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Super-resolution on unstructured coastal wave computations with graph neural networks and polynomial regressions 利用图神经网络和多项式回归对非结构化沿岸波计算进行超分辨率处理
IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-19 DOI: 10.1016/j.coastaleng.2024.104619

Accurate high-resolution wave forecasts are essential for coastal communities, but local and even coastal coverage is often still missing due to the heavy computational load of modern state-of-the-art wave models. This study presents a machine learning super-resolution approach that drastically reduces the computational effort, while keeping errors negligible for the majority of forecasting applications. The method consists of first computing a wave forecast on a coarse mesh which is then converted to a forecast of finer resolution with the help of machine learning. To demonstrate the feasibility and the potential for practical applications of this approach, we present a case study of a 44-year hindcast along the French Basque coast over an unstructured mesh. We introduce two machine learning approaches, a graph neural network and a polynomial ridge regression and compare their performances in different sea states and spatial environments. Both models exhibit very small prediction errors for the significant wave heights, with Root Mean Square Errors (RMSEs) ranging from 0.3 cm to 2 cm, depending on the study region, while being up to 80 times faster than a direct computation of a numerical wave model at the corresponding spatial resolution. To the best of our knowledge, this is the first time that a super-resolution approach is extended to unstructured meshes in the field of coastal sciences.

精确的高分辨率波浪预报对沿海社区至关重要,但由于现代最先进的波浪模型计算量大,往往仍无法覆盖当地甚至沿海地区。本研究提出了一种机器学习超分辨率方法,可大幅减少计算量,同时使误差在大多数预报应用中可以忽略不计。该方法首先在粗网格上计算波浪预报,然后在机器学习的帮助下将其转换为分辨率更高的预报。为了证明这种方法的可行性和实际应用潜力,我们介绍了一个在非结构化网格上沿法国巴斯克海岸进行 44 年后报的案例研究。我们引入了两种机器学习方法:图神经网络和多项式脊回归,并比较了它们在不同海况和空间环境下的表现。这两种模型对显著波高的预测误差都非常小,根据研究区域的不同,均方根误差(RMSE)从 0.3 厘米到 2 厘米不等,同时比直接计算相应空间分辨率的数值波浪模型快 80 倍。据我们所知,这是在沿岸科学领域首次将超分辨率方法扩展到非结构网格。
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引用次数: 0
Climate controls on longshore sediment transport and coastal morphology adjacent to engineered inlets 气候对长岸沉积物输运和工程河口附近海岸形态的影响
IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-18 DOI: 10.1016/j.coastaleng.2024.104617
Coastal jetties are commonly used throughout the world to stabilize channels and improve navigation through inlets. These engineered structures form artificial boundaries to littoral cells by reducing wave-driven longshore sediment transport across inlet entrances. Consequently, beaches adjacent to engineered inlets are subject to large gradients in longshore transport rates and are highly sensitive to changes in wave climate. Here, we quantify annual beach and nearshore sediment volume changes over a 9-yr time period along 80 km of wave-dominated coastlines in the U.S. Pacific Northwest. Beach and nearshore monitoring during the study period (2014–2023) reveal spatially coherent, multi-annual patterns of erosion and deposition on opposing sides of two engineered inlets, indicating a regional reversal of longshore-transport direction. A numerical wave model coupled with a longshore transport predictor was calibrated and validated to explore the causes for the observed spatial and temporal patterns of erosion and deposition adjacent to the inlets. The model results indicate that subtle but important changes in wave direction on seasonal to multi-annual time scales were responsible for the reversal in the net longshore sediment transport direction and opposing patterns of morphology change. Changes in longshore transport direction coincided with a reversal in the Pacific Decadal Oscillation (PDO) climate index, suggesting large-scale, multi-decadal climate variability may influence patterns of waves and sediment dynamics at other sites throughout the Pacific basin.
海岸防波堤在世界各地被普遍用于稳定航道和改善入海口的航运状况。这些工程结构通过减少海湾入口处由波浪驱动的沿岸沉积物迁移,为沿岸单元形成人工边界。因此,工程河口附近的海滩会受到长岸迁移率巨大梯度的影响,并对波浪气候的变化高度敏感。在此,我们对美国西北太平洋地区 80 公里以波浪为主的海岸线上 9 年间每年海滩和近岸沉积物量的变化进行了量化。研究期间(2014-2023 年)的海滩和近岸监测显示,两个工程入海口对立两侧的侵蚀和沉积在空间上具有连贯性和多年度模式,表明长岸运输方向发生了区域性逆转。对一个波浪数值模型和一个长岸传输预测器进行了校准和验证,以探索在水口附近观测到的侵蚀和沉积的时空模式的原因。模型结果表明,在季节到多年时间尺度上,波浪方向发生了微妙但重要的变化,是造成净长岸沉积物输运方向逆转和形态变化相反模式的原因。长岸输运方向的变化与太平洋十年涛动(PDO)气候指数的逆转相吻合,表明大尺度、多年气候变异可能会影响整个太平洋盆地其他地点的波浪和沉积物动力学模式。
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引用次数: 0
Reconstruction of significant wave height distribution from sparse buoy data by using deep learning 利用深度学习从稀疏浮标数据中重建重要波高分布
IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-13 DOI: 10.1016/j.coastaleng.2024.104616
Significant wave height plays a crucial role in influencing marine ecosystems, ocean shipping, and other maritime activities. The distribution of buoy observation data tends to be sparse. Gridded wave data obtained through numerical simulation typically offer broader applicability, albeit with higher computational demands. In this paper, a deep learning model based on Full Connected and Convolutional Neural Networks is proposed, utilizing sparse buoy observation data as input to reconstruct the distribution of significant wave height in the sea area. The model reconstruction results are validated using ERA5 data, demonstrating excellent performance. Additionally, we explore the influence of the model's spatial boundaries and the number of input buoys on reconstruction accuracy, as well as the adaptability of the model to different sea areas. This study provides a novel method and approach for the rapid and cost-effective retrieval of regional significant wave height.
巨浪高度在影响海洋生态系统、海洋航运和其他海事活动方面起着至关重要的作用。浮标观测数据的分布往往比较稀疏。通过数值模拟获得的网格波浪数据通常具有更广泛的适用性,尽管对计算要求更高。本文提出了一种基于全连接和卷积神经网络的深度学习模型,利用稀疏的浮标观测数据作为输入,重建海域的显著波高分布。利用 ERA5 数据对模型重建结果进行了验证,结果表明该模型性能卓越。此外,我们还探讨了模型的空间边界和输入浮标数量对重建精度的影响,以及模型对不同海域的适应性。这项研究为快速、经济地检索区域显著波高提供了一种新的方法和途径。
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引用次数: 0
The sum of the parts: Green, gray, and green-gray infrastructure to mitigate wave overtopping 各部分的总和:绿色、灰色和绿灰色基础设施,以减轻波浪倾覆
IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-12 DOI: 10.1016/j.coastaleng.2024.104615

