When a fluid is in motion, it must move in such a way that mass is conserved. To see how mass conservation places restrictions on the velocity field, consider the steady flow of fluid through a duct ...

Drew, an oceanography graduate student, writes: “This, on my leg, is the incompressible form of the conservation of mass equation in a fluid, also known as the continuity equation. When people ask ...

Standard time-marching compressible flow solvers used extensively in the aerospace industry cannot be applied incompressible flows, as the governing equations lack a time derivative in the continuity ...

Finite Element Methods (FEM) have emerged as a pivotal computational tool in the simulation of incompressible flows and the Navier-Stokes equations. By discretising the domain, these techniques offer ...

We continue our exploration of fluids and fluid dynamics. We continue our exploration of fluids and fluid dynamics. How do fluids act when they're in motion? How does pressure in different places ...

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 ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...