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International Journal of Mechanical Engineering and Technology (IJMET)
Volume 7, Issue 2, March-April 2016, pp. 91–104, Article ID: IJMET_07_02_013
Available online at
http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=7&IType=2
Journal Impact Factor (2016): 9.2286 (Calculated by GISI) www.jifactor.com
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication
AUTOMOTIVE COMPUTATIONAL FLUID
DYNAMICS SIMULATION OF A CAR USING
ANSYS
Praveen Padagannavar and Manohara Bheemanna
School of Aerospace, Mechanical & Manufacturing Engineering
Royal Melbourne Institute of Technology (RMIT University)
Melbourne, VIC 3001, Australia
ABSTRACT
In this paper, ANSYS CFX method is used to simulate a single car model
with and without a spoiler and by using two types of mesh. The solution of the
Reynolds average Navier Stokes equations (RANS equations) has been
achieved by using two models such as K-Epsilon and K –Omega Turbulence
model will be analysed. In this report, mesh quality, boundary layer and
turbulent y+ value simulation has been thoroughly analysed and solution for
both the models has also been compared and discussed the results. We use the
ANSYS software to determine the drag and lift forces at different turbulence
kinetic energy variables k-Epsilon and K-Omega for the given vehicle domain.
Further, the effects of aerodynamic are verified with and without the spoiler.
Cite this Article: Praveen Padagannavar and Manohara Bheemanna,
Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys
International Journal of Mechanical Engineering and Technology, 7(2), 2016,
pp. 91–104.
http://www.iaeme.com/currentissue.asp?JType=IJMET&VType=7&IType=2
1. INTRODUCTION
Computational Fluid Dynamics (CFD) is a combination of computer Science,
Numerical Mathematics and modern Fluid Dynamics. CFD uses numerical methods
to analyse and solve the fluid flows problems. CFD is a method to research and
examine wide range of problems in heat transfer and fluid flow. Automotive
aerodynamics is one of the important applications of CFD. The development of a car
involves a wide range of key components, material selection for lightweight body and
consideration of aerodynamics for these components is important aspects to design.
In automotive industry CFD used to minimize the drag force and increase the down
force (negative lift) which helps to stabilize the vehicle, which will leads to decrease
in fuel consumption and shape design. In racing car industry such as Formula 1 a
common interest is the necessary to keep a car on the ground and this could be
Praveen Padagannavar and Manohara Bheemanna
http://www.iaeme.com/IJMET/index.asp 92 editor@iaeme.com
obtained by attaching a spoiler at the rear of the car body. Most of the aerodynamic
evaluation of air flow has been carried out computationally by computational fluid
dynamics software by ANSYS.
Aim of stimulation models
 To create a quality Computational Fluid Dynamics simulation of a single car model
and extract meaningful data.
 To create quality Computational Fluid Dynamics simulation of a single car with a
spoiler and to study the aerodynamic effects of the spoiler on the car.
 To create quality CFD simulations of two cars closely follow each other to study drag
phenomenon.
2. METHODOLOGY
1. The physical boundaries are defined for the given problem.
2. The volume occupied with the fluid is divided by discrete cells and meshing can be
uniform or non-uniform.
3. Boundary condition is defined and involves specific fluid behaviour and properties at
boundaries of the problem.
4. The simulation is started and the equations are solved at steady state.
5. Finally a postprocessor is used for analysis and visualization of the results.
2.1. Car Model without Spoiler
A single car model has been created by using the given construction points and
designed the model in a specified computational domain by using ANSYS software.
Construction points used to construct the car model are as shown below.
X(m) Y(m)
0 0.075
0 0.113
0.025 0.063
0.025 0.119
0.025 0.176
0.189 0.057
0.189 0.214
0.302 0.050
0.302 0.220
0.440 0.050
0.440 0.289
0.566 0.050
0.566 0.302
0.755 0.057
0.755 0.277
0.818 0.214
0.956 0.069
0.975 0.082
0.975 0.126
0.975 0.182
1 0.082
1 0.113
Table 1 construction points for the car model without spoiler
Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys
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2.2. Car Model with Spoiler
Construction points used to construct spoiler:
X (m) Y (m)
0.8800 0.2663
0.8868 0.2595
0.8868 0.2718
0.8978 0.2567
0.8978 0.2711
0.9252 0.2595
0.9252 0.2690
0.9526 0.2670
0.9526 0.2718
0.9800 0.2800
Table 2 construction points for the car spoiler
The car model geometry is normalised by its length from nose to tail of the car
model. The characteristics length of the car model is 1 and with the free stream
velocity 100 Km/hr (27.78m/s), Reynolds Number is 1.84 x106
and turbulence
intensity assumed is 5%.
2.3. Creating computational domain
The computational domain means airflow in following sections which is created by
using given boundary points.
X Y
-8 0
-8 3
18 0
18 3
Table 3 Construction points for computational domain
3. PROCEDURE TO CREATE CAR MODEL
Step 1: Create 3D Geometry in Computational Domain
On generate the car geometry form the given construction point and then suppressed
onto the 3D air domain in design model. The assumption is that the car is moving
forward with a constant velocity ‘U’ through the air. But this is interpreted in
simulation, if the air is moving towards the car with the same velocity but the opposite
direction the car is stationary. The entire computational domain is done in the air
domain. Therefore, the car is suppressed in the fluid domain and suitable boundary
condition is assigned. The surface of the car body: inlet, sky, side plane, symmetry
plane, ground, outlet, car body and spoiler.
Praveen Padagannavar and Manohara Bheemanna
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Figure 1 3D geometry
Step 2: Meshing the Model
Meshing is one of the important steps for simulation in ANSYS. A suitable mesh will
give meaningful and accurate solution whereas wrong meshing will give inaccurate or
wrong answers. In order to know the turbulence properly the mesh should be grid
independently and also it should be fine as much as possible especially at the
boundary layer. On the other hand, greater number of mesh element in the car model
which leads to finer meshing and this will increase the computational cost. Therefore,
selecting mesh element size and applying suitable inflation on boundary layer will
optimize in the computational cost and accurate results. Turbulence can be properly
obtained when the mesh is done independent and fine including boundary layers. The
flow domains are split into smaller subdomain. The subdomains are often called
elements or cells and collections of these cells called as mesh.