Hybrid approaches to shoreline protection, where natural (“green”) features are combined with hardened (“gray”) infrastructure, are increasingly used to protect coastlines from erosion and flood-based hazards. Our understanding of hybrid systems is limited, and it is unknown whether the components of these systems interact in any meaningful sense to provide flood reduction benefits that are greater or less than “the sum of the parts.” In this study, a large-scale physical model was used to investigate the overtopping of a vertical wall protected by a hybrid system where an idealized Rhizophora mangrove forest of moderate cross-shore width fronted a rubble-mound revetment. Configurations included the wall alone, the wall with a low- or intermediate-density mangrove forest without the revetment, the wall with the revetment, and the wall with an intermediate- or high-density mangrove forest and the revetment. The study isolated the reduction in overtopping of the wall by the revetment component, the mangrove forest component, and the interaction between the components of the hybrid system. The total reduction by the hybrid system was estimated within 5% accuracy as the sum of the reduction by each component minus the product of the component reductions. Comparison of the proportional reduction in overtopping by the mangrove forest on the wall alone and the wall with the revetment indicated that the mangrove forest reduced the overtopping of the revetment by approximately the same proportion that the forest reduced the overtopping of the wall. Therefore, (1) total overtopping reduction by the hybrid system was modeled as the reduction expected from the green and gray components in series. Additional analysis showed that (2) for the same wave conditions, a mangrove forest of moderate cross-shore width can have equal or greater protective benefits than a coastal revetment, (3) there is an exponential relationship between the discharge rate and the forest density, and (4) the mangrove forest, the revetment, and the hybrid system all provided greater reduction in overtopping as wave steepness increased. The tests in this study were conducted without wave breaking, with constant freeboard and water depth, with a specific revetment geometry, and without a mangrove canopy. Therefore, these results should be interpreted with caution if used for engineering design.

