刘鑫仓, 袁道伟, 王晓峰, 等. 潮流准调和分析方法探讨[J]. 海岸工程, 2023, 42(1):88-98. doi: 10.12362/j.issn.1002-3682.20220302001.
    引用本文: 刘鑫仓, 袁道伟, 王晓峰, 等. 潮流准调和分析方法探讨[J]. 海岸工程, 2023, 42(1):88-98. doi: 10.12362/j.issn.1002-3682.20220302001.
    LIU X C, YUAN D W, WANG X F, et al. Discussion on the method for tidal current quasi-harmonic analysis[J]. Coastal Engineering, 2023, 42(1):88-98. doi: 10.12362/j.issn.1002-3682.20220302001
    Citation: LIU X C, YUAN D W, WANG X F, et al. Discussion on the method for tidal current quasi-harmonic analysis[J]. Coastal Engineering, 2023, 42(1):88-98. doi: 10.12362/j.issn.1002-3682.20220302001

    潮流准调和分析方法探讨

    Discussion on the Method for Tidal Current Quasi-Harmonic Analysis

    • 摘要: 潮汐和潮流的调和分析是海洋水文资料分析的基础方法,通常采用最小二乘法处理调和分析过程产生的矛盾方程,但以往受到计算能力和程序语言的限制,导致矛盾方程的求解方法较为复杂,不利于海洋科技工作者掌握和使用。本文以短周期观测潮流数据的准调和分析方法为例,探讨了潮流准调和分析方法中矛盾方程的解法,对以往的正规方程解法进行了推导和说明,同时,提出了更为简洁的矩阵表示方法,对2种方法的优劣及特点进行了分析,认为矩阵方法更适合程序化在计算机上进行分析计算;在此基础上采用江苏大丰附近海域观测的三周日潮流数据作为实例进行计算,运用矩阵解法求出其调和常数、椭圆要素以及余流,并对同时期潮流数据进行了预报,预报结果能很好地吻合原数据。

       

      Abstract: The harmonic analysis of tides and tidal currents is a basic method for the analysis of ocean hydrological data, and the contradictory equations generated during the harmonic analysis are usually dealt with by means of the least square method. However, due to the limits of computing power and programming language in the past, the solving method of the contradictory equation was made more complicated, which is not good for marine science and technology workers to master and use. By taking the method for quasi-harmonic analysis of tidal current data observed in short period as the example, the solving method of contradiction equation generated during the tidal current quasi-harmonic analysis is discussed, the previous method for the solving of normal equation is deduced and explained and a more concise matrix representation method is put forward. The advantages, disadvantages and characteristics of the two methods are compared, finding that the matrix method is even more suitable for programmatic analysis and calculation on a computer. On this basis, the daily tidal current data of three weeks observed in the sea area near Dafeng of Jiangsu Province are taken as the example for calculation and their harmonic constant, ellipse element and residual current are obtained by using the matrix method. The tidal current data of the same period are also forecasted and the forecasted results can match well with the original data.

       

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