Fast Integral Equation Methods for Fully Nonlinear Water Wave Modeling

Fast Integral Equation Methods for Fully Nonlinear Water Wave Modeling
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全非线性水波建模的快速积分方程方法

DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
S. Grilli
S. Grilli
中科院分区：
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文献类型：
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作者：
Jeffrey C. Harris;E. Dombre;M. Benoit;S. Grilli

文献摘要

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我们介绍了高效数值波池 (NWT) 的开发和验证，它可以求解三个维度的完全非线性势流。这种边界元方法基于 Grilli 等人的波浪模型的变体，该模型已得到充分验证。混合欧拉-拉格朗日时间更新基于二阶泰勒级数展开。为了解决复杂几何形状的问题，我们重新构建模型以使用边界的 3D 非结构化三角网格，并并行应用快速多极子方法实现 ExaFMM，以使大型网格的使用变得实用。我们展示了与性能相关的各种问题，与结构化网格上现有的高阶边界元 NWT 进行比较，并展示了这种修改方法的功能。
We present the development and validation of an efficient numerical wave tank (NWT), which solves for fully nonlinear potential flow in three dimensions. This boundary element approach is based on a variation of the wave model of Grilli et al., which has been well validated. The mixed Eulerian-Lagrangian time updating is based on a second-order Taylor series expansion. In order to solve problems with complex geometries, we reformulate the model to use a 3D unstructured triangular mesh of the boundaries, and apply the fast multipole method implementation, ExaFMM, in parallel, to make the use of large grids practical. We demonstrate the various issues related to performance, comparing against the existing higher-order boundary element NWT on a structured mesh, as well as demonstrating the capabilities of this modified approach.