This present study develops a 2-D numerical
scheme to simulate the velocity and depth on the actual terrain by using
shallow water equations. The computational approach uses the HLL scheme as a
basic building block, treats the bottom slope by lateralizing the momentum
flux, then refines the scheme using the Strang splitting to deal with the
frictional source term. Besides, a decoupled algorithm is also adopted to
compute the aggradation and degradation of bed-level elevation by using the
Manning-Strickler formula and Exner’s relationship. The main purpose is to set
up the window interface of 2-D numerical model and increase the realization of
engineers on these characteristics of hydraulic treatment and maintenance.
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