S2000 Aerodynamics
This is a summary of my thoughts on S2000 aerodynamics. I am not
an engineer but as a career pilot I have studied subsonic and supersonic
aircraft aerodynamics. I also highly recommend the book
Competition Car Aerodynamics
for an in depth look into the subject of automobile
aerodynamics.
NASCAR Computational Fluid Dynamics (CFD) Surface Pressure
Plot
In the CFD pressure plot above note these standard pressure
areas common to most cars: very high pressure (red) bubble on the nose of the car, the slight low pressure (aqua)
over the hood, the moderate pressure (yellow) bump at the hood/windshield junction
and the very low pressure (dark blue) area above the roof of the car where most
of the lift is generated. Graphic by
Michael Waltrip Racing.
Wing
There's no doubt the S2000 greatly benefits from a rear wing.
Everything from the stock CR S2000 rear wing to huge roof level wings have
successfully been used on track. After running over a year with an APR GTC-200
wing I removed it and a small APR front splitter to qualify for a NASA TTC
time trial. My lap times were 1.5 seconds slower without the aero aid and the
car was scary light & loose around the track's three high speed corners (I still
won the TT though ).
A wing should definitely be your first aero add-on for the S2000.
The S2000 has a tendency to understeer on fast corners at full
throttle when running a wing. Adding a splitter to the front bumper is a great
way to help restore some high speed aero balance. To get the full benefit of a
splitter it needs to be at a low 3 inches or less above the ground so that air
flowing below the splitter will create downforce but at that
height very stiff springs are required to keep it from hitting the ground under
heavy braking when the nose pitches down. But even at stock ride height a
splitter will be beneficial because the high pressure on top of the splitter
will create downforce.
Honda 2004+ OEM Optional Wing
I've never seen one in person but it looks like it would be
functional.
Note that it is possible to tune the low speed and high speed
handling separately by adjusting the car's aerodynamics for high speed handling.
You can use the normal suspension tuning (alignment, sway bars, shock settings)
to make the car oversteer on slow corners to help you rotate the car, but run
extra rear downforce so it under steers slightly at high speed because high speed
oversteer is pretty scary and usually leads to overly cautious driving and slow
lap times.
S2000 CR Wing
The CR wing is a medium mount, 3D profile wing with good
size end plates. It has proven to be an effective track wing for racing and time
trial.
A wing can be adversely affected by anything that upsets the
airflow over the hood, windshield or roof of the car. Placing a GoPro camera on
your windshield can reduce the effectiveness of your wing. Removing your
windshield wipers may smooth out the airflow enough to add some wing generated
downforce.
Wind Tunnel Testing of Airflow Below Mid Level Wing on Lotus
Wing end plates prevent the high pressure air above the wing
from spilling around the edge of the wing. By keeping the high and low pressure
areas separate the wing will be more efficient. After researching wing pressure plots
(graphic below) I decided to move my APR GTC-200 wing's custom
end plates forward and slightly lower after seeing that the low pressure under
the wing can actually extend forward of the wing. You can also see how much
stronger the low pressure under the wing is compared to the high pressure above
the wing so end plates should extend farther below the wing than above.
Recommended Reading
CFD Generated Wing Pressure
Plot
Side view of wing. Blue is low air pressure, red is high
pressure. Graphic by
Hancha Group Consulting.
The plot above also suggests the original APR GTC-200 wing end
plates are not backwards after all.
Stock
APR GTC-200
Wing with Standard Riser & End Plates
The GTC-200 wing is the most popular wing for the S2000. It
has a 3D profile to minimize wing stall in the center of the wing and an
optional riser can get it higher off the deck lid (risers not shown in pic
above). Note the large soft top ridges which cause turbulence, drag
and dirty airflow to the wing. A hard top is lighter and smoother which
decreases drag and increases the efficiency of a wing.
APR GTC-200 Wing with 2 1/2 inch Risers & 12x12 inch End
Plates
When considering wing end plate size, bigger is better until you get to
crazy big, like larger than F1 wing mounts/endplates so my 12x12in end plates
(max NASA PTx size) will not be trimmed. The large end plates also act as yaw
stabilizers in a skid. Another possible benefit is they may act as vertical
wings and create low pressure on the wing side of the end plate which would
augment the low pressure created by the wing. As air on the side of the car
flows past the hard top it will tend to flow inward over the trunk lid. This
inward flowing air will flow around the end plate like a flat wing with high
pressure on the outside and low pressure on the inside surface.
Airflow Over the Miata and Through the Wing
Graphic by
Hancha Group Consulting.
