牛顿-克里洛夫延续的振幅调制的旋转波在剪切环状电流的电流
Gregory M Lewis1, Jamil Jabbour1, M C Pugh2
1Faculty of Science, <a href="https://ror.org/016zre027">University of Ontario Institute of Technology</a>, 2000 Simcoe Street North, Oshawa, Ontario, Canada L1G 0C5.
Physical review. E
|August 20, 2024
概括
我们开发了一种新的牛顿-克里洛夫方法来研究电流中的流体流转. 这种方法有效地识别了液晶中的初级,二级和三级流量变化,包括复杂的分叉.
科学领域:
- 流体动力学 流体动力学
- 非线性动力学是一种非线性动力学.
- 液晶物理学 液晶物理
背景情况:
- 液晶中的电流对流表现出复杂的流转.
- 研究这些过渡对于理解非线性流体行为至关重要.
- 分析流动分支的现有方法可能是计算密集的.
研究的目的:
- 提出一种新的计算方法,用于分析剪切环状电流中的流量过渡.
- 证明该方法能够计算旋转波和振幅调节的旋转波的能力.
- 在液晶模型中识别初级,二级和三级流转.
主要方法:
- 开发了一种基于时间整合的牛顿-克里洛夫方法.
- 该方法利用了流程旋转对称性,只需要一个时段代码.
- 使用线性稳定性分析来确定过渡点.
主要成果:
- 该方法成功计算了旋转波和振幅调节的旋转波.
- 确定了从稳定流向到旋转波的初级过渡.
- 发现了向振幅调制波的二次过渡和向三频流的三级过渡.
- 还发现了一个周期翻倍的分叉和随后的过渡.
结论:
- 介绍的牛顿-克里洛夫方法对于研究电流传动中的复杂流量转换是有效的.
- 该方法适用于表现出类似非线性流体现象的系统.
- 这项工作提供了关于液晶电流的丰富动态的见解.
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