Mesh Sizing: To account all the changes of the flow at the car model, the mesh size
of all the surface of the car body has been taken 2.5cm or mesh to element with size
0.025m. On the other hand, the air domain is not that important except the near region
of the car body, so it is kept default setting for meshing. The element of sizing is kept
soft for smooth transition between the coarse to fine elements of the car model. The
inflation is created on the body domain and on the surface of car body and spoiler.
The inflation option to first layer thickness is 0.0013m and maximum layer is 16. The
face sizing is created by changing the scoping method to name selection for the car
and spoiler model.
Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys
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Figure 2 Mesh of the car model.
Step 3: Boundary layer mesh
In the ANSYS CFX, the method provided for turbulence models involving the
boundary layer simulation. To know all the effect in the boundary layer of the car
body, it is important to use inflation layer into the boundary layer with finer mesh. In
the turbulence model, the first layer thickness setting is useful to save time in meshing
because the value used by constant inflation layer.
The quality of the mesh is determined by the shape of the individual cells. The key
factor that affects the quality of the cell is skewness, aspect ratio, angle between the
adjacent element of the cells and determinants. Skewness is primary quality measure
for a mesh. It determines how close to idea a face or cell is. In single car model the
skewness average of k-epsilon model is 0.26648 and k-omega is 0.26611. The mesh
element models have the shape to meet the requirements.
Step 4: Mesh element requirements
 Triangular 45< θ< 135
 Rectangular 1< Ratio of adjacent side < 5
 The shape of the mesh element is qualified for the requirements shown in the above
figures.
Praveen Padagannavar and Manohara Bheemanna
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Step 5: Boundary Condition and Setting
NAME
BOUNDARY
TYPE
LOCATION BOUNDARY DETAILS
Inlet Inlet Inlet
Normal speed 27.78 m/s, Flow Regime: Subsonic.
Turbulence: Medium (Intensity = 5%)
Outlet Outlet Outlet Average static pressure= 0pa
Symmetry Symmetry Symmetric plane
Car body Wall Car body
Mass and Momentum: No slip wall.
Wall Roughness: Smooth Wall
Ground Wall Ground Wall U=27.78m/s, wall V =wall W=0
Far field Opening
Sky and back
plane
Flow Regime: subsonic, Turbulence: Zero Gradient
Mass and Momentum: Entrainment, 0.
Table 4 Boundary condition
According to the data from the table and figure, in reality the car is travelling at a
constant speed U forward and the air is assumed to be still. In this case, it is
equivalent to placing a stationary car in the air with a free stream speed U moving
against the car towards the positive x direction. The ground also moves together with
air in same speed and direction as the air.
Figure 3 Boundary condition
Boundary condition
 The car is simulation to the drive at 100 km/h.
 The car is assumed to be fixed or set as wall to the model.
 The outlet boundary condition is set to pressure outlet with the gauge pressure of 0pa.
 The car contour, the top and the bottom of the wind tunnel are set as walls.
 The ground moves in the opposite direction at the same speed. Ground is set as wall,
U velocity same as air is 27.78 ms^-1, V and W velocity are 0.
 The density of air is set as 1.185 kg/m^3.
 The dynamic velocity of air is 1.831 x 10^-5 kg/ms.
 Relative pressure of sky and side plane is 0; average static pressure of outlet is 0.
 Car body is set as wall.
 Drag coefficient: force_x()@carbody*2/1.185[kg m^-3]/27.78[m s^-
1]^2/0.252[m]/0.17[m].
Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys
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Boundary Flows for CFX:
LOCATION TYPE
MASS
FLOW
MOMENTUM
X Y Z
Car body Boundary 0.0000e+00 -7.0039e+00 4.3995e+00 1.8647e+01
Far field Boundary -2.3439e+00 -6.5293e+00 -4.2522e-03 3.9834e-03
Ground Boundary 0.0000e+00 3.9507e-02 -4.6187e+00 -3.8233e-03
Inlet Boundary 2.9627e+02 8.2306e+03 -3.0941e-08 3.1031e-02
Outlet Boundary -2.9604e+02 -8.2175e+03 2.3078e-01 -8.2808e-02
Symmetry Boundary 0.0000e+00 0.0000e+00 0.0000e+00 -1.8604e+01
Table 5 Boundary flows
4. RESULTS ANALYSIS AND DISCUSSIONS FOR CAR MODEL
WITHOUT SPOILER
4.1 Pressure Contour, Velocity Vector, Streamline, Turbulence Kinetic
Energy for Car without Spoiler
Note: K-Epsilon and K-Omega are two approaches to simulate the model and have
two different simulating results.
4.1.1 Pressure Contour for K- Epsilon Model and K-Omega Model
Figure 4 pressure contour for K-Epsilon model and K- Omega model
Praveen Padagannavar and Manohara Bheemanna
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According to the above figure, for both models the high pressure at the front of the
vehicle is due to the flat and projected front portion. This can be reduced by making
the design more streamlined. The pressure level varies behind the rear windshield and
it is lower in the K-Epsilon model and the K-Omega model has lower pressure behind
the car. The pressure for the K-Epsilon model range varies from 549pa to -852pa and
K-Omega model pressure range varies from 548 pa to -879 pa, hence the K- Omega
model does not account for wall boundary conditions. Different calculation methods
are used for two different models so the results for both the models are alike.
