Free-surface flow over topography

Topic:
Surface
Play around with the sliders in the sky to change the shape of the free-surface. Changing Fr changes the speed of the river. The bottom will change automatically according to the equation in red. This is the steady forced Kortweg De-Vries equation formed from taking the 'weak' non-linear theory. The shape of the green free surface is what linear theory predicts from the shape of the bottom.