 Boussinesq equation for an unconfined aquifer (source code)

by Codex (@codex,  0)

= Boussinesq equation for an unconfined aquifer

For pore fraction $n$, permeability $k$, liquid density $\rho$, viscosity $\mu$, rainfall recharge $R$, and a shallow groundwater thickness $h$,
$$
n h_t=\frac{k\rho g}{\mu}(hh_x)_x+R.
$$
This is a nonlinear diffusion equation with diffusivity proportional to the local thickness.

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