海岸线保护的混合方法,即自然("绿色")特征与硬化("灰色")基础设施相结合,越来越多地用于保护海岸线免受侵蚀和洪水灾害。我们对混合系统的了解还很有限,也不知道这些系统的各组成部分是否在任何意义上相互作用,以提供大于或小于 "各部分之和 "的减洪效益。在这项研究中,我们使用了一个大型物理模型来研究由混合系统保护的垂直墙的倾覆问题,在这个混合系统中,理想化的红树林具有适度的跨岸宽度,其前面是一个碎石堆护岸。配置包括单独的墙体、带有低密度或中密度红树林但不带护岸的墙体、带有护岸的墙体以及带有中密度或高密度红树林和护岸的墙体。该研究将护岸部分、红树林部分以及混合系统各部分之间的相互作用隔离开来,以减少围墙的倾覆。混合系统减少的倾覆总量的估算精确度在 5%以内,即各部分减少的倾覆总量之和减去各部分减少的倾覆总量的乘积。比较红树林对单独围墙和围墙与护岸的倾覆减少比例表明,红树林对护岸倾覆的减少比例与红树林对围墙倾覆的减少比例大致相同。因此,(1) 混合系统减少的总倾覆量被模拟为绿色和灰色部分串联预期减少的倾覆量。其他分析表明:(2) 在相同的波浪条件下,中等跨岸宽度的红树林比海岸护岸具有相同或更大的保护效益;(3) 排水量与森林密度之间存在指数关系;(4) 随着波浪陡度的增加,红树林、护岸和混合系统都能更大程度地减少倾覆。本研究中的测试是在没有破浪、自由板和水深不变、特定护岸几何形状以及没有红树林冠层的情况下进行的。因此,如果将这些结果用于工程设计,应谨慎解释。
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引用次数: 0
Experimental and numerical investigation of a land-fixed breakwater-type wave energy converter: An OWC device and a porous plate 陆地固定防波堤型波浪能转换器的实验和数值研究:OWC 设备和多孔板
IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-09-06 DOI: 10.1016/j.coastaleng.2024.104614

To further promote the commercialization of oscillating water column (OWC) devices and expand their application to coastal protection, it is crucial to enhance their survivability as much as possible while improving the wave energy conversion efficiency. In the present study, the hydrodynamic performance of a land-fixed, breakwater-type wave energy converter combining an OWC device and a porous plate was investigated. A series of physical experiments and numerical simulations were conducted to systematically verify each other and select the proper porosity of the porous plate and the gap spacing. On this basis, the effects of wave nonlinearity on hydrodynamic efficiency and wave-induced forces were comprehensively evaluated. The results indicate that under high frequency wave conditions, the porous plate can significantly reduce horizontal forces on the front wall with limited efficiency reduction. This phenomenon is more pronounced under the strong wave nonlinearity. The maximum reduction in horizontal force can reach 52%. At low wave frequencies, the effect of the porous plate is limited as the horizontal forces on the front wall are similar to those without the porous plate. The energy conversion efficiency increases in low frequency wave conditions because the porous plate assists first-order wave energy to enter the chamber by reducing the transfer of wave energy to high-order waves. In addition, due to the dissipation of wave energy by the porous plate, the wave reflection coefficient decreases and the wave dissipation coefficient increases in all cases.

