Mathematical model
SW2D solves the 2D shallow water equations:
where (resp.
and
) is the time (resp. space),
the gravitational acceleration,
represents the water depth,
(resp.
) the unit-discharge in the
(resp.
) direction,
(resp.
) the bottom slope in the
(resp.
) direction and
(resp.
) the friction slope in the
(resp.
) direction estimated using the classical Strickler formulation:
Numerical scheme
The shallow water equations are discretized using a finite volume approach:
The fluxes and the source terms are estimated using an explicit method. The fluxes through the interfaces are estimated using the HLL/HLLC Riemann solver.