4.1.2 Velocity Vector for K- Epsilon Model and K-Omega Model
Figure 5 Velocity vector for K-Epsilon model and K-Omega model
The above figure shows velocity vector of K-Epsilon and K-Omega. The K-
Omega model does not involve complex non-linear damping functions required for
the K-Epsilon model and is more accurate. According to the velocity plots when
compared with K- Epsilon and K-Omega models, the negative area in K-Epsilon is
larger than that in K-Omega model. The results using K-Epsilon modal is more
accurate than using K- omega model.
4.1.3 Streamline Plots for K- Epsilon Model and K-Omega Model
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Figure 6 Streamline plots for K-Epsilon model and K- Omega Model
The above figure shows a vortex can be observed at the rear of the vehicle due to
back pressure for the k-Epsilon model. The streamline flow over the rear of car body
for k-Omega is more smooth and convergent. This proves k-Omega is most preferred
for near wall problems. The high velocity at the top of the vehicle is due to the sudden
change in profile. From the streamline plots it can be seen that, the turbulence behind
the rear windshield in the K-Epsilon is larger than K-Omega. For the area behind the
car, the turbulence in K-Epsilon is smaller.
4.1.4 Turbulence Kinetic Energy for K-Epsilon Model and K-Omega model
Figure 7 Turbulence kinetic Energy for K-Epsilon model and K-Omega model
The vehicle turbulence air is considered as a fluid medium through which our
current model moves at constant speed U. There are many types of turbulence
produced on roadways.
The K-Epsilon model has become one of the most widely used turbulence models
as it provides economy and accuracy for a wide range of turbulent flows. It is used for
fully turbulent flow (high Reynolds number). It cannot handle low Re. and also flow
separations. K-Omega is majorly used for near wall problems and damping functions
are not required. The turbulence frequency is used as a variable for detecting length
scales. According to the above figure, the turbulence kinetic energy behind the rear
Praveen Padagannavar and Manohara Bheemanna
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windshield area in k-Epsilon model is around about 20 Kg m2
/s2
and 6 Kg m2
/s2
in the
area behind the car.
The above figure illustrates high level of turbulence at the rear end of the vehicle
because of taper and small turbulence occurs over a larger distance in k-omega model.
The kinetic energy behind the rear windshield does not change significantly because
of the turbulence in K-Omega model. Nevertheless, the turbulence area behind the car
is larger than in present K-Epsilon model. The K-Epsilon model, the turbulence
kinetic energy behind the area of car is higher than K-Omega model.
4.2 Calculate the Lift and Drag Coefficient of Car Model without Spoiler
4.2.1 Drag
Drag is the force that acts opposite to the path of the vehicle’s motion. Drag is
detrimental to vehicle performance because it limits the top speed of a vehicle and
increases the fuel consumption. Reducing drag in road vehicle has led to increasing
the speed of vehicle, fuel efficiency handling, and acceleration
Drag coefficient (CD) = FD / ( ½ * ρ * V2 * AF) (1)
Where, FD is the drag force
ρ is the air density,
V is the free stream velocity
AF is the frontal area of the vehicle.
4.2.2 Lift
Lift can be manipulated to enhance the performance of a race car and decrease lap
times. Lift is the force that acts on a vehicle normal to the road surface that the vehicle
rides on.
Lift coefficient (CL) = FL / ( ½ * ρ * V2 * AT) (2)
Where FL is the lift force
ρ is the air density
V is the free stream velocity
AT is the area of the top surface of the vehicle
The forces and coefficient of the two models are as following below:
K-EPSILON K-OMEGA
DRAG FORCE 7.25692 N 8.05381 N
DRAG COEFFICIENT 0.375363 0.420639
LIFT FORCE -3.96126 N -4.87552 N
LIFT COEFFICIENT -0.2245 -0.24306
Table 6 Force and coefficient
The table shows, Drag coefficient and lift coefficient for the two turbulence car
models. The two turbulence models have two different results. The drag force and
coefficient in K-Omega are larger than in K-Epsilon model and the lift force and
coefficient in K-Omega are both smaller than compared to K-Epsilon model.
According to the results, it is understood that the car can hold the ground better in K-
Omega model than in K-Epsilon model.
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4.2.3 Calculate Co-efficient drag (Cd) and Co-efficient lift (C )
Car Body C C
Generic
Automotive
0.32 0.43
Model
-0.046 0.36
K-
Epsilon
-0.049 0.41 K-Omega
Table 7: Cd and Cl
The coefficients in the model are lower than the generic car because of different
shape of car body. The model is developed on spline, so angle is blunter, area
smoother and drag is lower than generic. The bottom of the model is smoother and
speed flow is slower than generic car. A symmetric model cannot cause to happen lift
force and round body has lowest drag coefficient. The lift force of the model car is
negative and the force is acting down towards the ground and this is useful for
stability of the vehicle and driving.
5. RESULTS ANALYSIS AND DISCUSSIONS FOR CAR MODEL
WITH SPOILER
5.1 Y Plus Value, Pressure Contour, Velocity Vector, Streamline,
Turbulence Kinetic Energy with Spoiler for K-Epsilon Model
NOTE: Spoiler reduces the drag force and the lift force on the road.
5.1.1 Y Plus Plot with Spoiler for K-Epsilon Model
Figure 8 y plus plot with spoiler for K-Epsilon
According to the results, the Y plus values should not exceed 300 and by analysis
the results we got: K-epsilon model car body is 143, K-omega model car body is 135
and K-epsilon model car body with spoiler is 142. So it meets all the following
conditions. It is important to have the y+ values less than the allowed limit because it
determines the quality of the mesh for the flow pattern and to have appropriate
Reynolds number for the turbulent flow.