Note the stall condition on the center of the wing in the
graphic above. Even at almost roof height this wing's center section is stalled
out. The downward flow of the air coming off the center of the hard top may be
creating too great an angle of attack and causing the stall/loss of downforce. A
3D wing, such as the APR GTC-200, reduces the angle of attack at the center of
the wing for this very reason. Most of a wing's downforce is created on the
outside 2/3's where the airflow is relatively clean and flat.
More Wing!
Splitter
If your S2000 has a wing it should have a splitter to help aerodynamic
balance. I have tested my S2000 race car (with rear wing) using four different size
splitters. A small APR fiberglass splitter with about 1.5 inches of extension
ahead of the bumper, a huge 7 inch splitter made of 3/8 inch plywood, a 2 inch
Honda Challenge legal plywood splitter and my current 4 1/2 inch plywood splitter. The only
change that made an appreciable difference in handling or lap times was when I
trimmed my 7 inch splitter down to 2 inches. My lap times immediately dropped by
over a second. The large splitter must have been generating excess drag.
My Current Splitter Before Modification to Extend Airflow
Around Front Tires
Notice how CE28 17x9 +63 offset wheels and 255/40/17 tires
extend well beyond front bumper and take a direct hit from high speed airflow coming around
the nose and off the splitter.
I added splitter dams to my splitter's outside edge to bumper
junction to try and keep the very high velocity air spilling around the splitter/bumper junction
from hitting the front tires. The S2000's nose
shape will cause even more air to flow around the sides of the car than the Ford Fusion
NASCAR in the CFD diagram below. Running wider than stock front tires will increase
the drag caused by this side airflow because the tires extend out into the
airstream. I run a square 255 width tire setup (stock is 205) and the front tires extend over
three inches outward beyond the front bumper.
In the book, Competition Car Aerodynamics, by Simon McBeath (yea, tell
your friends you enjoyed reading McBeath) he discusses how splitter dams (he
refers to them as a "vertical fence") increase downforce by creating a high
pressure area on top of the splitter in front of the dams--so they are a win-win
with less drag than bare tires in the airstream plus additional splitter
downforce.
4 1/2 Inch Splitter With Splitter Dams
Unpainted aluminum splitter dams fitted to increase
downforce on splitter and reduce drag from airflow off the splitter-bumper
junction onto the front tires.
Ford Fusion NASCAR Velocity Plot
White arrow points to high velocity (red) airflow at
splitter/bumper junction. Red is high velocity, yellow is normal, blue & green
low. Normally high velocity = low pressure and low velocity = high pressure. The
S2000's tires extend beyond the front bumper into the airflow. Running wider
front tires will significantly increase this drag. Graphic by
Michael Waltrip Racing.
The drag caused by this very high velocity airflow striking the tire may
be the reason why my Mongo (very large) splitter was so slow. It extended five
inches beyond the side of the body which would increase the airflow onto
the tire. There seems to be no benefit to extend a splitter beyond the outside
edge of the car (unless you add tire blocking splitter dams like above) and this may indeed increase turbulence and drag. Almost all race car
splitters without end plates match the width of the splitter to the front
bumper.
The graphic above also hints at what the optimal shape of an S2000 splitter
might be. Because the S2000's nose is somewhat arrowhead shaped the highest
pressure air will be around the flat center area. This is where the splitter
should extend the most. As the airflow moves laterally to the angled part of the
nose it will accelerate and the pressure will drop on top of the outside part of
the splitter so the splitter need not extend as far in this area.
S2000 Nose
Sharply angled nose reduces high pressure area in front of
car to reduce drag.
Mongo 7 inch Plywood Splitter
I dropped my lap time over a full second when I trimmed
this monster splitter down to 2 inches. It was generating much more drag than
downforce. Note how the splitter extends 7 inches forward and 5 inches beyond
the side of the bumper. Also note the 12x12 inch rear wing end plates. I
moved them forward and slightly lower from this position for more wing
efficiency and less drag.
A recent study found no increase in drag when a splitter was increased from 4 to 6 inches of extension so
something else caused the Mongo splitter's rise in lap times. Another
possibility is increased drag due to splitter flex.
The graphic below is a comparison between a car with an air dam alone and an
air dam with a splitter. The S2000's straight drop nose is similar to a shallow
air dam so the graphic is relevant. Red is high pressure, blue is low. You can see how the
splitter reaches out and chops off the bottom of the high pressure (red) bubble on the
nose of the car. The high pressure also concentrates on top of the splitter
which pushes it downward for downforce. The airdam alone creates a lot of low
pressure under the car so adding the splitter doesn't add much more low pressure
but it does move the low pressure forward which will put more pressure on the
front wheels (but reduce pressure on the rear wheels).
