High-Fidelity Representation of Three-Hour Offshore Short-Crested Wave Field in the Fully Nonlinear Potential Flow Model REEF3D::FNPF

Weizhi Wang, Csaba Pákozdi, A. Kamath, H. Bihs
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Abstract

Stochastic wave properties are crucial for the design of offshore structures. Short-crested seas are commonly seen at the sites of offshore structures, especially during storm events. A long time duration is required in order to obtain the statistical properties, which is challenging for numerical simulations because of the high demand of computational resources. In this scenario, a potential flow solver is ideal due to its computational efficiency. A procedure of producing accurate representation of short-crested sea states using the open-source fully nonlinear potential flow model REEF3D::FNPF is presented in the paper. The procedure examines the sensitivity of the resolutions in space and time as well as the arrangements of wave gauge arrays. A narrow band power spectrum and a mildly spreading directional spreading function are simulated, and an equal energy method is used to generate input waves to avoid phase-locking. REEF3D::FNPF solves the Laplace equation together with the boundary conditions using a finite difference method. A sigma grid is used in the vertical direction and the vertical grid clustering follows the principle of constant truncation error. High-order discretisation methods are implemented in space and time. Message passing interface is used for high performance computation using multiple processors. Three-hour simulations are performed in full-scale at a hypothetic offshore site with constant water depth. The significant wave height, peak period, kurtosis, skewness and ergodicity are examined in the numerically generated wave field. The stochastic wave properties in the numerical wave tank (NWT) using REEF3D::FNPF match the input wave conditions with high fidelity.
全非线性势流模型REEF3D::FNPF中3小时近海短峰波场的高保真表示
随机波浪特性对近海结构物的设计至关重要。短峰海常见于近海建筑物,特别是在风暴期间。由于对计算资源的要求很高,因此需要较长的时间才能获得统计特性,这对数值模拟来说是一个挑战。在这种情况下,由于其计算效率,势流求解器是理想的。本文提出了一种利用开源的全非线性势流模型REEF3D::FNPF精确表示短峰海况的方法。该程序检查在空间和时间分辨率的敏感性,以及波浪计阵列的安排。模拟了窄带功率谱和温和扩频的定向扩频函数,并采用等能量法产生输入波以避免锁相。REEF3D::FNPF采用有限差分法求解拉普拉斯方程和边界条件。垂直方向采用sigma网格,垂直网格聚类遵循截断误差恒定的原则。在空间和时间上实现了高阶离散化方法。消息传递接口用于多处理器的高性能计算。在假设的恒定水深的海上地点进行了三小时的全尺寸模拟。在数值生成的波场中考察了有效波高、峰值周期、峰度、偏度和遍历性。采用REEF3D::FNPF计算的数值波槽随机波特性与输入波条件具有较高的保真度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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