An XFEM‐based embedding mesh technique for incompressible viscous flows
An XFEM‐based embedding mesh technique for incompressible viscous flows
复制标题
基于 XFEM 的不可压缩粘性流嵌入网格技术
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
W. Wall
中科院分区：
文献类型：
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作者：
S. Shahmiri;A. Gerstenberger;W. Wall
本文提出了一种有限元网格嵌入技术，有效地嵌入任意流体网格片到笛卡尔或非结构化的背景流体网格。我们的激励应用这种技术是有效地解决流动特征，如边界层周围的结构，这是通过附加流体边界层网格周围的这些结构表面。所提出的技术可以被归类为非重叠区域分解方法。其特殊之处在于，嵌入式面片将一个空白区域切割到背景网格中，而与背景元素边缘无关。由于嵌入的流体域结束在中间的背景元素，扩展的FE技术被用来模拟一个尖锐的分离之间的活动和非活动区域的背景网格。使用Gerstenberger和Wall（textitInt. J. Numer。Meth.工程师2010; 82：537-563）。该耦合公式对拉格朗日乘子未知数不起稳定作用，并且拉格朗日乘子可以完全压缩在单元级上。在本文中，该方法推导出不可压缩，粘性流。使用线性和二次形函数的三维例子证明了所提出的方法的正确性和通用性。版权所有© 2010约翰威利父子有限公司.
This paper presents a finite element (FE) embedding mesh technique to efficiently embed arbitrary fluid mesh patches into Cartesian or unstructured background fluid grids. Our motivating application for such a technique is to efficiently resolve flow features like boundary layers around structures, which is achieved by attaching fluid boundary layer meshes around these structure surfaces. The proposed technique can be classified as a non‐overlapping domain decomposition method. The particular feature is that the embedded patch cuts a void region into the background grid independently of background element edges. Since the embedded fluid domain ends in the middle of background elements, extended FE techniques are used to model a sharp separation between active and inactive regions on the background grid. The active background region is coupled to the boundary layer mesh using a mixed/hybrid Lagrange multiplier technique as proposed in Gerstenberger and Wall (textitInt. J. Numer. Meth. Engng. 2010; 82:537–563). The coupling formulation works without stabilization for the Lagrange multiplier unknowns and the Lagrange multiplier can be completely condensed on the element level. Within this paper, the approach is derived for incompressible, viscous flows. Three‐dimensional examples using linear and quadratic shape functions demonstrate the correctness and the versatility of the proposed approach. Copyright © 2010 John Wiley & Sons, Ltd.
影响因子：
2.9
作者：
U. Mayer;A. Gerstenberger;W. Wall
通讯作者：
U. Mayer;A. Gerstenberger;W. Wall