Water wave propagation and scattering over topographical bottoms.

Water wave propagation and scattering over topographical bottoms.
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DOI:
10.1103/physreve.67.036623
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发表时间:
2002-03
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
Z. Ye
Z. Ye
中科院分区:
其他
文献类型:
--
作者:
Z. Ye

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本文推导了最近用于研究周期性钻孔底部上浅水流体中的布拉格共振的公式[M.托雷斯等人,E 63,011204(2000)]。该方程也与其他现有的理论进行了比较。作为一个应用,该理论被扩展到的情况下,水波传播的列与任意阵列的圆柱形步骤。对于规则阵列,给出了计算能带结构的公式。
Here we provide a derivation of the formula recently used for investigating Bragg resonance in waves on a shallow fluid over a periodically drilled bottom [M. Torres et al., Phys. Rev. E 63, 011204 (2000)]. The equation is also compared with other existing theories. As an application, the theory is extended to the case of water waves propagating over a column with an arbitrary array of cylindrical steps. For a regular array, the formulation for computing band structures is also presented.