• 作者： 黃明志; Robert T. Hudspeth
• 作者服務機構： 國立成功大學造船及船舶機械系; 美國奧立岡州立大學土木系海洋工程組
• 中文摘要： 本文探討二度空間穩態水波的二種流線函數解法，即比較Dalrymple與Chaplin二種不同的數值解法。利用Dalrym-ple方法，經仔細的分析接近碎波時的數值解，本文得知彼速並不與波的陡度成正比增加。比較此二種數值方法，亦得知（1）Dalrymple方法在接近碎波時的解較為正確，（2）Dalrymple方法所探用之自由水面誤差收斂法比Chaplin方法所採用之有效數字收斂法更能一致的代表穩態水波的流線函數解。
• 英文摘要： Two stream function solutions for steady two-dimensional water waves are reviewed. The algorithmdeveloped by Dalrymple [4] is compared with the algorithm developed by Chaplin [2]. By examiningmore closely the near-breaking wave conditions using the Dalrymple algorithm, it is shown that celeritydoes not increase monotonically with increasing wave steepness. Numerical comparisons between the twoalgorithms indicate that the Dalrymple algorithm is more accurate in the near-breaking wave conditions andrequires less computer programming effort. Numerical comparisons of the Dalrymple free surface error convergence criteria with the Chaplinsignificant figures convergence criteria indicate that the free surface error convergence criterion is moreconsistent for stream function representations.
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