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chapter ve
One-dimensional shallow water
ow in nonrectangular channels
In this chapter, the discontinuous Galerkin (DG) method is applied to
model one-dimensional shallow water ow in nonrectangular, nonpris-
matic channels. The governing equations for one-dimensional shallow
water ows in natural channels are rst discussed. Then, the discontinu-
ous Galerkin method is applied to solve these equations.
5.1 General form of the Saint Venant equations
The one-dimensional model for shallow water ows in nonrectangular
channels is based on the assumptions similar to those described for rect-
angular channels, except that the cross-sections are of ...