We use the Navier-Stokes equations every day, for applications from building rockets to designing drugs. But sometimes they ...

Pressure/velocity variation Consider the steady, flow of a constant density fluid in a converging duct, without losses due to friction (figure 14). The flow therefore satisfies all the restrictions ...

This approach utilises stochastic differential equations to model the inherent variability in fluid flows, capturing effects such as turbulence, subgrid-scale interactions, and fluctuating forces ...