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chapter seven
Two-dimensional shallow
water ow in channels
with horizontal beds
In this chapter, the discontinuous Galerkin (DG) method is applied to
simulate the two-dimensional shallow water ows in channels with
horizontal beds. The two-dimensional shallow water ow equations are
introduced. Different treatments of numerical ux terms are discussed.
The slope limiter presented by Lai and Khan (2012), as discussed in the
previous chapter, is used for the numerical scheme. The numerical scheme
is applied to a variety of test problems, and the numerical solutions are
compared with the analytical solutions, laboratory measurements, and
el ...