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Figure 5 a shows that the maximum values appear when the pulse is generated.
However, these values do not exceed 0.3, and therefore the simulation converges to
the true solution over all integration time.
In the pulse case, after the half period ended, the maximumCourant number value
is approximately 0.7 (see Fig. 5 b), and so convergence is also ensured.
5 Conclusions
In this paper we have presented numerical results of a flow in a channel connected to
an open domain. We studied some characteristics of the flow for two cases, namely,
flow generated by a pulse and a periodic driving flow with a Strouhal number S
=
0
02. In both cases we observe the formation of a spanwise vortex in front of the
dipole. The horseshoe shape occurs only for the pulse case. In the periodic forcing
case, the shape of the spanwise vortex is modified along time. The spanwise vortex
appears near the bottom and after a while it detaches and moves away. This structure
has an influence on the lift and the transport of solid particles like sand.
.
Acknowledgments Authors acknowledge DGAPA-UNAM by support under project IN116312,
“Vorticidad y ondas no lineales en fluidos”.
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