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[fp024e] Cockpit Openings
Formula cars generally have a cockpit opening. However, it is not difficult to imagine that the opening will be an aerodynamic disadvantage.
In this study, CFD calculations are performed on several types of formula-style car cockpit openings to examine their effects.
- Overall Length : 3980 [mm]
- Overall Width : 1800 [mm]
- Wheel Base : 2650 [mm]
- Road Legal Design
- GitHub: https://github.com/y-yosuke/formula-ppoino


- for the control data
- Opening Area at Z610mm : 0.348 [m2]

- Opening Area at Z610mm : 0.324 [m2]

- Opening Area at Z610mm : 0.313 [m2]

- Opening Area at Z610mm : 0.289 [m2]

- Opening Area at Z610mm : 0.262 [m2]

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Opening Area at Z610mm : 0.000 [m2]
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However, because the CFD calculation model is mirrored at the center plane for reducing nodes, it is equivalent to the model with the driver and passenger seats both covered with fairings.
SimScale Project URL: https://www.simscale.com/workbench/?pid=4976467516240040687&mi=spec%3A556bf652-d7dd-4ccb-9f29-daede015a919%2Cservice%3ASIMULATION%2Cstrategy%3A98
Conditions Freestream Velocity Magnitude Value : 30 [m/s] Ride Height : Front / Rear = 110 [mm] / 110 [mm]
| Coef. | Whole Car | Body | Fr Wheel | Rr Wheel |
|---|---|---|---|---|
| Cm | 0.0274 | 0.0022 | 0.0211 | 0.0041 |
| Cd | 0.5679 | 0.4567 | 0.0490 | 0.0622 |
| Cl | -0.1922 | -0.2298 | 0.0305 | 0.0071 |
| Clf | -0.0687 | -0.1127 | 0.0364 | 0.0076 |
| Clr | -0.1235 | -0.1171 | -0.0059 | -0.0006 |
| CoP | 0.6426 | 0.5095 | -0.1925 | -0.0791 |
| L/D | -0.3384 | -0.5031 | 0.6225 | 0.1134 |
| Coef. | Whole Car | Body | Fr Wheel | Rr Wheel |
|---|---|---|---|---|
| Cm | 0.0290 | 0.0036 | 0.0213 | 0.0041 |
| Cd | 0.5629 | 0.4504 | 0.0493 | 0.0632 |
| Cl | -0.1949 | -0.2328 | 0.0307 | 0.0072 |
| Clf | -0.0684 | -0.1128 | 0.0366 | 0.0077 |
| Clr | -0.1265 | -0.1200 | -0.0059 | -0.0005 |
| CoP | 0.6488 | 0.5155 | -0.1920 | -0.0740 |
| L/D | -0.3463 | -0.5169 | 0.6239 | 0.1137 |
| Coef. | Whole Car | Body | Fr Wheel | Rr Wheel |
|---|---|---|---|---|
| Cm | 0.0319 | 0.0067 | 0.0211 | 0.0041 |
| Cd | 0.5638 | 0.4521 | 0.0491 | 0.0626 |
| Cl | -0.1948 | -0.2322 | 0.0304 | 0.0071 |
| Clf | -0.0654 | -0.1094 | 0.0363 | 0.0077 |
| Clr | -0.1293 | -0.1228 | -0.0059 | -0.0006 |
| CoP | 0.6640 | 0.5290 | -0.1938 | -0.0844 |
| L/D | -0.3454 | -0.5136 | 0.6181 | 0.1128 |
| Coef. | Whole Car | Body | Fr Wheel | Rr Wheel |
|---|---|---|---|---|
| Cm | 0.0320 | 0.0069 | 0.0211 | 0.0040 |
| Cd | 0.5618 | 0.4496 | 0.0492 | 0.0630 |
| Cl | -0.2008 | -0.2385 | 0.0304 | 0.0073 |
| Clf | -0.0684 | -0.1124 | 0.0363 | 0.0077 |
| Clr | -0.1324 | -0.1261 | -0.0059 | -0.0004 |
| CoP | 0.6594 | 0.5287 | -0.1937 | -0.0520 |
| L/D | -0.3574 | -0.5306 | 0.6186 | 0.1161 |
| Coef. | Whole Car | Body | Fr Wheel | Rr Wheel |
|---|---|---|---|---|
| Cm | 0.0333 | 0.0082 | 0.0211 | 0.0041 |
| Cd | 0.5618 | 0.4498 | 0.0491 | 0.0628 |
| Cl | -0.1999 | -0.2375 | 0.0304 | 0.0072 |
| Clf | -0.0666 | -0.1105 | 0.0363 | 0.0077 |
| Clr | -0.1333 | -0.1269 | -0.0059 | -0.0004 |
| CoP | 0.6667 | 0.5345 | -0.1938 | -0.0604 |
| L/D | -0.3558 | -0.5280 | 0.6183 | 0.1152 |
| Coef. | Whole Car | Body | Fr Wheel | Rr Wheel |
|---|---|---|---|---|
| Cm | 0.0489 | 0.0237 | 0.0216 | 0.0036 |
| Cd | 0.5535 | 0.4419 | 0.0492 | 0.0625 |
| Cl | -0.2102 | -0.2495 | 0.0313 | 0.0080 |
| Clf | -0.0562 | -0.1010 | 0.0372 | 0.0076 |
| Clr | -0.1540 | -0.1485 | -0.0059 | 0.0003 |
| CoP | 0.7328 | 0.5951 | -0.1880 | 0.0426 |
| L/D | -0.3797 | -0.5646 | 0.6373 | 0.1277 |
Comparison of the Whole Body Coefficients
| Coef. | Original Cockpit Opening |
Helmet on Racing Position |
Center Bridge | Center Bridge & Helmet |
25mm Thicker Head Rest |
Passenger Seat Fairing |
|---|---|---|---|---|---|---|
| Cd | 0.5679 | 0.5629 | 0.5638 | 0.5618 | 0.5618 | 0.5535 |
| Cl | -0.1922 | -0.1949 | -0.1948 | -0.2008 | -0.1999 | -0.2102 |
| Clf | -0.0687 | -0.0684 | -0.0654 | -0.0684 | -0.0666 | -0.0562 |
| Clr | -0.1235 | -0.1265 | -0.1293 | -0.1324 | -0.1333 | -0.1540 |
| CoP | 0.6426 | 0.6488 | 0.6640 | 0.6594 | 0.6667 | 0.7328 |
| L/D | -0.3384 | -0.3463 | -0.3454 | -0.3574 | -0.3558 | -0.3797 |
Differences from "Original Cockpit Opening"
| Coef. | Original Cockpit Opening |
Helmet on Racing Position |
Center Bridge | Center Bridge & Helmet |
25mm Thicker Head Rest |
Passenger Seat Fairing |
|---|---|---|---|---|---|---|
| ∆Cd | 0.0000 | -0.0050 | -0.0041 | -0.0061 | -0.0062 | -0.0144 |
| ∆Cl | 0.0000 | -0.0027 | -0.0026 | -0.0086 | -0.0076 | -0.0180 |
| ∆Clf | 0.0000 | 0.0003 | 0.0033 | 0.0003 | 0.0021 | 0.0126 |
| ∆Clr | 0.0000 | -0.0030 | -0.0058 | -0.0089 | -0.0097 | -0.0305 |
| ∆CoP | 0.0000 | 0.0063 | 0.0214 | 0.0168 | 0.0242 | 0.0903 |
| ∆L/D | 0.0000 | -0.0078 | -0.0070 | -0.0189 | -0.0173 | -0.0413 |

