用水波绘图
Drawing with water waves
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中文总结 AI 辅助
该研究针对海洋工程中复杂3D波场再现难题，提出用瞬态多向聚焦波在水面绘图的新方法，整合多种技术减轻波高过冲，经模拟和实验验证有效，为创建任意2D和3D表面几何形状建立确定性方法，利于海洋工程波场控制。
中文摘要 AI 辅助
在海洋工程中，复杂三维波场的确定性再现仍是重大挑战。本研究提出一种新方法，利用瞬态多向聚焦波在水面绘制任意二维曲线和三维体积形状。为克服传统离散点聚焦方法的局限，框架整合了贝塞尔曲线参数化、等弧长采样和迭代幅度校正（IAC）算法，有效减轻波高过冲，实现频谱分量精确空间叠加。通过线性波理论和光滑粒子流体动力学（SPH）模拟验证了该方法有效性，并经物理实验进一步证明能生成目标形状。虽高振幅精度需进一步整合非线性波理论，但此技术为创建任意二维和三维表面几何形状建立了确定性方法，在海洋工程波场控制中有显著优势。
英文摘要
The deterministic reproduction of complex 3D wave fields remains a significant challenge in ocean engineering. This study proposes a novel methodology for drawing arbitrary 2D curves and 3D volumetric shapes on a water surface using transient multi-directional focused waves. To overcome the limitations of conventional discrete-point focusing methods, our framework integrates Bézier curve parametrisation, equal arc-length sampling, and an Iterative Amplitude Correction (IAC) algorithm. This effectively mitigates wave height overshoot and enables precise spatial superposition of spectral components. The method's effectiveness was validated through linear wave theory and Smoothed Particle Hydrodynamics (SPH) simulations, successfully reproducing 2D characters and a 3D human face. Physical experiments in the FloWave circular wave basin further demonstrated target shape generation, such as a 2D star and 3D pyramid. Although further integration of nonlinear wave theories is necessary for high-amplitude accuracy, this technique establishes a deterministic methodology for creating arbitrary 2D and 3D surface geometries. It represents a significant advantage in wave field control for ocean engineering applications.