CFD Pressure Plot Comparing Air Dam alone to Air Dam + Splitter
Note how the high pressure (red) bubble sits on top of the splitter adding
downforce. The underside of the splitter also generates low pressure (blue) and
downforce but the splitter needs to be lower than about 3 inches to generate
this low pressure area. Graphic by
Hancha Group Consulting.
There also seems to be consensus that 100mm of splitter extension (about 4
inches) is the sweet spot.
The rear edge of the splitter should be gently tapered upward so it will act
as a "mini diffuser."
Spoilers
Deck lid spoilers can be beneficial in three ways: They can reduce
lift, generate downforce and reduce drag. I'm considering attempting to bend some 1 inch aluminum angle stock to follow
the shape of the top of the rear trunk edge between the wing supports to act as
a short deck lid spoiler to add some downforce with very little added
drag. I'm going to initially try a 30º spoiler angle.
Deck lid spoilers reduce lift by "spoiling" the airflow forward of the
spoiler--over the trunk and rear of the top--so a low velocity, high pressure
pool of air stagnates there, replacing the high speed, low pressure air that
would normally be there creating lift.
Deck Lid & Brake Light Shaped Into Functional Spoiler
Honda OEM Deck Lid Spoiler
Spoiled Airflow Forward of Deck Lid Spoiler
Even the small OEM S2000 deck lid spoiler should reduce
lift.
Deck lid spoilers generate downforce when they deflect the airflow over them
upward. Smaller spoilers at low angles (< 30º) can also reduce turbulence and/or low pressure behind the car and actually
reduce drag.
Deck Lid Spoiler Reducing Drag by Reducing Low Pressure
Behind Car
Graphic by Ministry Of Wheels
The low pressure area behind the car (dashed area) pulls on
the car as drag.
Other Aerodynamic Aids
Running a hard top will smooth the airflow over the roof and to a wing
or deck lid spoiler and reduce drag. But smoothing the airflow has a slight
detrimental effect of increasing the lift generated by the roof. Another aero
benefit of a hard top is the rear roof/trunk lid junction is smoothed out and
moved rearward which also helps the airflow to a wing or deck lid spoiler. The
rear interior of the soft top can also pressurize (caused by air flowing into
the open windows) and flap around which can disrupt airflow over the top.
Removing the soft top and it's extension mechanism will also reduce the cars
weight.
Extending the S2000's leading edge of the bumper downward buy installing an
air dam would be very beneficial. Air dams create a very low pressure
area behind them which creates downforce and they also reduce the airflow under
the car which decreases drag. The combination of an air dam and splitter is even
better (see Miata Aerodynamics below). Putting a spacer between the bumper and
splitter is the easiest way to accomplish this on the S2000.
A rear diffuser must run very low to the ground to be effective so for
an S2000 to truly benefit from a diffuser it needs to be very low and run a very
stiff suspension. Smooth airflow under the car will also greatly improve the
effectiveness of a diffuser so a flat under tray is desirable.
A flat under tray has a dual benefit of reducing drag and if low
enough creating downforce but it's a difficult and/or expensive option. Combine
a flat bottom with a little forward rake and you can create a diffuser effect.
You can also screw up your engine, transmission and differential cooling airflow
if you don't know what you're doing. When run low enough a flat under tray will
produce downforce. Flat under trays are expensive and must be removed to perform
most under car maintenance.
S2000 Under Tray
Lists for $2000 before shipping from Japan.
I added a small central hood vent to take advantage of the low
pressure area over the top of the hood. The low pressure helps extract hot
radiator airflow from the engine bay and should help increase the airflow
through the radiator. The S2000 tends to run very hot oil temperatures on track
so extra cooling is a good thing.
The hood vent will also reduce the lift generated by the hood and should also
help clean up the airflow under the car because less engine compartment air is
forced to flow out the bottom of the engine bay. Adding radiator ducting to
direct radiator outflow up to a large hood opening can have a dramatic effect on
undercar downforce and drag. Overall a hood vent is a win-win-win modification.
Hood Vent
Arrows point to best locations for additional venting.
I have 2 1/2 inch brake ducting tapped at the front bumper recesses.
Brake ducting greatly enhances brake pad life and reduces the possibility of
brake overheating and fade.
My interior panoramic rearview mirror gives a very good view of the right
side of the car so I removed the passenger side rearview mirror (reducing
weight and drag).
I'm considering adding some small aluminum dive planes to the front
bumper. With so much lateral air flow around the S2000's nose the dive planes
should work well to add some downforce to help balance the rear wing's
downforce.
S2000 CR Bumper with "Dive Planes"
Because of the high speed horizontal airflow along the
outside of the front bumper the "dive planes" on the CR bumper most likely are
very functional and do add downforce. The bumper extensions also help block
airflow around the front tires to reduce drag.
