The Navier-Stokes equations capture in a few succinct terms one of the most ubiquitous features of the physical world: the flow of fluids. The equations, which date to the 1820s, are today used to ...

You're tilting a bottle of olive oil over a pan, waiting for the last bit to slide out. Physicists at Brown University now know exactly how long you'll be standing there: over nine minutes. PhD ...

The study of free boundary problems in the Navier-Stokes equations addresses the subtle interplay between the dynamics of viscous, incompressible fluids and the evolution of interfaces whose locations ...

The Navier-Stokes equations represent a cornerstone of fluid dynamics, providing a mathematical framework to describe the motion of viscous fluids. These nonlinear partial differential equations ...

We present two accurate and efficient algorithms for solving a group of fluid flow problems based on the Navier-Stokes Equations (NSEs). Both methods use a time-stepping approach with the ...

But thanks to physicists at Brown University, people no longer have to guess how long it may take to finally empty that bottle of ketchup—provided you are well-versed in the right math. According to ...

Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...

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 ...

As we celebrate the International Year of Quantum Science and Technology (IYQ) in 2025, we look back on a century of quantum mechanics—a field that has fundamentally changed the way we understand ...