A Subcritical Flow Over a Stepping Bottom
Bulletin of the Malaysian Mathematical Society, Tome 28 (2005) no. 1
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A free-surface flow on a channel with step bottom is solved numerically by an integral equation method. The flow is assumed to be steady, 2 dimensional and irrotational, meanwhile the fluid is inviscid and incompressible, and the effect of gravity is not negligible. The numerical result show that solutions with a train of waves are obtained for subcritical flow, and for various height of the step. The waves are characterized as long wave with ratio amplitude to wave-length of order 10 -2 or smaller.