
64 Modeling shallow water ows using the DG method
may be missing, so boundary conditions are required for the solution of
the governing equations. The number of boundary conditions required
depends on the number of characteristics entering the domain from a
given boundary. The boundary conditions should be independent of
the governing equations and the Riemann invariants, and the boundary
conditions should be independent of each other if two conditions are
required (Cunge et al., 1980).
Following the aforementioned rules, for the solution of the 1D shal-
low water ow equations, two initial conditions are required, such as the
water depth h a ...