| Cockpit Opening | Whole Car | Body | Fr Wheel | Rr Wheel |
|---|---|---|---|---|
| Original Cockpit Opening | 0.5679 | 0.4567 | 0.0490 | 0.0622 |
| Helmet | 0.5629 | 0.4504 | 0.0493 | 0.0632 |
| Center Bridge | 0.5638 | 0.4521 | 0.0491 | 0.0626 |
| Center Bridge & Helmet | 0.5618 | 0.4496 | 0.0492 | 0.0630 |
| 25mm Thicker Head Rest | 0.5618 | 0.4498 | 0.0491 | 0.0628 |
| Passenger Seat Fairing | 0.5535 | 0.4419 | 0.0492 | 0.0625 |
Cd Differences from "Original Cockpit Opening"
| Cockpit Opening | Whole Car | Body | Fr Wheel | Rr Wheel |
|---|---|---|---|---|
| Original Cockpit Opening | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| Helmet | -0.0050 | -0.0063 | 0.0002 | 0.0010 |
| Center Bridge | -0.0041 | -0.0046 | 0.0001 | 0.0004 |
| Center Bridge & Helmet | -0.0061 | -0.0071 | 0.0002 | 0.0008 |
| 25mm Thicker Head Rest | -0.0062 | -0.0069 | 0.0001 | 0.0006 |
| Passenger Seat Fairing | -0.0144 | -0.0148 | 0.0002 | 0.0002 |

