AI 中文总结
研究水波作用下多孔水平圆盘的波散射问题，将其表述为积分方程，用边界元法求解，重点计算水动力。结果表明孔隙率参数G对附加质量、阻尼系数等有影响，所提公式经验证与文献吻合良好。
AI 中文摘要
研究了淹没在深水中的薄多孔圆形板的波散射问题。该问题被表述为单位圆盘上的第二类超奇异弗雷德霍姆积分方程，采用边界元法进行数值求解。分析重点在于计算水动力，特别是附加质量（实部）和阻尼系数（虚部）。结果表明孔隙率参数G的影响：孔隙率较小的板（G实）增加附加质量和水动力，而孔隙率较大的板（G虚）减少这些影响但增加阻尼系数。所提出的公式得到了验证，与现有文献显示出极好的一致性。
英文摘要
Wave scattering by a thin, porous circular plate submerged in deep water is investigated. The problem is formulated as a second-kind hypersingular Fredholm integral equation over the unit disk, solved numerically using the Boundary Element Method. The analysis focuses on calculating hydrodynamic forces, specifically added mass (real part) and damping coefficient (imaginary part). Results demonstrate the influence of the porosity parameter G: less porous plates (G real) increase added mass and hydrodynamic force, while more porous plates (G imaginary) reduce these effects but increase the damping coefficient. The proposed formulation is validated, showing excellent agreement with established literature.
Comments16 pages, 8 figures. Accepted for publication in Ciência e Natura
