Fluid dynamics, a cornerstone of applied mathematics and engineering, investigates the behaviour of fluids in motion. Within this broad field, active scalar equations play a pivotal role by ...

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 ...

For centuries, mathematicians have sought to understand and model the motion of fluids. The equations that describe how ripples crease the surface of a pond have also helped researchers to predict the ...

Computational fluid dynamics is an important tool to investigate fluid flow problems in industry and academia. This course can be taken without prior background in computational techniques. A ...

An in-depth understanding of the flow physics and the skills of mathematically analysing the fluid flow problems are important attributes of mechanical engineers and future scientific leaders. These ...

A 115-year effort to bridge the particle and fluid descriptions of nature has led mathematicians to an unexpected answer. In 1900, the great mathematician David Hilbert presented a list of 23 unsolved ...

You've probably heard the word "CFD" (Computational Fluid Dynamics) plenty of times when going through some technicalities inside the automotive world. In the article below, we'll try to explain how ...

Yet much remains unknown about the Euler equations—including whether they’re always an accurate model of ideal fluid flow. One of the central problems in fluid dynamics is to figure out if the ...