
limited to cope with space
constraints
Disadvantages
• Effectiveness and lower
computational power
• Modified shape regularity
• Adjoint solver is sensible to
mesh quality and shows
convergence problems
• Shape modifications are global
and might not cope with
space constraints
Disadvantages
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AdvantagesAdvantages
Adjoint
CUBIT-UNIPI Applied Fluid Dynamics Group
• The Adjoint method appears very effective, but
there are problems in setting the costraints
• In case of strict space constraints it is more
appropriate to use box morphing optimisation
• Adjoint sensitivity map allows to establish the
problematic zones and to speed up the optimisation
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Coupled Approach
CUBIT-UNIPI Applied Fluid Dynamics Group
Adjoint sensitivity analysis
allows to set up an
optimisation process that
converges in 100 simulations
instead of 1000.
(less than 1 day vs 1 week).
More efficient
configurations
Initial
design
0,902
0,904
0,906
0,908
0,910
0,912
0,914
0,916
0,918
0,920
0,922
9 10111213141515161718192021U
niform
ity
Δptot [Pa]
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Adjoint Driven optimisation
CUBIT-UNIPI Applied Fluid Dynamics Group
Coupled approach
configuration
20,54
12,359,31
2,61
05
10152025
Δptot [Pa]
-40% loss -52% loss
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Results (Δptot)
Morphed configuration
CUBIT-UNIPI Applied Fluid Dynamics Group
Original
configuration
Morphed
configuration
Coupled approach
configuration
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Results (Uniformity)
CUBIT-UNIPI Applied Fluid Dynamics Group
WIPER ANALYSIS
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Obiettivi :
Elaborazione di una procedura di calcolo che:
• Riproduca la dinamica della pioggia sulla vettura;
• Verifichi l’adeguato smaltimento dell’acqua piovana senza
il danneggiamento degli impianti interni.
• Tergicristalli in movimento;
• Deformazione dei tergicristalli durante il moto;
• Presenza di fluido multifase nel dominio.
Problematiche :
CUBIT-UNIPI Applied Fluid Dynamics Group
Impostazione del moto dei tergicristalli
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• Overset mesh Definizione dei Motion Controllers:• Morphing
• Rotation
Definizione del vincolo di ‘‘Slide-on-surface’’
CUBIT-UNIPI Applied Fluid Dynamics Group
Solutore
Modelli per il Flusso:
• Implicit unsteady
• Realizable k-ε
Modelli per fluido multifase:
• Eulerian Multiphase
• Volume of Fluid
• Lagrangian Multiphase
• Fluid Film
CUBIT-UNIPI Applied Fluid Dynamics Group 79
Condizioni al bordo
Condizioni al bordo sul dominio:
• Velocità del flusso 20 m/s;
• Aspirazione dell’aria al setto poroso è di 0,150 kg/s.
Condizioni per la pioggia:
• Dimensione particelle 0,5 mm di diametro;
• Mass flow rate 0,2 kg/s.
CUBIT-UNIPI Applied Fluid Dynamics Group 80
Tempi di calcolo
Time-Step: 0,005 s Tempo fisico: 20 s
È stata scelta la griglia n°2 per avere tempi di calcoloragionevoli.
N° CelleN°
ProcessoriTime-step
Time-
step/Tempo
Tempo
totale
Griglia 1 90 mln 512 0.001 s 1 / 30 min.500 giorni
(stima)
Griglia 2 12,5 mln 256 0.005 s 1 / 3 min. 10 giorni
CUBIT-UNIPI Applied Fluid Dynamics Group
RISULTATI - Evoluzione film d’acqua
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Analisi dei Risultati
Mass flow rate attraverso il setto poroso
Massa: 0,054 g in 20 s9,73 g in 1 h
CUBIT-UNIPI Applied Fluid Dynamics Group 84
Conclusioni
• La procedura consente di
• Riprodurre adeguatamente la dinamica del fluido al di sopra dellavettura;
• Prevedere la dinamica dell’acqua in prossimità degli impiantivitali.
• Permette di conseguire risultati affidabili
Possibilità di utilizzare la procedura come unostrumento di progettazione intervenendo sullageometria della vettura, dove necessario, prima diavere il modello reale.
CUBIT-UNIPI Applied Fluid Dynamics Group
Thank you for your attention
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For more detailed information:Prof. Giovanni LombardiTel. +39 050 2217293 e-mail: [email protected]