A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

The axisymmetric Navier-Stokes equations describe the motion of incompressible fluids under the assumption of rotational symmetry around a fixed axis. This reduction in dimensional complexity retains ...

The compressible Navier-Stokes equations form the cornerstone of fluid dynamics, describing the motion of viscous compressible fluids under conservation of mass, momentum and energy. By incorporating ...

Turbulent times This visualization of fluid flow was made using laser-induced fluorescence. (Courtesy: C Fukushima and J Westerweel/Technical University of Delft/CC BY 3.0) The Navier–Stokes partial ...

Whether we are designing aircraft, modelling blood flow, studying propulsion, lubrication or the dynamics of swimming, constructing wind turbines or forecasting the weather, we need to use the ...