Discrete Self-Similarity in Interfacial Hydrodynamics and the Formation of Iterated Structures.
Discrete Self-Similarity in Interfacial Hydrodynamics and the Formation of Iterated Structures.
复制标题
界面流体动力学中的离散自相似性和迭代结构的形成。
DOI：
--
复制
发表时间：
2016
影响因子：
8.6
通讯作者：
S. Kalliadasis
中科院分区：
文献类型：
--
作者：
M. Dallaston;M. Fontelos;D. Tseluiko;S. Kalliadasis
迭代结构的形成，如卫星和亚卫星滴，细丝和气泡，是界面流体动力学中的一个常见特征。在这里，我们进行了计算和理论研究，他们的起源的情况下，薄膜的粘性流体，不稳定的长程分子或其他力量。我们证明，迭代结构出现的离散自相似性，其中某些模式重复自己，重新缩放，定期在对数时间尺度的后果。结果是具有相似性质的脊和细丝的无限序列。这些离散的自相似的解决方案作为一个霍普夫分叉的结果，从通常的自相似解决方案的字符也被描述。
The formation of iterated structures, such as satellite and subsatellite drops, filaments, and bubbles, is a common feature in interfacial hydrodynamics. Here we undertake a computational and theoretical study of their origin in the case of thin films of viscous fluids that are destabilized by long-range molecular or other forces. We demonstrate that iterated structures appear as a consequence of discrete self-similarity, where certain patterns repeat themselves, subject to rescaling, periodically in a logarithmic time scale. The result is an infinite sequence of ridges and filaments with similarity properties. The character of these discretely self-similar solutions as the result of a Hopf bifurcation from ordinarily self-similar solutions is also described.
影响因子：
1.2
作者：
D. Tseluiko;J. Baxter;U. Thiele
通讯作者：
D. Tseluiko;J. Baxter;U. Thiele