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沙地中涡状波纹的模式动力学:非线性建模与实验验证

Pattern dynamics of vortex ripples in sand: nonlinear modeling and experimental validation.

作者信息

Andersen K H, Abel M, Krug J, Ellegaard C, Søndergaard L R, Udesen J

机构信息

Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark.

出版信息

Phys Rev Lett. 2002 Jun 10;88(23):234302. doi: 10.1103/PhysRevLett.88.234302. Epub 2002 May 22.

DOI:10.1103/PhysRevLett.88.234302
PMID:12059366
Abstract

Vortex ripples in sand are studied experimentally in a one-dimensional setup with periodic boundary conditions. The nonlinear evolution, far from the onset of instability, is analyzed in the framework of a simple model developed for homogeneous patterns. The interaction function describing the mass transport between neighboring ripples is extracted from experimental runs using a recently proposed method for data analysis, and the predictions of the model are compared to the experiment. An analytic explanation of the wavelength selection mechanism in the model is provided, and the width of the stable band of ripples is measured.

摘要

在具有周期性边界条件的一维装置中对沙中的涡旋波纹进行了实验研究。在为均匀图案开发的简单模型框架内分析了远离不稳定性起始点的非线性演化。使用最近提出的数据分析方法从实验运行中提取描述相邻波纹之间质量传输的相互作用函数,并将模型的预测与实验进行比较。提供了模型中波长选择机制的解析解释,并测量了波纹稳定带的宽度。

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