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首页> 外文期刊>Journal of Computational Physics >A hybrid method for linearized wave radiation and diffraction problem by a three dimensional floating structure in a polynya
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A hybrid method for linearized wave radiation and diffraction problem by a three dimensional floating structure in a polynya

机译：一种杂交方法，通过多发性三维浮动结构线性化波辐射和衍射问题

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A hybrid method is developed to solve the interaction problem of wave with a three dimensional floating structure in a polynya. The linearized velocity potential theory is used for fluid flow, and the thin elastic plate model is adopted for the infinitely extended ice sheet. Because of sudden change of the upper boundary of the computational domain, namely from the ice sheet to the free surface, the domain is divided into two sub-domains, one below free surface and the other below the ice sheet. The solution method is divided into three components. The first component is the integral equation over the structure surface and the interface of the two sub-domains. In the second component, the velocity potential is expanded into a series of eigenfunctions in the vertical directions, which avoids the numerical difficulty in calculation of the fifth derivatives. This is coupled with a series of integral equations along the edge of the ice sheet. In the third component of the method, two orthogonal inner products are used to impose the continuity conditions of the velocity and pressure on the interface, as well as the boundary conditions on the ice edge. The developed method is verified through comparison with the analytical solution for a circular cylinder. Case study is then made for a FPSO in a polynya with different shapes and floating positions. The hydrodynamic coefficients, wave exciting force and wave elevation in polynya are provided and analyzed. (C) 2020 Elsevier Inc. All rights reserved.
机译：开发了一种混合方法以解决多发性三维浮动结构的波的相互作用问题。线性化速度潜在理论用于流体流动，并且采用无限延伸的冰盖采用薄的弹性板模型。由于计算结构域的上边界突然变化，即从冰盖到自由表面，畴被分成两个亚畴，一个低于自由表面，另一个在冰盖下方。解决方案方法分为三个组分。第一组件是结构表面上的积分方程和两个子域的界面。在第二组分中，速度电位在垂直方向上扩展到一系列特征函数中，这避免了第五衍生物的计算中的数值难度。这与沿着冰盖边缘的一系列整体方程联接。在该方法的第三组分中，两个正交内部产品用于施加界面上的速度和压力的连续性条件，以及冰边上的边界条件。通过与圆柱体的分析解决方案进行比较来验证开发方法。然后在具有不同形状和浮动位置的Polynya中进行FPSO进行案例研究。提供并分析了多发性的流体动力系数，波激励磁力和波升升高。 （c）2020 Elsevier Inc.保留所有权利。

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