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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >An unsteady 3D Isogeometrical Boundary Element Analysis applied to nonlinear gravity waves
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An unsteady 3D Isogeometrical Boundary Element Analysis applied to nonlinear gravity waves

机译：非线性重力波的非定常3D等距边界元分析

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In this paper we describe a three-dimensional Isogeometric Analysis based on the Boundary Element Method (IGA-BEM) in the time domain. We show the capabilities and accuracy of the method for the simulation of non-linear gravity waves. The flow is assumed to be inviscid and irrotational and this leads to a mixed boundary value problem governed by the Laplace's equation. The Boundary Integral Equation is solved at each time step and the time marching scheme is performed with a fourth order Runge-Kutta method. The hydrodynamic force is calculated with an auxiliary boundary equation. In the simulations, the analysis suitable-T-spline and NURBS basis are used to approximate both the geometry and the BEM variables in the context of the Bezier extraction framework. The main advantages of this approach are: (1) the control of the continuity and smoothness of the T-spline and NURBS basis, which makes the model numerically stable without the need of artificial smooth techniques; (2) the high geometrical approximation of the non-rational splines; (3) the refinement capabilities without affecting the geometry and BEM variables and (4) and the direct integration with computer aided geometrical design tools. Some numerical benchmark examples are analysed to demonstrate the accuracy and the stability of the method. In addition, we report simulations of waves generated by the movement of submerged foils, which have implications in some wave generator systems installed in surf parks. (C) 2016 Elsevier B.V. All rights reserved.
机译：在本文中，我们描述了基于时域边界元方法（IGA-BEM）的三维等几何分析。我们展示了用于非线性重力波仿真的方法的功能和准确性。假定流动是无粘性且无旋流的，这将导致由拉普拉斯方程控制的混合边值问题。在每个时间步解边界积分方程，并使用四阶Runge-Kutta方法执行时间行进方案。用辅助边界方程计算流体动力。在仿真中，在Bezier提取框架的背景下，使用适合的T样条曲线和NURBS分析基础来近似估计几何形状和BEM变量。这种方法的主要优点是：（1）控制T样条和NURBS基础的连续性和平滑性，这使得模型在数值上稳定，而无需人工平滑技术。 （2）非有理花键的高度几何近似； （3）在不影响几何和BEM变量的情况下具有完善的功能，以及（4）与计算机辅助几何设计工具直接集成。分析了一些数值基准示例，以证明该方法的准确性和稳定性。此外，我们报告了由淹没箔的运动产生的波的模拟，这对冲浪公园中安装的某些波发生器系统有影响。 （C）2016 Elsevier B.V.保留所有权利。

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