Numerical investigation of the solitary wave breaking over a slope by using the finite particle method

Numerical investigation of the solitary wave breaking over a slope by using the finite particle method
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孤立波突破斜坡的有限粒子法数值研究

DOI:
10.1016/j.coastaleng.2019.103617
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发表时间:
2020-03
影响因子:
4.4
通讯作者:
Liu Moubin
Liu Moubin
中科院分区:
工程技术1区
文献类型:
--
作者:
He Fang;Zhang Huashan;Huang Can;Liu Moubin

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孤立波传播和变形的预测在海岸工程中具有重要意义。本文采用一种增强的光滑粒子流体动力学(SPH)有限粒子法(FPM)对孤立波在斜坡上的破碎过程进行了数值模拟。本文首先对SPH和FPM模拟孤立波进行了比较研究,定性和定量地证明了FPM的性能优于SPH。一个改进的粒子移动技术(PST)被集成到FPM,以避免可能的病态校正矩阵,由于极端无序的粒子分布。我们发现,人工粘性系数可以很大地影响波浪爬高,并提出了一个经验公式,以快速确定用于FPM模拟的人工粘性系数的最佳值。在此基础上,建立了具有相对波高和波坡的孤立波破碎模型,分析了涌浪破碎、倾翻破碎和溢流破碎3种典型破碎类型。结果表明,SP对压力场的影响比PL和SU更广泛。当破波类型由SP向SU过渡时,破碎波倾向于在靠近岸线的较窄区域破碎,破碎深度减小,破碎指数逐渐变为不稳定值,破碎波的相对爬高变大。破碎波高与破碎类型关系不大,但破碎波高随相对波高的增大而增大,随坡度的增大而略有减小。
Predicting the propagation and transformation of the solitary wave is very important in coastal engineering. This paper presents a numerical investigation of the solitary wave breaking over a slope by using a finite particle method (FPM), which is an enhanced smoothed particle hydrodynamics (SPH). We firstly conduct a comparative study on SPH and FPM in modelling solitary wave and it is demonstrated that FPM performs better than SPH qualitatively and quantitatively. A modified particle shifting technique (PST) is integrated into FPM to avoid possible ill corrective matrix due to extremely disordered particle distribution. We find that the artificial viscous coefficient can greatly influence the wave run-up and propose an empirical equation to quickly determine the optimal value of the artificial viscous coefficient used in the FPM simulations. The solitary wave breaking is then modelled for scenarios with relative wave heights and slopes, and three typical breaking types, including surging breaker (SU), plunging breaker (PL) and spilling breaker (SP), are analyzed. The result indicates that SP affects the pressure field more extensive than PL and SU. When the breaker type transits from SP to SU, the breaker tends to break at a narrower region close to the shoreline, the breaking depth decreases, the breaking index gradually turns into an unstable value, and the relative run-up height of breaking waves becomes larger. Although the wave celerity at breaking has no clear relationship with breaker types, the wave celerity at breaking increases with the increase of the relative wave height and slightly decreases with a steeper slope.
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