Praveen Padagannavar and Manohara Bheemanna
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5.1.2 Pressure Contour Plots with Spoiler for K-Epsilon Model
Figure 9 pressure contour plot with spoiler for K-Epsilon model
The above figure shows the pressure in the model of a car-spoiler. The pressure is
focused on the front part of the vehicle and the rear part of the car body does not
undergo extreme pressure. Furthermore, the area on the top of the spoiler is pushed
downwards with approximately 200pa. When the high pressure air approaches in front
of the windshield, the air travels over the windshield and accelerates and then
decrease in pressure. This lower pressure produces a lift force on the car roof as the
air passes over it. The pressure behind the car-spoiler is reduced. There is a large
amount of pressure over the spoiler surface and this pressure is generating down force
and results in better stability of the vehicle.
5.1.3 Velocity Vector with Spoiler for K-Epsilon Model
Figure 10 velocity vector with spoiler for K-Epsilon model
From the above figure, the velocity on top of the car especially at the spoiler end
is more than the velocity under the car. This increases the downward force which
helps the car to stay on the road.
5.1.4 Streamline Plot with Spoiler for K-Epsilon Model
Figure 11 streamline plot with spoiler for K-Epsilon model
Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys
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From the above figure, the spoiler splits the air flow at the rear and it consequently
reduces the velocity on top of the car and reduces the formation of a vortex at the rear.
But there is a high pressure zone created above the spoiler.
5.1.5 Turbulence Kinetic Energy with Spoiler for K-Epsilon Model
Figure 12 Turbulence kinetic energy with spoiler for K-Epsilon model
In the above figure, the turbulence area in the car spoiler is smaller compare to K-
Epsilon model. The turbulence kinetic energy of K-Epsilon car model is
approximately 23 Kg m2
/s2
compared with K-Epsilon model which is smaller.
5.2 Lift and Drag Coefficient for the Car Spoiler Model
K-EPSILON K-OMEGA K-EPSILON
CAR CAR CAR SPOILER
DRAG FORCE 7.15692 N 8.04382 N
8.70156 N 0.111492 N
8.813052 N
DRAG
COEFFICIENT
0.365362 0.410639 0.444216
LIFT FORCE -3.86116 N -4.76551 N
-5.50031 N -7.37853 N
-12.87884 N
LIFT
COEFFICIENT
-0.0496725 -0.0613066 -0.66078
DRAG COEFFICIENT DRAG FORCE LIFT COEFFICIENT LIFT FORCE
0.44 8.81 N -0.660 -12.87 N
CAR BODY Cl Cd
K-EPSILON -0.049 0.36
CAR SPOILER -7.37 N 0.44
Table 8 Lift and Drag Coefficient for the Car Spoiler Model
The Compared with the K-Epsilon car model Cl and Cd are both smaller than the
car spoiler model. The drag force differs because of spoiler. The turbulence and flow
created by spoiler that increases the drag force of the vehicle. The reason is that the
spoiler suffers from turbulence and flow. The drag force of the car model with a
spoiler is higher than the without spoiler. When it comes to lift coefficient and force
have lots of changes. In the front and rear of the spoiler there is positive pressure and
there would be additional drag force when compared with car model. The top aspect
Praveen Padagannavar and Manohara Bheemanna
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of spoiler is positive pressure and bottom receives negative pressure. The increase in
the lift force is the main reason that the down force in car spoiler is large than in car
model without spoiler.
6. CONCLUSION
The Reynolds average Navier Stokes equations or single car body model can be
solved in two ways by using K-Epsilon and K-Omega turbulence models. The single
car with spoiler has been solved using K-Epsilon model. For the different types of
mesh K-Epsilon and K-Omega the simulation results are different. The results of K-
Omega models provides more smooth of the fluid medium over the car body surface
reducing the swirls at the rear window region. The coefficient of drag and lift along
with drag and lift forces has been calculated by using the equation. Cl and Cd in K-
omega model are both larger than in K-Epsilon model. K-Omega model have better
down force than K-Epsilon model but has larger drag force. The car spoiler is a better
way to increase the down force. The results will be different in case of adding a
spoiler. In velocity vector plots with spoiler, an excess force acts on rear end resulting
in an increase in downwards force which ultimately increases the frag on the car.
The state of different car model in fluid domain can be simulated and different
model have different actions in fluid domain and also different method of analysis.
The computational fluid dynamics provides visual images and numerical data to
simulate the car body in the fluid flow. The computational fluid dynamics provides
simulations for design which can be used in practical. The results also help to reduce
the fuel consumption and increase the stability of the vehicle. CFD contributes vehicle
design, visible results and shows approximate results and helps simulations for
designers to design the vehicle and improve accordingly.
REFERENCES
[1] Anderson, ‘Race Car Aerodynamics Part 2: Lift and Drag’, 2014.
[2] http://jeffrin.hubpages.com/hub/Mesh-Generation-in-CFD-An-Overview.
[3] J.Ducoste, ‘An Overview of Computational Fluid Dynamics’, 2008
[4] Katz, J. 1995, ‘Race car aerodynamics: Designing for speed’, 1st edn, Robert
Bentley.
[5] M.Cable, ‘An Evaluation of Turbulence Models for the Numerical Study of
Forced and Natural Convective Flow in Atria’, 2009.
[6] Rakesh Jaiswal, Anupam Raj Jha, Anush Karki, Debayan Das, Pawan Jaiswal,
Saurav Rajgadia, Ankit Basnet and Rabindra Nath Barman, Structural and
Thermal Analysis of Disc Brake Using Solidworks and Ansys. International
Journal of Mechanical Engineering and Technology, 7(1), 2016, pp. 67–77.
[7] Janvijay Pateriya, Raj Kumar Yadav, Vikas Mukhraiya and Pankaj Singh, Brake
Disc Analysis with the Help of Ansys Software. International Journal of
Mechanical Engineering and Technology, 6(11), 2015, pp. 114–122.

