XFEM with hanging nodes for two-phase incompressible flow
XFEM with hanging nodes for two-phase incompressible flow
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DOI：
10.1016/j.cma.2012.07.011
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发表时间：
2012-10
影响因子：
7.2
通讯作者：
K. Cheng;T. Fries
中科院分区：
文献类型：
--
作者：
K. Cheng;T. Fries
本文发展了适用于二维和三维两流体不可压缩流动数值模拟的H型扩展有限元法。在两相流界面附近采用了在1-不规则网格上悬挂节点的多层自适应网格加密方法。符号富集用于XFEM近似，其精确地占在压力场中的跳跃。水平集方法用于界面的隐式表示。采用Laplace-Beltrami技术对表面张力进行建模，避免了曲率的显式计算。这项工作的一个重点是如何实现的接口之间的相互作用的运动（在一个依赖于时间的水平集函数），自适应细化和丰富的XFEM近似。这项研究还表明，表面张力的计算所需的界面的法向矢量的近似，可以对求解器的精度有显着的影响。几个二维和三维的测试情况下进行了研究。
This study develops the h-version of the Extended Finite Element Method (XFEM) applied to the simulation of two-fluid incompressible flow in two and three dimensions. A multilevel adaptive mesh refinement realized via hanging nodes on 1-irregular meshes is employed in the vicinity of the two-fluid interface. The sign-enrichment is used for the XFEM approximation which accurately accounts for the jump in the pressure field. The level-set method is used for the implicit representation of the interface. The Laplace–Beltrami technique is employed for the modelling of the surface tension, which avoids the explicit computation of the curvature. An emphasis of this work is on how the interplay between the interface movement (in terms of a time-dependent level-set function), the adaptive refinement and the enriched XFEM approximations, is realized. This study also demonstrates that the approximation of the normal vector to the interface, required for the computation of the surface tension, can have a significant impact on the accuracy of the solver. Several two- and three-dimensional test cases are investigated.