计算机科学 ›› 2013, Vol. 40 ›› Issue (7): 283-288.

• 图形图像与模式识别 • 上一篇    下一篇

海浪绘制中波浪谱的选择和参数计算

陈丽宁,金一丞,任鸿翔,张秀凤   

  1. 大连海事大学航海动态仿真与控制交通行业重点实验室 大连116026;大连海事大学航海动态仿真与控制交通行业重点实验室 大连116026;大连海事大学航海动态仿真与控制交通行业重点实验室 大连116026;大连海事大学航海动态仿真与控制交通行业重点实验室 大连116026
  • 出版日期:2018-11-16 发布日期:2018-11-16
  • 基金资助:
    本文受国家973重点基础研究发展规划项目基金(2009CB320805),中央高校基本科研业务费专项资金(2012TD002)资助

On Selection and Parameter Calculation of Wave Spectra in Ocean Wave Rendering

CHEN Li-ning,JIN Yi-cheng,REN Hong-xiang and ZHANG Xiu-feng   

  • Online:2018-11-16 Published:2018-11-16

摘要: 分析了Phillips波浪谱结构,指出该谱是由符合Neumann形式的频率谱和国际拖曳水池会议推荐的方向分布函数构成的方向谱,Phillips谱的频率谱与P-M谱接近。参考P-M谱提供的方法给出了Phillips谱风速的确切含义并计算出该谱的常数,解决了其在应用中未尽的问题。比较PM-ITTC方向谱和Phillips谱的绘制结果,发现用Phillips谱绘制的海浪低频长波更加突出。对Phillips谱和PM-ITTC方向谱进行比对,发现Phillips谱的谱峰频率与PM-ITTC方向谱接近,但谱宽更窄,能量更集中于低频部分。为Phillips谱增加了风距参数,使绘制结果能反映风速、风距对海浪的影响。绘制的海浪传播方向、波高随风速变化而变化,与航海实际情况相符,已应用于航海模拟器。

关键词: 海浪绘制,Phillips波浪谱,方向分布函数,风速,风距 中图法分类号TP391.9文献标识码A

Abstract: The structure of Phillips wave spectra was analyzed.Phillips spectra is directional spectra,and can be separated into the frequency spectra and directional spreading function.Its frequency spectra accords with the Neumann spectra form,and is familiar with P-M spectra.Its directional spreading function is the function recommended by International Towing Tank Conference.By referencing P-M spectra,the wind speed of Phillips spectra is specified and its constant is calculated,which solves the unsettled problems in application.By comparing the rendering results of PM-ITTC directional spectra and Phillips spectra,it is found that long waves with low frequency band are more obvious in ocean wave rendered with Phillips spectra.Additionally,the study shows the peak spectral frequency of Phillips spectra is close to that of PM-ITTC directional spectra,but its spectral width is smaller and its wave energy more concentrates in low frequency band.Fetch length is added as a parameter of Phillips spectra.So the rendering result can reflect the influence of both wind speed and fetch length on rendered ocean wave.The propagation direction and wave height of the rendered ocean wave vary as wind speed changes,which conforms to the actual condition in navigation.The method is used in navigation simulator.

Key words: Ocean wave rendering,Phillips wave spectra,Directional spreading function,Wind speed,Fetch length

[1] Mihalef V,Metaxas D,Sussman M.Animation and Control of Breaking Waves[A]∥Proceedings of the 2004ACM SINGGRAPH/Eurographics Symposium on Computer Animation,2004[C].Grenoble:ACM,2004:315-324
[2] 林建忠,阮晓东,陈邦国,等.流体力学[M].北京:清华大学出版社,2005:11-13
[3] Muller M,Solenthaler B,Keiser R,et al.Particle-based Fluid-fluid Interaction[A]∥Proceedings of EUROGRAPHICS ACM SIGGRAPH Symposium on Computer Animation,2005[C].Los Angeles:ACM,2005:237-244
[4] 延诃,王章野,廖斌斌,等.基于物理的海浪场景的真实感建模与绘制[J].计算机辅助设计与图形学学报,2008,20(9):1117-1124
[5] 陈曦,何戬,延诃,等.GPU中的流体场景实时模拟算法[J].计算机辅助设计与图形学学报,2010,22(3):396-405
[6] Fourier A.A Simple Model of Ocean Waves[A]∥Proceedings of the 13th Annual Conference on Computer Graphics and Interactive Techniques,1986[C].Dallas:ACM,1986:75-84
[7] Yuksel C.Real-time Water Waves with Wave Particle[D].Brazos County:Texas A&M University,2010
[8] 苏玉民,付金丽,王卓.基于三维随机海浪交互式仿真技术研究[J].系统仿真学报,2012,24(1):175-179
[9] Tessendorf J.Simulating Ocean Water[A]∥Computer Graphics Proceedings,Annual Conference Series,ACM SIGGRAPH,1999[C].Los Angeles:ACM,Course Notes 26,1999
[10] Michel J.Real-Time Synthesis and Rendering of Ocean Water[DB/OL].http://developer.amd.com/media/gpu_assets/Mitchell-Real-Time_Synthesis_and_Rendering_of_Ocean_Water(ATITR_Apr05).pdf,2012-09-14
[11] 任鸿翔.航海模拟器中基于GPU的海洋场景真实感绘制[D].大连:大连海事大学,2009
[12] 赵欣,裴炳南.一种快速的海浪仿真方法[J].系统仿真学报,2012,24(1):132-136
[13] Veritas D N.Standard for Certification Maritime Simulator Systems No.2.14January 2011[DB/OL]. http://exchange.dnv.com/publishing/stdcert/Standard2-14.pdf,2012-09-15
[14] Nouguier F,Guérin C,Chapron B.Choppy Wave Model for Nonlinear Gravity Waves [J].Journal of Geophysical Research,2009,114:C09012
[15] Phillips O.The Equilibrium Range in the Spectrum of Wind-ge-nerated Waves[J].Journal of Fluid Mechanics,1958,4:426-434
[16] 俞聿修.随机波浪及其工程应用[M].大连:大连理工大学出版社,1999:131-174
[17] 李积德.船舶耐波性[M].哈尔滨:哈尔滨理工大学出版社,2007:30-35
[18] Liu Da-gang,Leng Mei.Meteorology and Oceanography forMariners[M].Dalian:Dalian Maritime University Press,2011:5-7
[19] Ochi M.Ocean Waves:The Stochastic Approach[M].Cam-bridge:Cambridge University Press,1998:33-50
[20] COST 714Working Group 3.Measuring and Analyzing the Directional Spectrum of Ocean Waves[M].Brussels:EU Publications Office,2005:3-12

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