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A 2D numerical hydrodynamics approach is considered for modelling recentexperimental results on the oscillation and collective behavior of convectiveflows. Our simulations consider the rising dynamics of heated fluid columns ina gravitational field. Simulations are done on two entirely differentlength-scales, showing also the generality of the investigated phenomena. Forthe flow of a single heated fluid column, the effect of the inflow yield andthe nozzle diameter is studied. In agreement with the experiments, for aconstant nozzle diameter the oscillation frequency increases approximatelylinearly as a function of the the flow yield and for a constant flow yield thefrequency decreases as a power law with the increasing nozzle diameter.Concerning the collective behavior of two nearby flow we find a counter-phasesynchronization of the oscillations and an increasing trend in the commonoscillation frequency when the distance between the flows is decreased. Theseresults are again in agreement with the experimental findings.

Computational fluid dynamics approach for understanding oscillating and interacting convective flows