Physics — Navier-Stokes Equations

\rho\left(\frac{\partial \mathbf{v}}{\partial t} + \mathbf{v}\cdot\nabla\mathbf{v}\right) = -\nabla p + \mu\nabla^2\mathbf{v} + \mathbf{f}

\nabla\cdot\mathbf{v} = 0 \quad (\text{incompressible})

\mathrm{Re} = \frac{\rho v L}{\mu}