Interface handling for three‐dimensional higher‐order XFEM‐computations in fluid–structure interaction
Interface handling for three‐dimensional higher‐order XFEM‐computations in fluid–structure interaction
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DOI：
10.1002/nme.2600
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发表时间：
2009-08
影响因子：
2.9
通讯作者：
U. Mayer;A. Gerstenberger;W. Wall
中科院分区：
文献类型：
--
作者：
U. Mayer;A. Gerstenberger;W. Wall
三维高阶扩展有限元法（XFEM）计算仍然提出具有挑战性的计算几何问题，特别是对于移动界面。本文提供了一种在底层三维高阶 FE 网格中定位高阶界面有限元 (FE) 网格的方法。此外，它还演示了如何获得相交单元的亚四面体化，这保留了可能弯曲的界面并因此允许精确的数值积分。
Three‐dimensional higher‐order eXtended finite element method (XFEM)‐computations still pose challenging computational geometry problems especially for moving interfaces. This paper provides a method for the localization of a higher‐order interface finite element (FE) mesh in an underlying three‐dimensional higher‐order FE mesh. Additionally, it demonstrates, how a subtetrahedralization of an intersected element can be obtained, which preserves the possibly curved interface and allows therefore exact numerical integration.