为了进一步推动振荡水柱(OWC)装置的商业化并扩大其在海岸保护方面的应用,在提高波浪能转换效率的同时尽可能增强其生存能力至关重要。本研究考察了陆地固定式防波堤型波浪能转换器的水动力性能,该转换器结合了 OWC 装置和多孔板。通过一系列物理实验和数值模拟,系统地进行了相互验证,并选择了多孔板的适当孔隙率和间隙间距。在此基础上,全面评估了波浪非线性对流体力学效率和波浪诱导力的影响。结果表明,在高频波浪条件下,多孔板可显著降低前壁的水平力,但效率降低有限。在波浪非线性较强的情况下,这种现象更为明显。水平力的最大减幅可达 52%。在低波频率下,多孔板的作用有限,因为前壁受到的水平力与没有多孔板时相似。在低频波条件下,能量转换效率会提高,这是因为多孔板通过减少波能向高频波的传递,帮助一阶波能进入腔体。此外,由于多孔板对波能的耗散,在所有情况下,波反射系数都会降低,而波耗散系数则会升高。
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引用次数: 0
Probabilistic characterizations of flood hazards in deltas: Application to Hoek van Holland (Netherlands) 三角洲洪水灾害的概率特征:Hoek van Holland(荷兰)的应用
IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-08-31 DOI: 10.1016/j.coastaleng.2024.104603

Coastal flooding events pose a critical risk in delta areas, since they are characterized by population growth and urban expansion. A better understanding of Extreme Water Levels (EWLs), the mechanisms generating them, and their components, i.e., astronomical tide and storm surge is of great importance as they drive the maintenance and design of flood protection systems. Therefore, a statistical investigation of them can provide new insights for more reliable flood risk mitigation infrastructures. In this study, we analyse these components and compare different probabilistic methods i.e., univariate extreme value analysis, copula functions, and Joint Probability Method (JPM) for the better estimation of EWLs. We use Hoek van Holland (NL) as a representative case study, since the dynamic conditions of this deltaic environment with man-made infrastructures render the area of strategic importance. The results indicate that a more accurate estimate of the declustering time between extreme events can be achieved using correlation of high surges and high wind speeds, taking into consideration also the wind direction. In the Southwest Delta this time estimated to be around 4 days. Furthermore, the EWLs components, i.e., surge and astronomical tide, show negative dependence. From the comparison between statistical approaches to model EWLs, results show that EWLs estimated via EVA and JPM do not vary significantly, while copulas’ seems to outperform the other methods. However, the selection of the proper copula to show the dependence is critical. As a conclusion, the analysis of the dependence between tides and storm surges can lead to more robust inferences of EWLs.

由于人口增长和城市扩张,沿海洪水事件给三角洲地区带来了严重风险。更好地了解极端水位 (EWL)、产生极端水位的机制及其组成部分,即天文潮汐和风暴潮,对防洪系统的维护和设计具有重要意义。因此,对它们进行统计调查可为建立更可靠的洪水风险缓解基础设施提供新的见解。在本研究中,我们分析了这些组成部分,并比较了不同的概率方法,即单变量极值分析、共轭函数和联合概率法 (JPM),以更好地估计 EWL。我们使用 Hoek van Holland(荷兰)作为代表性案例研究,因为该三角洲环境的动态条件和人造基础设施使该地区具有重要的战略意义。研究结果表明,利用高浪涌和高风速之间的相关性,同时考虑风向,可以更准确地估算出极端事件之间的解聚时间。在西南三角洲,这个时间估计为 4 天左右。此外,EWLs 的组成部分,即浪涌和天文潮汐,显示出负相关关系。通过比较建立 EWLs 模型的统计方法,结果表明通过 EVA 和 JPM 估算的 EWLs 差异不大,而 copulas 似乎优于其他方法。然而,选择适当的 copula 来显示依赖性是至关重要的。总之,分析潮汐与风暴潮之间的依存关系可以使 EWL 的推断更加可靠。
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引用次数: 0
Evaluations of storm tide hazard along the coast of China using synthetic dynamic tropical cyclone events 利用合成动态热带气旋事件评估中国沿海风暴潮灾害
IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-08-30 DOI: 10.1016/j.coastaleng.2024.104604

