Car Drive Simulation

# Physics integration (RK4) new_state = integrate_rk4(car_state, inputs, dt) new_state = apply_collision_resolution(new_state, track) car_state = new_state

Throttle (0..1) generates engine torque ( T_e ): [ T_e = T_max \cdot \textthrottle \cdot \eta_drivetrain ] Brake input (0..1) creates braking torque ( T_b ) applied to all wheels. Net longitudinal force per wheel: [ F_x = \fracT_e \cdot \textgear_ratio - T_br_wheel ] car drive simulation

A simple 3D scene using OpenGL or Unity: This paper presents the design and implementation of

Using a simplified Pacejka “Magic Formula” for longitudinal ( F_x ) and lateral ( F_y ) forces: [ F_x = D_x \sin(C_x \arctan(B_x \cdot \lambda - E_x(B_x\lambda - \arctan(B_x\lambda)))) ] where ( \lambda ) is longitudinal slip ratio. Lateral force is analogous using slip angle ( \alpha ). user input handling

This paper presents the design and implementation of a real-time car driving simulation aimed at providing a balance between physical realism and computational efficiency. The simulation models vehicle dynamics including longitudinal acceleration, lateral steering, tire friction, and collision detection. A modular architecture separates the physics engine, user input handling, and visual rendering. The system is validated against standard maneuvers (straight-line acceleration, constant-radius turn, and emergency braking). Results demonstrate that the simulation accurately reproduces understeer, oversteer, and speed-dependent handling characteristics. Potential applications range from driver training aids to autonomous algorithm prototyping.