| Cockpit Opening | Whole Car | Clf | Clr | Body | Fr Wheel | Rr Wheel |
|---|---|---|---|---|---|---|
| Original Cockpit Opening | -0.1922 | -0.0687 | -0.1235 | -0.2298 | 0.0305 | 0.0071 |
| Helmet | -0.1949 | -0.0684 | -0.1265 | -0.2328 | 0.0307 | 0.0072 |
| Center Bridge | -0.1948 | -0.0654 | -0.1293 | -0.2322 | 0.0304 | 0.0071 |
| Center Bridge & Helmet | -0.2008 | -0.0684 | -0.1324 | -0.2385 | 0.0304 | 0.0073 |
| 25mm Thicker Head Rest | -0.1999 | -0.0666 | -0.1333 | -0.2375 | 0.0304 | 0.0072 |
| Passenger Seat Fairing | -0.2102 | -0.0562 | -0.1540 | -0.2495 | 0.0313 | 0.0080 |
Cl Differences from "Original Cockpit Opening"
| Cockpit Opening | Whole Car | Clf | Clr | Body | Fr Wheel | Rr Wheel |
|---|---|---|---|---|---|---|
| Original Cockpit Opening | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| Helmet | -0.0027 | 0.0003 | -0.0030 | -0.0031 | 0.0002 | 0.0001 |
| Center Bridge | -0.0026 | 0.0033 | -0.0058 | -0.0024 | -0.0001 | 0.0000 |
| Center Bridge & Helmet | -0.0086 | 0.0003 | -0.0089 | -0.0088 | -0.0001 | 0.0003 |
| 25mm Thicker Head Rest | -0.0076 | 0.0021 | -0.0097 | -0.0077 | -0.0001 | 0.0002 |
| Passenger Seat Fairing | -0.0180 | 0.0126 | -0.0305 | -0.0197 | 0.0008 | 0.0009 |

| Case | Half of Cockpit Open Area m2 |
Cd | Cl | Clf | Clr | CoP | L/D |
|---|---|---|---|---|---|---|---|
| Original Cockpit Opening | 0.3479 | 0.5679 | -0.1922 | -0.0687 | -0.1235 | 0.6426 | -0.3384 |
| Helmet | 0.3237 | 0.5629 | -0.1949 | -0.0684 | -0.1265 | 0.6488 | -0.3463 |
| Center Bridge | 0.3129 | 0.5638 | -0.1948 | -0.0654 | -0.1293 | 0.664 | -0.3454 |
| Center Bridge & Helmet | 0.2887 | 0.5618 | -0.2008 | -0.0684 | -0.1324 | 0.6594 | -0.3574 |
| 25mm Thicker Head Rest | 0.2620 | 0.5618 | -0.1999 | -0.0666 | -0.1333 | 0.6667 | -0.3558 |
| Passenger Seat Fairing | 0.0000 | 0.5535 | -0.2102 | -0.0562 | -0.1540 | 0.7328 | -0.3797 |

The overall trend seems as below.
- The smaller opening area
- Decreasing the drag
- Decreasing the front down force
- Increasing the rear downforce
The graphs other than the case of passenger seat fairing are expanded as below.


Each Still Images






The high pressure in front of the windshield at the front of the cockpit opening and in the front of the headrest at the rear of the cockpit seems to increase the front downforce.

Each Still Images






The flow disturbed by the cockpit opening is smaller, the flow around the rear wing is faster and increases the rear downforce.
- The smaller opening area
- Decreasing the drag
- Decreasing the front downforce
- Increasing the rear downforce
- The high pressure in front of the windshield at the front of the cockpit opening and in the front of the headrest at the rear of the cockpit seems to increase the front downforce.
- The flow disturbed by the cockpit opening is smaller, the flow around the rear wing is faster and increases the rear downforce.
