What is fluid dynamics simulation?

A fluid dynamics simulation models the behaviour of liquids and gases in real-time, allowing you to experiment with properties like viscosity, diffusion, and flow. This interactive simulation uses a grid-based solver to approximate real fluid physics in your browser.

What are the Navier-Stokes equations?

The Navier-Stokes equations are a set of partial differential equations that describe the motion of viscous fluid substances. They account for conservation of momentum, mass, and energy in a fluid and form the mathematical foundation for fluid dynamics simulations.

What is viscosity in fluid dynamics?

Viscosity is a measure of a fluid's resistance to flow. High viscosity fluids like honey flow slowly and resist deformation, while low viscosity fluids like water flow easily. In this simulation, you can adjust viscosity to see how it affects fluid behaviour in real-time.

Why is fluid dynamics a Millennium Prize Problem?

The Navier-Stokes existence and smoothness problem is one of the seven Millennium Prize Problems, with a $1 million reward for its solution. Mathematicians have not yet proven whether smooth solutions always exist in three dimensions or whether singularities can form from smooth initial conditions.

Home▸Fluid Dynamics & Aerodynamics▸Fluid Dynamics Simulator - Interactive Navier-Stokes Equations and Turbulence

🧪 Fluid Dynamics Simulator - Interactive Navier-Stokes Equations and Turbulence

Real-time 2D fluid dynamics simulation based on the Navier-Stokes equations. Control viscosity, add dye, and observe laminar flow, turbulence, vortices, and Reynolds number effects - perfect for A-level and university physics.

Fluid Dynamics & Aerodynamics2DModerate60 FPS

⚙ Under the hood

This simulation demonstrates the fundamental principles of fluid dynamics by allowing users to interact with the Navier-Stokes equations. It explores concepts like turbulence and how fluids respond to forces.

Navier-StokesTurbulenceFluid Dynamics

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install