Revolutionizing Formula 1 Aerodynamics: High-Order Simulations Uncover Hidden Secrets of Wheel Vortices

Sunday 06 April 2025


Researchers have made significant progress in simulating complex fluid dynamics using a technique called spectral/hp element method. This approach allows them to study the behavior of fluids around intricate shapes, such as those found in Formula One racing cars.


The team used a high-performance computer to run simulations of an Imperial Front Wing (IFW) geometry, which is derived from the front wing and endplate design of the McLaren MP4-17D race car. The IFW is a multi-element wing that operates in ground effect, generating a complex vortex system. By simulating this setup at a moderate Reynolds number, researchers can gain insights into the flow characteristics around the wing.


The simulations were run using Nektar++, an open-source framework for spectral/hp element methods. This approach combines high-order finite elements with spectral techniques to solve the incompressible Navier-Stokes equations. The results showed that the simulation was able to capture the complex vortex system generated by the IFW, including the main vortex and its interaction with the wheel.


One of the challenges faced by researchers is achieving statistical convergence in simulations with large characteristic length scales. In this case, the wheel diameter was significantly larger than the chosen length scale for the IFW geometry. To overcome this issue, the team used an under-resolved DNS/implicit LES approach, which balances computational cost with accuracy.


The results of the simulation were validated against experimental data and showed good agreement. The team was able to capture the flow characteristics around the wing, including the main vortex and its interaction with the wheel. The simulation also highlighted the importance of understanding the influence of the wheel on the overall flow field.


This research has significant implications for the development of high-performance road cars and racing vehicles. By simulating complex fluid dynamics using spectral/hp element methods, researchers can gain insights into the behavior of fluids around intricate shapes and optimize their design to improve performance.


The use of under-resolved DNS/implicit LES approaches in this study demonstrates the potential for this technique to be applied to a wide range of industrial problems. This approach allows researchers to balance computational cost with accuracy, making it an attractive option for complex simulations.


Overall, this research highlights the importance of advanced simulation techniques in understanding complex fluid dynamics and optimizing design performance. The results demonstrate the potential for spectral/hp element methods to be used in a variety of applications, from racing cars to industrial processes.


Cite this article: “Revolutionizing Formula 1 Aerodynamics: High-Order Simulations Uncover Hidden Secrets of Wheel Vortices”, The Science Archive, 2025.


Fluid Dynamics, Spectral/Hp Element Method, High-Performance Computing, Navier-Stokes Equations, Vortex System, Ground Effect, Reynolds Number, Dns/Implicit Les, Under-Resolved Simulations, Racing Cars.


Reference: Parv Khurana, Alexandra Liosi, Spencer Sherwin, Julien Hoessler, Adam Swift, Athanasios Chatzopoulos, Francesco Bottone, “Industrialisation of spectral/hp element method for incompressible, transitional flow around Formula 1 geometries” (2025).


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