Abstract Runup on a slender cylindrical column exposed to long, steep waves, at finite and great depth is quantified by high speed camera technique in wave channel. Ratio between water depth (h) and cylinder diameter (D) is h / D = 10,4.16 and 2.5. Breaking and non-breaking wave events are made by focusing technique. The trough-to-trough period ( T T T ), crest height ( η 0 . m ), frequency ( ω = 2 π / T T T ) and reference speed ( g / ω ) of each wave event are defined (g denotes acceleration of gravity). Wavenumber (k) is obtained from the dispersion relation. Experimental runup maximum ( R u m ) is presented in terms of variable Z = [ 2 ω 2 ( R u m − η 0 , m ) / g ] 1 / 2 . Measurements at finite water depth collapse along a linear relationship k η 0 , m = a + b Z where coefficients are obtained from the experiments. Results from other studies including large scale measurements fit to this curve, for h / D 5 , k h 2 and k D 0.52 . Results at great water depth with h / D = 10 show, beyond a threshold wave slope, a similar relationship. Growth factor ( 1 / b ) is then much stronger. Gradual transition between results at finite depth and great water depth occurs for 5 h / D 10 and k h > 2.5 . Measured runup velocity along the column is up to 1.8 times the reference speed at great depth ( h / D = 10 ) and up to 1.2 times the reference speed at finite depth. Wave slope k η 0 , m is up to 0.56.

中文翻译：

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在强水波事件中垂直柱上的助跑

摘要 暴露于长而陡波、在有限和大深度下的细长圆柱上的爬升是通过波道中的高速相机技术量化的。水深 (h) 与圆柱体直径 (D) 之比为 h / D = 10、4.16 和 2.5。通过聚焦技术产生破碎和非破碎波事件。定义了每个波事件的波谷到波谷周期 ( TTT )、波峰高度 ( η 0 . m )、频率 ( ω = 2 π / TTT ) 和参考速度 ( g / ω )（g 表示重力加速度） . 波数 (k) 是从色散关系中获得的。实验加速最大值 (R um ) 表示为变量 Z = [ 2 ω 2 ( R um − η 0 , m ) / g ] 1 / 2 。有限水深下的测量值沿线性关系 k η 0 , m = a + b Z 坍塌，其中系数是从实验中获得的。包括大规模测量在内的其他研究的结果适合该曲线，h / D 5 、kh 2 和 k D 0.52 。在 h / D = 10 的大水深处的结果表明，超过阈值波浪斜率，类似的关系。生长因子 ( 1 / b ) 那么强得多。有限深度处的结果和大水深处的结果之间逐渐过渡 5 h / D 10 并且 kh > 2.5 。在大深度 (h / D = 10) 下，沿柱测得的爬升速度高达参考速度的 1.8 倍，在有限深度时高达参考速度的 1.2 倍。波斜率k η 0 , m 高达0.56。有限深度处的结果和大水深处的结果之间逐渐过渡 5 h / D 10 并且 kh > 2.5 。在大深度 (h / D = 10) 下，沿柱测得的爬升速度高达参考速度的 1.8 倍，在有限深度时高达参考速度的 1.2 倍。波斜率k η 0 , m 高达0.56。有限深度处的结果和大水深处的结果之间逐渐过渡 5 h / D 10 并且 kh > 2.5 。在大深度 (h / D = 10) 下，沿柱测得的爬升速度高达参考速度的 1.8 倍，在有限深度时高达参考速度的 1.2 倍。波斜率k η 0 , m 高达0.56。