Exact solution describing a shallow water flow in an extending stripe

Details Exact solution describing a shallow water flow in an extending stripe Exact solution describing a shallow water flow in an extending stripe

2008-02-28

arxiv.org/abs/0802.4134v1

Physics

Fluid Dynamics

9 pages, 5 figures

Scientific paper

Partially invariant solution to (2+1)D shallow water equation is constructed
and investigated. The solution describes an extension of a stripe, bounded by
linear source and drain of fluid. Realizations of smooth flow and of hydraulic
jump are possible. Particle trajectories and sonic characteristics on the
obtained solution are calculated.

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