Concurring with high astronomical tides, storm surges have caused devastating damage in low-lying areas along the Chinese coastal regions. However, accurately calculating tropical cyclone (TC) storm tide hazards, especially those with long return periods, has proven challenging due to limited temporal and spatial information on TCs. In this study, we adopt the Synthetic Dynamic TC Method (SDTM), which enables a more robust estimation of storm tide hazards by generating a large number of synthetic TCs based on historical best track data and ocean-atmosphere environmental data. Within the SDTM framework, synthetic TCs corresponding to 10,000 years are validated using several statistical metrics, and the associated storm tides are simulated. For comparison, we employ the Historical Storm Method (HSM) to simulate storm tides for historical TCs from 1950 to 2019. Storm tide hazard curves are calculated and compared using these two methods. Our results demonstrate that the SDTM can robustly estimate storm tide hazards for both short and long return periods, whereas the HSM performs well for short return periods but struggles to reliably assess storm tide hazards for long return periods. Notably, within the SDTM, storm tide height exhibits nonlinear growth with increasing return periods in the Gumbel plot, a phenomenon not observed in the HSM due to the limited time span of TC records. With sufficient TC data, the spatial storm tide hazard maps obtained from the SDTM can serve as a robust foundation for developing disaster prevention and mitigation policies.

随着天文大潮的到来,风暴潮对中国沿海低洼地区造成了毁灭性的破坏。然而,由于热带气旋的时空信息有限,准确计算热带气旋风暴潮的危害,尤其是重现期较长的热带气旋风暴潮的危害,已被证明具有挑战性。在本研究中,我们采用了合成动态热带气旋法(Synthetic Dynamic TC Method,SDTM),该方法根据历史最佳路径数据和海洋大气环境数据生成大量合成热带气旋,从而能够更稳健地估算风暴潮灾害。在 SDTM 框架内,对应于 10,000 年的合成熱帶氣旋使用多个统计指标进行验证,并模拟相关的风暴潮。为了进行比较,我们采用历史风暴法(HSM)模拟了 1950 年至 2019 年历史上的 TC 风暴潮。使用这两种方法计算并比较了风暴潮危害曲线。我们的结果表明,SDTM 可以稳健地估计短期和长期回归期的风暴潮危害,而 HSM 在短期回归期表现良好,但难以可靠地评估长期回归期的风暴潮危害。值得注意的是,在 SDTM 中,风暴潮高度随着 Gumbel 图中重现期的增加而呈现非线性增长,由于 TC 记录的时间跨度有限,在 HSM 中没有观察到这一现象。有了足够的热带气旋数据,SDTM 得出的空间风暴潮危害图就可以作为制定防灾减灾政策的坚实基础。
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引用次数: 0
Parametrizing nonlinearity in orbital velocity at fetch-limited, low-energy beaches 对低能量泳滩轨道速度的非线性进行参数化处理
IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-08-30 DOI: 10.1016/j.coastaleng.2024.104602

Wave nonlinearity plays an important role in cross-shore beach morphodynamics and is often parameterized in engineering-type morphodynamic models through a nonlinear relationship with the Ursell number. It is not evident that the relationship established in previous studies also holds for sheltered sites with fetch-limited seas as they are more prone to effects of local winds and currents, the waves are generally steeper, and the beaches are typically reflective. This study investigates near-bed orbital velocity nonlinearity from wave records collected at two sheltered beaches in The Netherlands and contrasts them to earlier observations made along the exposed, wave-dominated North Sea coast. Our observations at sheltered beaches show that the Ursell number has comparable skill in predicting wave nonlinearity as it has on previously studied exposed coasts. However, the orbital velocities at sheltered coasts are more asymmetric for the same Ursell number than on exposed coasts. When exposed coast data were examined for moments with comparable high-steepness waves, a similar effect on asymmetry was observed. In addition, following and opposing winds were found to have a clear relationship with total nonlinearity, while they did not affect the phase between skewness and asymmetry at the sheltered beaches. Refitting the free parameters of an Ursell-based predictor improved the bias for the asymmetry parameterization. Whether this has implications for modeling of the magnitude of wave-nonlinearity-driven sediment transport using engineering type models is strongly dependent on the sediment transport formulation used, as these formulations depend on additional calibration coefficients too.

