sandbox/geoffroy/sourceterm/README
Source term for Saint-Venant equations
The Saint-Venant equations, also known as shallow water equations, are describing flow with much larger horizontal lenght-scale than the vertical lenght-scale. These equations can be written as :
\displaystyle \begin{array}{cc} \partial_t h + \partial_x q = S_h^i \\ \partial_t q + \partial_x \left(\frac{q^2}{h}+ \frac{1}{2} g h^2 \right) = -gh S_0 + S_q^i \end{array}
where S_h^i and S_q^i are the different source terms.
For example, in S_h^i we can put a rain source (or any mass source) term and we usually put the friction in the term S_q^i (or any momentum source).
The mass source terms
- rain
- infiltration (coming soon)
The momentum source terms
Note
These source terms are especially designed to be used with the predictor-corrector-source.h You can use it by downloading it and replacing it in “saint-venant.h”
