Deterministic simulation of multidirectional irregular waves
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摘要: 波浪波动时间过程及波列的模拟，对于开展实际波浪对于工程建筑物的作用具有重要的意义。本文采用线性叠加的单叠加模型，建立了多向不规则波浪的确定性模拟方法。基于理论模拟的规则波、单向不规则波和多向不规则波，验证了波浪确定性模拟方法的有效性。定性地对比分析了模拟波列和已知波列的一致性；定量地研究了模拟波浪在空间范围rr/Ls的误差分布情况(rr表示指定位置与给定位置的空间距离，Ls为有效波长)。并且建议，采用本文方法进行波浪确定性模拟时，最佳的浪高仪间距应小于0.12Ls。Abstract: The simulation of wave time series or wave elevation histories is of great significance for the accurate study of real wave-action on marine structures. In this paper, a method of simulating multi-directional irregular wave elevations is proposed based on a linear single-summation model. To evaluate the effectiveness of the proposed method, theoretical simulated regular waves, unidirectional and multidirectional irregular waves are deterministically simulated. The consistence between the simulated wave time series and the original ones is verified. The simulated accuracy range is further evaluated based on the quantitative error analysis along the spatial dimension represented by the ratio of rr/Ls (in which, rr denotes the separations of the two wave gauges, and Ls dotes the significant wave length). It is suggested that the optimum relative separations of the wave gauges should be less than 0.12Ls when the proposed method is used to reconstruct multidirectional irregular waves.
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图 2 2号（a）和5号（b）浪高仪在T0=250/256 s，H0=0.04 m，θ=π/6时的波浪过程线
Fig. 2 Comparison of the wave surface elevation histories for T0= 250/256 s, H0=0.04 m, θ=π/6 of No.2 (a) and No.5 (b) gauges
图 3 理论波浪频谱(Ts=1.5 s，Hs=0.04 m)
Fig. 3 Theoretical wave frequency spectrum (Ts=1.5 s，Hs=0.04 m)
图 4 R/Ls为0.06和0.12时，average-θi和max-Energy-θi的θEr沿fi的分布（Ts=1.5 s, Hs=0.04 m）
Fig. 4 Variation of the θEr for average-θi and max-Energy-θi with fi for R/Ls=0.06 and R/Ls=0.12 (Ts=1.5 s, Hs=0.04 m)
图 5 单向不规则波已知波列和模拟波列在不同rr/Ls时的对比（Ts=1.5 s，Hs=0.04 m）
Fig. 5 Comparison of the original and simulated uni-directional irregular wave surface elevation histories (Ts=1.5 s，Hs=0.04 m)
图 6 采用average-θi和max-Energy-θi模拟所得波浪的Ermax随rr/Ls的变化（Ts=1.5 s，Hs=0.04 m）
Fig. 6 Variation of Ermax for simulated waves with rr/Ls using average-θi and max-Energy-θi respectively (Ts=1.5 s, Hs=0.04 m)
图 7 R/Ls不同时，采用average-θi方法计算的θEr沿fi的分布（Ts=1.5 s，Hs=0.04 m，s=25）
Fig. 7 Variation of θEr with fi for average-θi method with different R/Ls (Ts=1.5 s, Hs=0.04 m, s=25)
图 8 rr/Ls=0.35，R/Ls不同时，3号浪高仪位置理论波列和确定性模拟波列的对比（Ts=1.5 s，Hs=0.04 m，s=25)
Fig. 8 Comparison of theoretical and simulated wave surface elevation histories for different R/Ls with rr/Ls=0.35 at No.3 gauge (Ts=1.5 s, Hs=0.04 m, s=25)
图 9 R/Ls=0.06，rr/Ls不同时，3号浪高仪位置处理论波列和确定性模拟波列的对比（Ts=1.5 s，Hs=0.04 m，s=25）
Fig. 9 Comparison of theoretical and simulated wave surface elevation histories for different rr/Ls with R/Ls=0.06 at No.3 gauge (Ts=1.5 s, Hs=0.04 m, s=25)
图 10 R/Ls=0.06时采用计算的average-θi和max-Energy-θi模拟所得波浪的Ermax随rr/Ls的变化（Ts=1.5 s, Hs=0.04 m, s=25）
Fig. 10 Variation of Ermax for simulated waves with rr/Ls using average-θi and max-Energy-θi of R/Ls=0.06 (Ts=1.5 s, Hs=0.04 m, s=25)
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