Band gaps and localization of surface water waves over large-scale sand waves with random fluctuations

Band structure and wave localization are investigated for sea surface water waves over large-scale sand wave topography. Sand wave height, sand wave width, water depth, and water width between adjacent sand waves have significant impact on band gaps. Random fluctuations of sand wave height, sand wav...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2012-06, Vol.85 (6 Pt 2), p.066319-066319, Article 066319
Main Authors: Zhang, Yu, Li, Yan, Shao, Hao, Zhong, Yaozhao, Zhang, Sai, Zhao, Zongxi
Format: Article
Language:English
Subjects:
Computer Simulation
Models, Statistical
Rheology - methods
Silicon Dioxide - chemistry
Surface Properties
Water - chemistry
Water Movements
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Summary:Band structure and wave localization are investigated for sea surface water waves over large-scale sand wave topography. Sand wave height, sand wave width, water depth, and water width between adjacent sand waves have significant impact on band gaps. Random fluctuations of sand wave height, sand wave width, and water depth induce water wave localization. However, random water width produces a perfect transmission tunnel of water waves at a certain frequency so that localization does not occur no matter how large a disorder level is applied. Together with theoretical results, the field experimental observations in the Taiwan Bank suggest band gap and wave localization as the physical mechanism of sea surface water wave propagating over natural large-scale sand waves.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.85.066319