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山东大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (6): 47-52.

• 控制科学与工程 • 上一篇    下一篇

不规则海浪实时绘制中波浪谱的比较与选择

陈丽宁, 金一丞, 任鸿翔,尹勇   

  • 收稿日期:2013-05-20 出版日期:2013-12-20 发布日期:2013-05-20
  • 作者简介:陈丽宁(1981- ),男,哈尔滨人,博士研究生,主要研究方向为航海仿真. E-mail: lnchen1981@163.com
  • 基金资助:

    国家973重点基础研究发展规划资助项目(2009CB320805);中央高校基本科研业务费专项资金资助项目(3132013302)

On comparison and selection of the wave spectrum in realtime rendering of the irregular ocean wave

CHEN Li-ning, JIN Yi-cheng, REN Hong-xiang, YIN Yong   

  1. Key Laboratory of Marine Dynamic Simulation & Control for Ministry of Communications,
    Dalian Maritime University, Dalian 116023, China
  • Received:2013-05-20 Online:2013-12-20 Published:2013-05-20

摘要:

Phillips谱在不规则海浪实时绘制中使用广泛。分析Phillips谱的结构,并计算出Phillips谱的频率谱和方向分布函数。Phillips谱的频率谱与P-M谱接近,因此参考P-M谱计算Phillips谱的常数A,并对谱风速进行说明。除了使用Phillips谱,还尝试其它形式的谱。用P-M谱和cos(-2s)形式方向分布函数构造PM-cos2s谱,用JONSWAP谱和Poisson形式方向分布函数构造J-Po谱。用上述3种谱绘制海浪,并比较绘制结果。Phillips谱和PM-cos2s谱绘制的海浪可体现风速的影响,J-Po谱绘制的海浪可以体现风速、风距的影响,3种谱绘制的帧率相同。由于J-Po谱能反映风速、风距的影响,且生成波在风向(-π,π]范围内,因此J-Po谱更适合于航海模拟器。

关键词: 方向分布函数, 风速, 海浪绘制, Phillips谱

Abstract:

The Phillips spectrum was widely applied in real-time rendering of the irregular ocean wave. The structure of the Phillips spectrum was analyzed, and the frequency spectrum and directional distribution function of the Phillips spectrum were calculated. The frequency spectrum was similar with the P-M spectrum, so the constant A of the Phillips spectrum was computed by reference to the P-M spectrum, and the spectral wind speed was clarified. In addition to the Phillips spectrum, other spectra were tried. The P-M spectrum and the directional distribution function of the cos(-2s) form were used to construct the PM-cos2s spectrum, and the JONSWAP spectrum and the direction distribution function of the Poisson form were applied for constructing the J-Po spectrum. The three spectra mentioned above were used for rendering ocean wave, and the rendering results were compared. The waves rendered by the Phillips spectrum or PM-cos2s spectrum reflected the wind speed effect, and the wave generated by the J-Po spectrum showed the wind speed effect along with the fetch length effect. The frame rate of the three spectra shared the same value. Because the wave produced by the J-Po spectrum reflected the wind speed and fetch length influence, and the generated wave distributed in (-π,π] of the wind direction, the J-Po spectrum was more suitable for the maritime simulator.

Key words: ocean wave rendering, Phillips spectrum, directional distribution function, wind speed

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