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AUTOMOTIVE COMPUTATIONAL FLUID DYNAMICS SIMULATION OF A CAR USING ANSYS

  • 1. http://www.iaeme.com/IJMET/index.asp 91 editor@iaeme.com International Journal of Mechanical Engineering and Technology (IJMET) Volume 7, Issue 2, March-April 2016, pp. 91–104, Article ID: IJMET_07_02_013 Available online at http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=7&IType=2 Journal Impact Factor (2016): 9.2286 (Calculated by GISI) www.jifactor.com ISSN Print: 0976-6340 and ISSN Online: 0976-6359 © IAEME Publication AUTOMOTIVE COMPUTATIONAL FLUID DYNAMICS SIMULATION OF A CAR USING ANSYS Praveen Padagannavar and Manohara Bheemanna School of Aerospace, Mechanical & Manufacturing Engineering Royal Melbourne Institute of Technology (RMIT University) Melbourne, VIC 3001, Australia ABSTRACT In this paper, ANSYS CFX method is used to simulate a single car model with and without a spoiler and by using two types of mesh. The solution of the Reynolds average Navier Stokes equations (RANS equations) has been achieved by using two models such as K-Epsilon and K –Omega Turbulence model will be analysed. In this report, mesh quality, boundary layer and turbulent y+ value simulation has been thoroughly analysed and solution for both the models has also been compared and discussed the results. We use the ANSYS software to determine the drag and lift forces at different turbulence kinetic energy variables k-Epsilon and K-Omega for the given vehicle domain. Further, the effects of aerodynamic are verified with and without the spoiler. Cite this Article: Praveen Padagannavar and Manohara Bheemanna, Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys International Journal of Mechanical Engineering and Technology, 7(2), 2016, pp. 91–104. http://www.iaeme.com/currentissue.asp?JType=IJMET&VType=7&IType=2 1. INTRODUCTION Computational Fluid Dynamics (CFD) is a combination of computer Science, Numerical Mathematics and modern Fluid Dynamics. CFD uses numerical methods to analyse and solve the fluid flows problems. CFD is a method to research and examine wide range of problems in heat transfer and fluid flow. Automotive aerodynamics is one of the important applications of CFD. The development of a car involves a wide range of key components, material selection for lightweight body and consideration of aerodynamics for these components is important aspects to design. In automotive industry CFD used to minimize the drag force and increase the down force (negative lift) which helps to stabilize the vehicle, which will leads to decrease in fuel consumption and shape design. In racing car industry such as Formula 1 a common interest is the necessary to keep a car on the ground and this could be
  • 2. Praveen Padagannavar and Manohara Bheemanna http://www.iaeme.com/IJMET/index.asp 92 editor@iaeme.com obtained by attaching a spoiler at the rear of the car body. Most of the aerodynamic evaluation of air flow has been carried out computationally by computational fluid dynamics software by ANSYS. Aim of stimulation models  To create a quality Computational Fluid Dynamics simulation of a single car model and extract meaningful data.  To create quality Computational Fluid Dynamics simulation of a single car with a spoiler and to study the aerodynamic effects of the spoiler on the car.  To create quality CFD simulations of two cars closely follow each other to study drag phenomenon. 2. METHODOLOGY 1. The physical boundaries are defined for the given problem. 2. The volume occupied with the fluid is divided by discrete cells and meshing can be uniform or non-uniform. 3. Boundary condition is defined and involves specific fluid behaviour and properties at boundaries of the problem. 4. The simulation is started and the equations are solved at steady state. 5. Finally a postprocessor is used for analysis and visualization of the results. 2.1. Car Model without Spoiler A single car model has been created by using the given construction points and designed the model in a specified computational domain by using ANSYS software. Construction points used to construct the car model are as shown below. X(m) Y(m) 0 0.075 0 0.113 0.025 0.063 0.025 0.119 0.025 0.176 0.189 0.057 0.189 0.214 0.302 0.050 0.302 0.220 0.440 0.050 0.440 0.289 0.566 0.050 0.566 0.302 0.755 0.057 0.755 0.277 0.818 0.214 0.956 0.069 0.975 0.082 0.975 0.126 0.975 0.182 1 0.082 1 0.113 Table 1 construction points for the car model without spoiler
  • 3. Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys http://www.iaeme.com/IJMET/index.asp 93 editor@iaeme.com 2.2. Car Model with Spoiler Construction points used to construct spoiler: X (m) Y (m) 0.8800 0.2663 0.8868 0.2595 0.8868 0.2718 0.8978 0.2567 0.8978 0.2711 0.9252 0.2595 0.9252 0.2690 0.9526 0.2670 0.9526 0.2718 0.9800 0.2800 Table 2 construction points for the car spoiler The car model geometry is normalised by its length from nose to tail of the car model. The characteristics length of the car model is 1 and with the free stream velocity 100 Km/hr (27.78m/s), Reynolds Number is 1.84 x106 and turbulence intensity assumed is 5%. 2.3. Creating computational domain The computational domain means airflow in following sections which is created by using given boundary points. X Y -8 0 -8 3 18 0 18 3 Table 3 Construction points for computational domain 3. PROCEDURE TO CREATE CAR MODEL Step 1: Create 3D Geometry in Computational Domain On generate the car geometry form the given construction point and then suppressed onto the 3D air domain in design model. The assumption is that the car is moving forward with a constant velocity ‘U’ through the air. But this is interpreted in simulation, if the air is moving towards the car with the same velocity but the opposite direction the car is stationary. The entire computational domain is done in the air domain. Therefore, the car is suppressed in the fluid domain and suitable boundary condition is assigned. The surface of the car body: inlet, sky, side plane, symmetry plane, ground, outlet, car body and spoiler.
