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

Scientific progress is not usually straightforward. Researchers pursue and abandon lines of inquiry. Results languish. Theories take decades to cohere. But sometimes the accumulation of scientific ...

If you like math, you should enjoy [kynd’s] page about simulating fluid in p5.js. You might still enjoy the pretty colors and shapes if you aren’t into math. What’s scary is that the page promises to ...

“Almost all nonlinear fluid equations are kind of derived from the Euler equations,” said Tarek Elgindi, a mathematician at Duke University. “They’re the first ones, you could say.” Yet much remains ...

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 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 ...

Computer scientists at the University of California San Diego have developed a method for generating highly realistic computer-generated images of fluid dynamics in elements such as smoke. This ...

During my undergrad I read the notes of Robert Bridsons class on Fluid Simulation and implemented the given ideas. I first implemented everything in C++ and OpenGL and later translated everything to ...

With the magnificent real images of water pouring from the sky and the after-fire fumes from a car, there is no escaping from the laws of physics in movies either! Fluid simulation in the ’50s and ...