# 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. – JeopardyTempest Aug 23 '17 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.