  • 4. Praveen Padagannavar and Manohara Bheemanna http://www.iaeme.com/IJMET/index.asp 94 editor@iaeme.com Figure 1 3D geometry Step 2: Meshing the Model Meshing is one of the important steps for simulation in ANSYS. A suitable mesh will give meaningful and accurate solution whereas wrong meshing will give inaccurate or wrong answers. In order to know the turbulence properly the mesh should be grid independently and also it should be fine as much as possible especially at the boundary layer. On the other hand, greater number of mesh element in the car model which leads to finer meshing and this will increase the computational cost. Therefore, selecting mesh element size and applying suitable inflation on boundary layer will optimize in the computational cost and accurate results. Turbulence can be properly obtained when the mesh is done independent and fine including boundary layers. The flow domains are split into smaller subdomain. The subdomains are often called elements or cells and collections of these cells called as mesh. Mesh Sizing: To account all the changes of the flow at the car model, the mesh size of all the surface of the car body has been taken 2.5cm or mesh to element with size 0.025m. On the other hand, the air domain is not that important except the near region of the car body, so it is kept default setting for meshing. The element of sizing is kept soft for smooth transition between the coarse to fine elements of the car model. The inflation is created on the body domain and on the surface of car body and spoiler. The inflation option to first layer thickness is 0.0013m and maximum layer is 16. The face sizing is created by changing the scoping method to name selection for the car and spoiler model.
  • 5. Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys http://www.iaeme.com/IJMET/index.asp 95 editor@iaeme.com Figure 2 Mesh of the car model. Step 3: Boundary layer mesh In the ANSYS CFX, the method provided for turbulence models involving the boundary layer simulation. To know all the effect in the boundary layer of the car body, it is important to use inflation layer into the boundary layer with finer mesh. In the turbulence model, the first layer thickness setting is useful to save time in meshing because the value used by constant inflation layer. The quality of the mesh is determined by the shape of the individual cells. The key factor that affects the quality of the cell is skewness, aspect ratio, angle between the adjacent element of the cells and determinants. Skewness is primary quality measure for a mesh. It determines how close to idea a face or cell is. In single car model the skewness average of k-epsilon model is 0.26648 and k-omega is 0.26611. The mesh element models have the shape to meet the requirements. Step 4: Mesh element requirements  Triangular 45< θ< 135  Rectangular 1< Ratio of adjacent side < 5  The shape of the mesh element is qualified for the requirements shown in the above figures.
  • 6. Praveen Padagannavar and Manohara Bheemanna http://www.iaeme.com/IJMET/index.asp 96 editor@iaeme.com Step 5: Boundary Condition and Setting NAME BOUNDARY TYPE LOCATION BOUNDARY DETAILS Inlet Inlet Inlet Normal speed 27.78 m/s, Flow Regime: Subsonic. Turbulence: Medium (Intensity = 5%) Outlet Outlet Outlet Average static pressure= 0pa Symmetry Symmetry Symmetric plane Car body Wall Car body Mass and Momentum: No slip wall. Wall Roughness: Smooth Wall Ground Wall Ground Wall U=27.78m/s, wall V =wall W=0 Far field Opening Sky and back plane Flow Regime: subsonic, Turbulence: Zero Gradient Mass and Momentum: Entrainment, 0. Table 4 Boundary condition According to the data from the table and figure, in reality the car is travelling at a constant speed U forward and the air is assumed to be still. In this case, it is equivalent to placing a stationary car in the air with a free stream speed U moving against the car towards the positive x direction. The ground also moves together with air in same speed and direction as the air. Figure 3 Boundary condition Boundary condition  The car is simulation to the drive at 100 km/h.  The car is assumed to be fixed or set as wall to the model.  The outlet boundary condition is set to pressure outlet with the gauge pressure of 0pa.  The car contour, the top and the bottom of the wind tunnel are set as walls.  The ground moves in the opposite direction at the same speed. Ground is set as wall, U velocity same as air is 27.78 ms^-1, V and W velocity are 0.  The density of air is set as 1.185 kg/m^3.  The dynamic velocity of air is 1.831 x 10^-5 kg/ms.  Relative pressure of sky and side plane is 0; average static pressure of outlet is 0.  Car body is set as wall.  Drag coefficient: force_x()@carbody*2/1.185[kg m^-3]/27.78[m s^- 1]^2/0.252[m]/0.17[m].
  • 7. Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys http://www.iaeme.com/IJMET/index.asp 97 editor@iaeme.com Boundary Flows for CFX: LOCATION TYPE MASS FLOW MOMENTUM X Y Z Car body Boundary 0.0000e+00 -7.0039e+00 4.3995e+00 1.8647e+01 Far field Boundary -2.3439e+00 -6.5293e+00 -4.2522e-03 3.9834e-03 Ground Boundary 0.0000e+00 3.9507e-02 -4.6187e+00 -3.8233e-03 Inlet Boundary 2.9627e+02 8.2306e+03 -3.0941e-08 3.1031e-02 Outlet Boundary -2.9604e+02 -8.2175e+03 2.3078e-01 -8.2808e-02 Symmetry Boundary 0.0000e+00 0.0000e+00 0.0000e+00 -1.8604e+01 Table 5 Boundary flows 4. RESULTS ANALYSIS AND DISCUSSIONS FOR CAR MODEL WITHOUT SPOILER 4.1 Pressure Contour, Velocity Vector, Streamline, Turbulence Kinetic Energy for Car without Spoiler Note: K-Epsilon and K-Omega are two approaches to simulate the model and have two different simulating results. 4.1.1 Pressure Contour for K- Epsilon Model and K-Omega Model Figure 4 pressure contour for K-Epsilon model and K- Omega model
