# How to make wind forecast like Predictwind.com? Which mathematical model has been used?

PredictWind.com is able to make wind forecasts on a very precise 8 km scale. For educational reasons I would need the mathematical model used or at least one very similar.

Searching on the internet I did not find much. Do you have any suggestions?

• It's going to be more than a simple equation. They've got to be using output from full weather models, which solve a complex combination of equations. The ECMWF is apparently 9 km resolution, so that would allow such a scale. Or they may use mesoscale models like the WRF or downscale larger data perhaps weighing terrain. But it'll generally be difficult to diagnose what particular methods and specific private website uses. Aug 23, 2017 at 15:31

The general equation of motion is described by the Navier-Stokes Equations, which is $$\frac{\partial \vec{u}}{\partial t}+(\vec{u} \cdot\nabla)\vec{u}=-\frac{1}{\rho}\nabla P+g\hat{k}+\nu \nabla^2\vec{u}+f\hat{k}\times\vec{u}$$ where $\vec{u}$ is the atmospheric motion vector (wind + vertical motion), $\rho$ is density, $P$ is pressure, $g$ is gravity, $f$ is the coriolis parameter, and $\nu$ is the kinematic viscosity.