I considered venting my rear bumper to allow wheel well and underbody
air to flow through. I did some testing with the rear bumper cover completely
removed and my top speed was not affected at all so I decided not to bother
cutting up my bumper.
The "Fastback" S2000 hard top looks to be very effective in reducing
the pressure, turbulence and drag at the normal car's roof & trunk lid junction.
This would allow the rear wing to get much cleaner air resulting in a more
efficient wing (run a flatter wing with less drag). The Fastback hard top also
has a nice lip spoiler that would tend to add some downforce and possibly reduce
drag.
S2000 Fastback Hard Top & Rear Diffuser
Excellent CFD Generated Animation of Airflow Video
Click image to play
CFD Velocity Plot of the New Ford Mustang
Note the blue low pressure area below the udder.
Mazda Miata CFD Generated Aerodynamic Info
Of course the Miata isn't a perfect match for the S2000 but it's close enough
to glean some good info.
CFD Models Plotted Below
1. Stock 1990-1997 (first generation) Mazda Miata
2. Stock 1990-1997 Mazda Miata lowered to a 4 inch Ride Height
3. Small Front Air Dam at 4in Ride Height
4. Small Air Dam with Splitter at 4 in Ride Height
5. Large Air Dam at 4in Ride Height
6. Large Air Dam with Splitter at 4in Ride Height
Note: The air dam and/or splitter is 2 inches off the ground in study 3-6
The Hancha Group created
the following graphs and tables using the free Openfoam Computational Fluid
Dynamics (CFD) software and Paraview. The following text in this article is by
Rob Robinette.
Air Pressure Plots @ 100mph
Setup 1, Stock 1990-1997 Miata
All graphics in this section by
Hancha Group Consulting.
In the CFD pressure plot above note these standard pressure
areas: very high pressure (red) bubble on the nose of the car, the very low
pressure (blue) under the nose, the slight low pressure (light blue) over the
hood, the moderate pressure (red & yellow) bump at the hood/windshield junction
and the very low pressure (dark blue) area above the roof of the car where most
of the lift is generated.
For this stock Miata above there is a slight low pressure under
the nose (blue) and the very high pressure spike (red) in front of the front
tires and compare to the plots below. The high pressure on the front
tires is why the S2000 comes with front tire wind blockers under the nose. The
high pressure spike at the hood/windshield junction is why it is common practice
to use this area as the cabin air vent source. It's also the reason why many
racers
remove their windshield wipers.
Take the low pressure areas under the mid and rear sections of
the Miata model in these graphics with a grain of salt. This simplified model
has an almost flat bottom which will generate downforce if low enough to the
ground.
Setup 2, Stock But Lowered to 4 inch Ride Height
Note the much more pronounced low pressure area under the
nose and much less pressure in front of the front tires.
Setups 3 through 6
#3 has small air dam, 4 has small air dam + splitter, 5 has
large air dam, 6 has large air dam + splitter. Setup 6 (large air dam +
splitter) has a very low pressure area under the entire splitter and generates
the most downforce and least drag.
Pressure Below Car
Note the large, very well formed low pressure area under
the splitter in setup 6 (large air dam + splitter).
Velocity Plots
High velocity airflow is red & yellow, low is light blue,
blue & purple. Note how the downforce created by setup 6 (large air dam +
splitter) alters the shape and speed of the airflow behind the car. Good front
aero can make a rear wing and rear diffuser more effective.
Miata CFD Summary Table
cd is coefficient of drag, cl is
coefficient of lift, L/D is lift over drag--a measurement of efficiency with
larger being better
In the table above I was surprised to see drag increase when the
car was lowered (setup 2). I have always assumed that a lowered car presents a
smaller frontal area so there would be less drag. Note also the lift (negative
downforce) was greatly reduced from -106lbs to -31lbs by simply lowering the
car. I believe these two results--greatly reduced lift and increase in
drag--are simply products of the model's simplified (almost flat) underside.
If you compare the stock and lowered pressure plot graphics above (setup 1 & 2)
you see the pressure above the car is almost identical so there must be
downforce generated under the car to explain the majority of the 75lb decrease
in lift. The underside of a real Miata is too messy to generate almost 75lbs
of downforce by simply being lowered.
Keep in mind this model Miata and most other CFD models have
their windows up while most amateur track/race cars have to run with the
windows down or removed. This would definitely increase the coefficient of drag
and could disrupt the airflow to downstream aero devices such as the rear wing.
Summary of Findings
Adding an airdam (setup 3 & 5) added downforce and
reduced drag.
Adding a splitter (setup 4 & 6) added more downforce and
reduced drag.
The combination of the large air dam and splitter (setup 6)
created the least drag and most downforce--a definite win-win.
|