  • 8. Praveen Padagannavar and Manohara Bheemanna http://www.iaeme.com/IJMET/index.asp 98 editor@iaeme.com According to the above figure, for both models the high pressure at the front of the vehicle is due to the flat and projected front portion. This can be reduced by making the design more streamlined. The pressure level varies behind the rear windshield and it is lower in the K-Epsilon model and the K-Omega model has lower pressure behind the car. The pressure for the K-Epsilon model range varies from 549pa to -852pa and K-Omega model pressure range varies from 548 pa to -879 pa, hence the K- Omega model does not account for wall boundary conditions. Different calculation methods are used for two different models so the results for both the models are alike. 4.1.2 Velocity Vector for K- Epsilon Model and K-Omega Model Figure 5 Velocity vector for K-Epsilon model and K-Omega model The above figure shows velocity vector of K-Epsilon and K-Omega. The K- Omega model does not involve complex non-linear damping functions required for the K-Epsilon model and is more accurate. According to the velocity plots when compared with K- Epsilon and K-Omega models, the negative area in K-Epsilon is larger than that in K-Omega model. The results using K-Epsilon modal is more accurate than using K- omega model. 4.1.3 Streamline Plots for K- Epsilon Model and K-Omega Model
  • 9. Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys http://www.iaeme.com/IJMET/index.asp 99 editor@iaeme.com Figure 6 Streamline plots for K-Epsilon model and K- Omega Model The above figure shows a vortex can be observed at the rear of the vehicle due to back pressure for the k-Epsilon model. The streamline flow over the rear of car body for k-Omega is more smooth and convergent. This proves k-Omega is most preferred for near wall problems. The high velocity at the top of the vehicle is due to the sudden change in profile. From the streamline plots it can be seen that, the turbulence behind the rear windshield in the K-Epsilon is larger than K-Omega. For the area behind the car, the turbulence in K-Epsilon is smaller. 4.1.4 Turbulence Kinetic Energy for K-Epsilon Model and K-Omega model Figure 7 Turbulence kinetic Energy for K-Epsilon model and K-Omega model The vehicle turbulence air is considered as a fluid medium through which our current model moves at constant speed U. There are many types of turbulence produced on roadways. The K-Epsilon model has become one of the most widely used turbulence models as it provides economy and accuracy for a wide range of turbulent flows. It is used for fully turbulent flow (high Reynolds number). It cannot handle low Re. and also flow separations. K-Omega is majorly used for near wall problems and damping functions are not required. The turbulence frequency is used as a variable for detecting length scales. According to the above figure, the turbulence kinetic energy behind the rear
  • 10. Praveen Padagannavar and Manohara Bheemanna http://www.iaeme.com/IJMET/index.asp 100 editor@iaeme.com windshield area in k-Epsilon model is around about 20 Kg m2 /s2 and 6 Kg m2 /s2 in the area behind the car. The above figure illustrates high level of turbulence at the rear end of the vehicle because of taper and small turbulence occurs over a larger distance in k-omega model. The kinetic energy behind the rear windshield does not change significantly because of the turbulence in K-Omega model. Nevertheless, the turbulence area behind the car is larger than in present K-Epsilon model. The K-Epsilon model, the turbulence kinetic energy behind the area of car is higher than K-Omega model. 4.2 Calculate the Lift and Drag Coefficient of Car Model without Spoiler 4.2.1 Drag Drag is the force that acts opposite to the path of the vehicle’s motion. Drag is detrimental to vehicle performance because it limits the top speed of a vehicle and increases the fuel consumption. Reducing drag in road vehicle has led to increasing the speed of vehicle, fuel efficiency handling, and acceleration Drag coefficient (CD) = FD / ( ½ * ρ * V2 * AF) (1) Where, FD is the drag force ρ is the air density, V is the free stream velocity AF is the frontal area of the vehicle. 4.2.2 Lift Lift can be manipulated to enhance the performance of a race car and decrease lap times. Lift is the force that acts on a vehicle normal to the road surface that the vehicle rides on. Lift coefficient (CL) = FL / ( ½ * ρ * V2 * AT) (2) Where FL is the lift force ρ is the air density V is the free stream velocity AT is the area of the top surface of the vehicle The forces and coefficient of the two models are as following below: K-EPSILON K-OMEGA DRAG FORCE 7.25692 N 8.05381 N DRAG COEFFICIENT 0.375363 0.420639 LIFT FORCE -3.96126 N -4.87552 N LIFT COEFFICIENT -0.2245 -0.24306 Table 6 Force and coefficient The table shows, Drag coefficient and lift coefficient for the two turbulence car models. The two turbulence models have two different results. The drag force and coefficient in K-Omega are larger than in K-Epsilon model and the lift force and coefficient in K-Omega are both smaller than compared to K-Epsilon model. According to the results, it is understood that the car can hold the ground better in K- Omega model than in K-Epsilon model.
  • 11. Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys http://www.iaeme.com/IJMET/index.asp 101 editor@iaeme.com 4.2.3 Calculate Co-efficient drag (Cd) and Co-efficient lift (C ) Car Body C C Generic Automotive 0.32 0.43 Model -0.046 0.36 K- Epsilon -0.049 0.41 K-Omega Table 7: Cd and Cl The coefficients in the model are lower than the generic car because of different shape of car body. The model is developed on spline, so angle is blunter, area smoother and drag is lower than generic. The bottom of the model is smoother and speed flow is slower than generic car. A symmetric model cannot cause to happen lift force and round body has lowest drag coefficient. The lift force of the model car is negative and the force is acting down towards the ground and this is useful for stability of the vehicle and driving. 5. RESULTS ANALYSIS AND DISCUSSIONS FOR CAR MODEL WITH SPOILER 5.1 Y Plus Value, Pressure Contour, Velocity Vector, Streamline, Turbulence Kinetic Energy with Spoiler for K-Epsilon Model NOTE: Spoiler reduces the drag force and the lift force on the road. 5.1.1 Y Plus Plot with Spoiler for K-Epsilon Model Figure 8 y plus plot with spoiler for K-Epsilon According to the results, the Y plus values should not exceed 300 and by analysis the results we got: K-epsilon model car body is 143, K-omega model car body is 135 and K-epsilon model car body with spoiler is 142. So it meets all the following conditions. It is important to have the y+ values less than the allowed limit because it determines the quality of the mesh for the flow pattern and to have appropriate Reynolds number for the turbulent flow.
