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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Compressibility effects on quasistationary vortex and transient hole patterns through vortex merger
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Compressibility effects on quasistationary vortex and transient hole patterns through vortex merger

机译：通过涡旋合并的准合并对Quasistationary Vortex和瞬态孔模式的可压缩性效应

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摘要

The effect of compressibility in the process of vortex merging is discussed. In past, in the incompressible limit, it has been observed that the merging of a collection of intense point-like vortices arranged uniformly outside a circular vortex, can lead to quasistationary vortex patch and transient hole pattern inside the patch via nonlinear merger process leading to 'vortex crystals'. Weak compressibility is seen to introduce a natural acoustic scale to the problem. We find that the natural mode is independent of the number of point-like vortices and the amplitude scales linearly with compressibility. Further, it is identified that after a merger, the system exhibits oscillation at a natural frequency together with its harmonics and beats with its own harmonics. The power of the frequency is found to scale as M-2, where M is the Mach number. Also the vortex crystals formed are found to 'melt' faster as compressibility is increased from M = 0 to 0.5.
机译：讨论了在涡旋合并过程中的压缩性的影响。 在过去，在不可压缩的限制中，已经观察到，均匀布置在圆形涡旋外部布置的激烈点状涡流的合并可以通过非线性合并过程导致贴片内的Quasistationary Vortex贴片和瞬态孔图案 '漩涡晶体'。 看到弱的可压缩性被视为对问题引入自然声学比例。 我们发现自然模式与点状涡流的数量无关，并且幅度与可压缩性线性缩放。 此外，鉴定出在合并之后，该系统以自然频率呈现振荡，以及其谐波和击败其谐波。 发现频率的功率被缩放为M-2，其中M是马赫数。 由于压缩性增加，所形成的涡旋晶体被发现更快地从M = 0增加到0.5。

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