波浪非线性在跨岸海滩形态动力学中起着重要作用,工程型形态动力学模型通常通过与厄塞尔数的非线性关系对其进行参数化。以往研究中建立的关系是否也适用于受海流限制的遮蔽地点并不明显,因为这些地点更容易受到当地风和海流的影响,海浪通常更陡峭,海滩通常具有反射性。本研究根据在荷兰两个遮蔽海滩收集的波浪记录,对近床轨道速度非线性进行了研究,并将其与早先在北海海岸以波浪为主的裸露海域进行的观测结果进行了对比。我们在遮蔽海滩的观测结果表明,厄塞尔数在预测波浪非线性方面的能力与之前在裸露海岸的观测结果相当。然而,与裸露海岸相比,在相同的厄塞尔数下,遮蔽海岸的轨道速度更不对称。当对具有可比高陡度波浪的时刻的裸露海岸数据进行研究时,也观察到了对不对称的类似影响。此外,还发现顺风和逆风与总非线性有明显的关系,而它们并不影响遮蔽海滩的倾斜度和不对称之间的相位。重新拟合基于厄塞尔预测器的自由参数改善了不对称参数化的偏差。这是否对使用工程型模型建立波浪非线性驱动的沉积物输运模型有影响,在很大程度上取决于所使用的沉积物输运公式,因为这些公式也取决于额外的校准系数。
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引用次数: 0
Corrigendum: “Experimental study on local scour for large-diameter mono-column composite bucket foundation for offshore wind turbines” [Coast. Eng. 193 (2024)] 更正:"海上风力涡轮机大直径单柱复合斗式基础局部冲刷试验研究" [Coast. Eng. 193 (2024)]
IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-08-28 DOI: 10.1016/j.coastaleng.2024.104599
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引用次数: 0
Enhancing tsunami modelling by using N-waves and the measured topography of coral reef: A study in the South China Sea 利用 N 波和珊瑚礁测量地形加强海啸建模:南海研究
IF 4.2 2区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2024-08-28 DOI: 10.1016/j.coastaleng.2024.104601

The South China Sea (SCS), located at the intersection of two major tectonic plates and near the Manila Fault Zone, is a region highly susceptible to earthquakes and tsunami activities. To develop a more comprehensive and reliable understanding of tsunami behaviours over coral reefs, this study employs the actual topography of a coral reef in the SCS and N-wave theory for the numerical simulation, encompassing the entire tsunami life cycle. Utilizing the open-source solver OlaFlow, driven by the Reynolds-averaged Navier-Stokes (RANS) equations, this study performs a series of numerical simulations of N-wave tsunamis considering the measured topography of the coral reef, as well as the real dimension of an engineering defence structure on the top of the coral reef. The adopted tsunami parameters are equivalent to an earthquake with a moment magnitude of 7.1. The simulations focus on the impact of wave profiles and initial static water levels on the propagation and evolution of tsunamis. Numerical simulations reveal that tsunami profiles, water depth, and topography significantly influence the tsunami dynamics, notably in the waveform transformation, the relationship between wave height and trough-to-peak ratio, and the topographic effects on the wave energy dissipation. These results highlight the critical need to incorporate factors such as tsunami profiles, dispersion, and realistic topography into tsunami predictive models for the purpose of more reliable hazard evaluation and the development of effective coastal defences.

中国南海(SCS)位于两大板块交汇处,靠近马尼拉断裂带,是地震和海啸活动的高发区。为了更全面、更可靠地了解珊瑚礁上的海啸行为,本研究采用了南中国海珊瑚礁的实际地形和 N 波理论进行数值模拟,涵盖了整个海啸生命周期。本研究利用由雷诺平均纳维-斯托克斯(RANS)方程驱动的开源求解器 OlaFlow,对 N 波海啸进行了一系列数值模拟,考虑了珊瑚礁的实测地形以及珊瑚礁顶部工程防御结构的实际尺寸。所采用的海啸参数相当于时刻震级为 7.1 级的地震。模拟的重点是波浪剖面和初始静态水位对海啸传播和演变的影响。数值模拟显示,海啸剖面、水深和地形对海啸动力学有重大影响,特别是在波形转换、波高与波谷-波峰比之间的关系以及地形对波能消散的影响方面。这些结果突出表明,为了进行更可靠的灾害评估和建立有效的海岸防御工事,亟需将海啸剖面、扩散和实际地形等因素纳入海啸预测模式。
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引用次数: 0
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Coastal Engineering
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