  • 12. Praveen Padagannavar and Manohara Bheemanna http://www.iaeme.com/IJMET/index.asp 102 editor@iaeme.com 5.1.2 Pressure Contour Plots with Spoiler for K-Epsilon Model Figure 9 pressure contour plot with spoiler for K-Epsilon model The above figure shows the pressure in the model of a car-spoiler. The pressure is focused on the front part of the vehicle and the rear part of the car body does not undergo extreme pressure. Furthermore, the area on the top of the spoiler is pushed downwards with approximately 200pa. When the high pressure air approaches in front of the windshield, the air travels over the windshield and accelerates and then decrease in pressure. This lower pressure produces a lift force on the car roof as the air passes over it. The pressure behind the car-spoiler is reduced. There is a large amount of pressure over the spoiler surface and this pressure is generating down force and results in better stability of the vehicle. 5.1.3 Velocity Vector with Spoiler for K-Epsilon Model Figure 10 velocity vector with spoiler for K-Epsilon model From the above figure, the velocity on top of the car especially at the spoiler end is more than the velocity under the car. This increases the downward force which helps the car to stay on the road. 5.1.4 Streamline Plot with Spoiler for K-Epsilon Model Figure 11 streamline plot with spoiler for K-Epsilon model
  • 13. Automotive Computational Fluid Dynamics Simulation of A Car Using Ansys http://www.iaeme.com/IJMET/index.asp 103 editor@iaeme.com From the above figure, the spoiler splits the air flow at the rear and it consequently reduces the velocity on top of the car and reduces the formation of a vortex at the rear. But there is a high pressure zone created above the spoiler. 5.1.5 Turbulence Kinetic Energy with Spoiler for K-Epsilon Model Figure 12 Turbulence kinetic energy with spoiler for K-Epsilon model In the above figure, the turbulence area in the car spoiler is smaller compare to K- Epsilon model. The turbulence kinetic energy of K-Epsilon car model is approximately 23 Kg m2 /s2 compared with K-Epsilon model which is smaller. 5.2 Lift and Drag Coefficient for the Car Spoiler Model K-EPSILON K-OMEGA K-EPSILON CAR CAR CAR SPOILER DRAG FORCE 7.15692 N 8.04382 N 8.70156 N 0.111492 N 8.813052 N DRAG COEFFICIENT 0.365362 0.410639 0.444216 LIFT FORCE -3.86116 N -4.76551 N -5.50031 N -7.37853 N -12.87884 N LIFT COEFFICIENT -0.0496725 -0.0613066 -0.66078 DRAG COEFFICIENT DRAG FORCE LIFT COEFFICIENT LIFT FORCE 0.44 8.81 N -0.660 -12.87 N CAR BODY Cl Cd K-EPSILON -0.049 0.36 CAR SPOILER -7.37 N 0.44 Table 8 Lift and Drag Coefficient for the Car Spoiler Model The Compared with the K-Epsilon car model Cl and Cd are both smaller than the car spoiler model. The drag force differs because of spoiler. The turbulence and flow created by spoiler that increases the drag force of the vehicle. The reason is that the spoiler suffers from turbulence and flow. The drag force of the car model with a spoiler is higher than the without spoiler. When it comes to lift coefficient and force have lots of changes. In the front and rear of the spoiler there is positive pressure and there would be additional drag force when compared with car model. The top aspect
  • 14. Praveen Padagannavar and Manohara Bheemanna http://www.iaeme.com/IJMET/index.asp 104 editor@iaeme.com of spoiler is positive pressure and bottom receives negative pressure. The increase in the lift force is the main reason that the down force in car spoiler is large than in car model without spoiler. 6. CONCLUSION The Reynolds average Navier Stokes equations or single car body model can be solved in two ways by using K-Epsilon and K-Omega turbulence models. The single car with spoiler has been solved using K-Epsilon model. For the different types of mesh K-Epsilon and K-Omega the simulation results are different. The results of K- Omega models provides more smooth of the fluid medium over the car body surface reducing the swirls at the rear window region. The coefficient of drag and lift along with drag and lift forces has been calculated by using the equation. Cl and Cd in K- omega model are both larger than in K-Epsilon model. K-Omega model have better down force than K-Epsilon model but has larger drag force. The car spoiler is a better way to increase the down force. The results will be different in case of adding a spoiler. In velocity vector plots with spoiler, an excess force acts on rear end resulting in an increase in downwards force which ultimately increases the frag on the car. The state of different car model in fluid domain can be simulated and different model have different actions in fluid domain and also different method of analysis. The computational fluid dynamics provides visual images and numerical data to simulate the car body in the fluid flow. The computational fluid dynamics provides simulations for design which can be used in practical. The results also help to reduce the fuel consumption and increase the stability of the vehicle. CFD contributes vehicle design, visible results and shows approximate results and helps simulations for designers to design the vehicle and improve accordingly. REFERENCES [1] Anderson, ‘Race Car Aerodynamics Part 2: Lift and Drag’, 2014. [2] http://jeffrin.hubpages.com/hub/Mesh-Generation-in-CFD-An-Overview. [3] J.Ducoste, ‘An Overview of Computational Fluid Dynamics’, 2008 [4] Katz, J. 1995, ‘Race car aerodynamics: Designing for speed’, 1st edn, Robert Bentley. [5] M.Cable, ‘An Evaluation of Turbulence Models for the Numerical Study of Forced and Natural Convective Flow in Atria’, 2009. [6] Rakesh Jaiswal, Anupam Raj Jha, Anush Karki, Debayan Das, Pawan Jaiswal, Saurav Rajgadia, Ankit Basnet and Rabindra Nath Barman, Structural and Thermal Analysis of Disc Brake Using Solidworks and Ansys. International Journal of Mechanical Engineering and Technology, 7(1), 2016, pp. 67–77. [7] Janvijay Pateriya, Raj Kumar Yadav, Vikas Mukhraiya and Pankaj Singh, Brake Disc Analysis with the Help of Ansys Software. International Journal of Mechanical Engineering and Technology, 6(11), 2015, pp. 114–122.