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首页> 外文期刊>Journal of ocean engineering and marine energy >Characterisation of waves via the Lax–Wendroff method
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Characterisation of waves via the Lax–Wendroff method

机译：通过Lax-Wendroff描述波的方法

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Abstract In recent years, the problem of rogue waves has been a topical issue among oceanographers because of their dangerous and unpredictable properties, leading to safety demands for ships and offshore platforms. Even with efforts to physically quantify the mechanism of rogue wave generation within the last two decades, rogue wave events are still unpredictable, as the rogue wave mechanism has not yet been fully explained, both mathematically and physically. This study investigates whether a Lax–Wendroff method-based algorithm with the wave action equation can characterise a 2-dimensional regular wave group over deep water. The Lax–Wendroff method up to a second-order approximation was applied to the wave action equation and the formulated algorithm was validated by means of experimental data, which consisted of a measured local regular wave group (wave frequency: 1.6 Hz, wave amplitude: 0.54 cm). The model consists of a computational algorithm which can describe a spatial evolution of wave frequencies (radian frequencies) and envelopes in the time domain with second-order accuracy, when the initial values at the first position are provided. As a result, the Lax–Wendroff method-based algorithm characterised an evolution of the regular wave group up to 4.5 m, implying that the Lax–Wendroff method-based algorithm could be a promising mathematical formulation in the understanding and characterisation of rogue wave formation, providing a further insight into a linear focusing mechanism. In the future, the results of this study will be extended to investigate the validity of the Lax–Wendroff method-based algorithm in finite water depth.
机译：摘要近年来,流氓的问题波是一个局部问题因为他们的危险和海洋学家不可预测的特性,导致安全要求船舶和海上平台。与身体量化机制的努力在最后两个流氓波生成几十年,仍然是流氓波事件不可预测的,因为流氓波机制没有完全解释说,数学和身体。与波Lax-Wendroff基于方法的算法动作方程可以描述二维规则波在深水集团。Lax-Wendroff方法二阶近似是应用于波浪作用方程和算法制定通过实验数据验证,由一个测量本地规则波组(波频率:1.6赫兹波幅度:0.54厘米)。进化算法可以描述一个空间波的频率(弧度频率)和信封在时域内的二阶精度,当初始值在第一提供位置。Lax-Wendroff基于方法的算法特点的进化规则波组4.5米,这意味着Lax-Wendroff基于方法可能是一个有前途的数学算法理解和配方流氓波形成的描述,提供一个进一步了解线性主要机制。本研究将探讨扩展Lax-Wendroff基于方法的有效性算法在有限水深。

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