...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Computational Physics >Efficient enforcement of far-field boundary conditions in the Transformed Field Expansions method
【24h】

Efficient enforcement of far-field boundary conditions in the Transformed Field Expansions method

机译：变换场扩展方法中有效执行远场边界条件

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The Method of Transformed Field Expansions (TFE) has been demonstrated to be a robust and highly accurate numerical scheme for simulating solutions of boundary value and free boundary problems from the sciences and engineering. As a Boundary Perturbation Method it builds highly accurate solutions based upon exact solutions in a simple, canonical, geometry and corrects these via Taylor series to fit the actual geometry at hand. The TFE method has significantly enhanced stability properties when compared with other Boundary Perturbation approaches, however, this comes at the cost of requiring a full volumetric discretization as opposed the surface formulation that other methods can realize. In this paper we outline two techniques for ameliorating this shortcoming, first by employing a Legendre Spectral Element Method to implement efficient, graded meshes, and second by utilizing an Artificial Boundary with a Transparent Boundary Condition placed quite close to the boundary of the domain. In this contribution we focus on the specific problem of simulating the Dirichlet-Neumann operator associated to Laplace's equation on a periodic cell (which arises in the water wave problem). While the details of our results are specific to this problem, the general conclusions are valid for the wider class of problems to which the TFE method can be applied. For each technique we discuss implementation details and display numerical results which support the conclusion that each of these techniques can greatly reduce the computational cost of using the TFE method.
机译：事实证明，变换场扩展方法（TFE）是一种健壮且高度精确的数值方案，用于模拟科学和工程领域的边值问题和自由边界问题。作为边界摄动法，它可以基于简单，规范的几何中的精确解来构建高度精确的解，并通过泰勒级数对其进行校正以适合手头的实际几何。与其他边界摄动方法相比，TFE方法具有显着增强的稳定性，但是，与其他方法可以实现的表面配方相反，这是需要完全体积离散的代价。在本文中，我们概述了两种可改善此缺点的技术，一种是通过采用Legendre光谱元素方法来实现高效的渐变网格，其次是通过使用具有透明边界条件且位于边界附近的人工边界。在这一贡献中，我们集中于在周期单元上模拟与Laplace方程关联的Dirichlet-Neumann算子的特定问题（这在水波问题中产生）。尽管我们的研究结果的详细信息针对该问题，但总的结论对于可以应用TFE方法的更广泛的问题是有效的。对于每种技术，我们讨论了实现细节并显示了数值结果，这些结论支持以下结论：每种技术都可以大大降低使用TFE方法的计算成本。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号