The Dynamics of Bubble Growth for Rayleigh Taylor Unstable Interfaces

Cover The Dynamics of Bubble Growth for Rayleigh Taylor Unstable Interfaces
The Dynamics of Bubble Growth for Rayleigh Taylor Unstable Interfaces
Carl Gardner
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For large values of A/^, a bow shock forms in the front of the bubble and a complex system of shocks -24- form in the stem of the spike The present calculations are only moderately super- sonic and so the shocks are weak. However, due to the large value of gravity and the exponential stratification of the pressure, the pressure changes very rapidly in a few mesh layers even in the absence of shock waves, so that these weak shocks are not clearly resolved in the present calculations. B. The Two ...Body Problem In Fig. 5. 13-14 we show a series of frames which give the time development of a bubble merger. The parameters for this solution are D = 2, 10 and M^ = 2 . A detailed study of the two body problem would be an interesting topic for future work, and is required to complete the determination of the parameters in the Sharp- Wheeler mode! and their dependence on the dimensionless parameters D and M- of the compressible Rayleigh-Ta\lor problem from first principles. In any case we believe that the preliminary result reported here indicates that this goal is feasible, using the front tracking method.

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