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chapter nine
Pollutant transport
In this chapter, one- and two-dimensional shallow water ows with pol-
lutant transport are considered. The governing equations and their char-
acteristics are discussed. The details of the discontinuous Galerkin (DG)
formulation are presented. Finally, several tests are conducted to show the
applicability of the numerical model.
9.1 Pollutant transport in 1D
In this section, a numerical model for shallow water ows with pol-
lutant transport in a rectangular channel is presented. The governing
equations, DG formulation, numerical ux, initial and boundary condi-
tions, and point source treatment are outlined in ...