通过多孔浅水方程减缓海岸侵蚀的形状Optimization
Shape Optimization for the Mitigation of Coastal Erosion via Porous Shallow Water Equations
摘要：
海岸侵蚀描述了破坏性的海浪、海流或潮汐造成的陆地位移。为了减轻这些影响，人们做出了很大的努力，使用了丁坝、防波堤和各种其他结构。我们解决这个问题，通过应用形状优化技术的障碍。我们使用带有人工粘性的二维多孔浅水方程来模拟波浪向海岸线的传播。障碍物的形状，这是假定为可渗透的，优化了一个适当的费用函数，以尽量减少沿海岸的水波的高度和速度，而不依赖于一个有限维的设计空间，但基于形状演算。
英文摘要：
Coastal erosion describes the displacement of land caused by destructive sea waves, currents or tides. Major efforts have been made to mitigate these effects using groynes, breakwaters and various other structures. We address this problem by applying shape optimization techniques on the obstacles. We model the propagation of waves towards the coastline using two-dimensional porous Shallow Water Equations with artificial viscosity. The obstacle's shape, which is assumed to be permeable, is optimized over an appropriate cost function to minimize the height and velocities of water waves along the shore, without relying on a finite-dimensional design space, but based on shape calculus.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
