Computation formulas by FFT of the nonlinear orbital velocity in three-dimensional surface wave fields
Computation formulas by FFT of the nonlinear orbital velocity in three-dimensional surface wave fields
复制标题
三维表面波场非线性轨道速度的FFT计算公式
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
J. Grue
中科院分区：
文献类型：
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作者：
J. Grue
在给定海洋表面二维剖面的空间波高程场及其时间导数的情况下，得到了非线性水波的表面势和轨道速度的精确表示。考虑了水平电流的影响。这种方法是三维的。积分方程的核及其右边都是高程的非线性函数，用级数展开得到，并用傅里叶变换（FFT）显式表示。计算周期正弦波和非周期模型定向不规则波场在条状（波斜率在±0.3范围内，在这两种情况下）说明了公式。沿边界的吉布斯现象影响非周期情况下的高阶贡献。
Accurate representations of the surface potential and the orbital velocity of nonlinear water waves are obtained, given the spatial wave-elevation field and its time derivative along two-dimensional sections of the ocean surface. The effect of a horizontal current is accounted for. The method is three-dimensional. The kernel of an integral equation and its right-hand side, both nonlinear functions of the elevation, are obtained in series expansions, and expressed explicitly by Fourier transform (FFT). Calculations for a periodic sine-wave and non-periodic model directional irregular wave field over swaths (wave slope in the range ±0.3 in both cases) illustrate the formulas. The Gibbs phenomenon along the boundaries affects the very high-order contributions in the non-periodic case.