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chapter eight
Two-dimensional shallow
water ow in channels
with bed variations
To model two-dimensional (2D) ow in channels with bed variation, the
depth and bed level variations must be accounted for. To maintain the
well balance property (that is to avoid bed level change generated ows) of
the numerical scheme, a form of the two-dimensional shallow water ow
equations that is suitable for channels with bed variations is presented.
The application of the slope limiter and ux approximation for this form
of equations is described. The resulting model is tested using laboratory
and natural channel ows.
8.1 Two-dimensional shallow water ...