Information Complexity of Laminar Chaotic Mixing Field Produced by Two Parallel, Rotating Cylinders

Information Complexity of Laminar Chaotic Mixing Field Produced by Two Parallel, Rotating Cylinders
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两个平行旋转圆柱体产生的层流混沌混合场的信息复杂性

DOI:
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发表时间:
2000
期刊:
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影响因子:
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通讯作者:
K. Kataoka
K. Kataoka
中科院分区:
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文献类型:
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作者:
T. Takigawa;N. Ohmura;Kentaro Yagyuu;K. Kataoka

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从混合场优化的角度出发,数值分析了两个平行旋转圆柱体产生的层流混沌混合场的信息复杂性。基于信息论和非线性理论,提出了一种新的复杂性估计方法。研究了由两个平行旋转的圆柱体组成的非常简单的流动系统。通过跟踪示踪剂颗粒的轨迹来构建庞加莱截面,以揭示最终的混合模式。作为颗粒分散度的空间均匀性的度量,计算了信息熵。结果表明,信息熵可以较好地评价层流混合场的混合程度。
The purpose of the present work is to numerically analyze information complexity of the laminar chaotic mixing field produced by two parallel, rotating cylinders from a viewpoint of optimization of mixing field. The new method for estimating complexity presented is based on the information theory and the nonlinear theory. A very simple flow system consisting of two parallel rotating cylinders was investigated. A Poincare section was constructed by tracing the trajectories of tracer particles in order to reveal the final mixing pattern. As a measure of spatial homogeneity of particle dispersion, information entropy was calculated. It has been found that the information entropy can suitably evaluate mixedness of laminar mixing fields.