高低潮位扩展至逐时潮位的插值方法比较
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摘要
对我国近岸不同潮汐类型的高、低潮潮位数据,采用线性插值、Hermit插值、三次样条插值和三角函数插值等4种插值方法扩展到逐时数据,以潮汐表逐时数据做验证。从逐时数据误差分析、调和参数分析和工程水位(包括设计水位和乘潮水位)等角度对比各种插值方法的误差。结果表明,对于逐时数据误差,在北部湾的全日潮海区,各方法的误差均较大,而在其他海域Hermit插值方法最优,三角函数插值方法略差;对于调和参数和工程水位,Hermit插值和三角函数插值优于其他方法。
We apply four interpolation methods including linear interpolation, Hermit interpolation, cubic spline interpolation and trigonometric function interpolation to extend the high and low tide data of different tidal types in Chinese coast to hourly data,verify them by the hourly data of the tidal tables,and compare the errors of results of different interpolation methods from the perspectives of hourly data error analysis, harmonic parameter analysis and project tidal levels( including design water levels and tide riding water levels).The results show that for the error of hourly data,all the four methods results have a relative big error in the diurnal tide sea area of Beibu Gulf,but for other stations, the Hermit interpolation method is the best, followed by the trigonometric function interpolation method.For harmonic parameter and project tidal levels,the Hermit interpolation and trigonometric are better than other methods.
We apply four interpolation methods including linear interpolation, Hermit interpolation, cubic spline interpolation and trigonometric function interpolation to extend the high and low tide data of different tidal types in Chinese coast to hourly data,verify them by the hourly data of the tidal tables,and compare the errors of results of different interpolation methods from the perspectives of hourly data error analysis, harmonic parameter analysis and project tidal levels( including design water levels and tide riding water levels).The results show that for the error of hourly data,all the four methods results have a relative big error in the diurnal tide sea area of Beibu Gulf,but for other stations, the Hermit interpolation method is the best, followed by the trigonometric function interpolation method.For harmonic parameter and project tidal levels,the Hermit interpolation and trigonometric are better than other methods.
引文
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[4]刘田甲.潮汐数据插值方法研究[D].南京:南京师范大学,2017.
[5]王莹辉.高低潮数据的潮汐分析及预报方法研究[D].南京:河海大学,2008.
[6]王如云,占飞,周钧,等.基于高低潮的优化保形调和分析模型(OCTHM)及算法[J].水运工程,2014(8):15-19.
[7]国家海洋信息中心.潮汐表2018(1~3册)[M].北京:海洋出版社,2017.
[8]吴俊彦.中国沿海潮汐类型分布特点[C]中国测绘学会.中国测绘学会九届四次理事会暨2008年学术年会论文集.北京:[出版者不详],2008:194-199.
[9]曾绍标,熊洪允,毛云英.应用数学基础[M].天津:天津大学出版社,2004.