Solving Navier-Stokes on grid
"Brute force" approach
- - Rectangular grid filled with fluid
- - Use finite differences on the grid for Navier-Stokes equation
-
- \(\displaystyle \frac{\partial u}{\partial t}=-\frac{1}{\rho}\nabla \mathrm{p}+f-(u\cdot \nabla) u+\nu\triangle u\)
- \(div(u)=0\)
- (-) Stability conditions
- (-) Loose advection details on the grid