Coupling volume-of-fluid based interface reconstructions with the extended finite element method

被引:6
作者
Dolbow, John [1 ]
Mosso, Stewart [2 ]
Robbins, Joshua [2 ]
Voth, Tom [2 ]
机构
[1] Dept Civil & Environm Engn, Durham, NC 27708 USA
[2] Sandia Natl Labs, Albuquerque, NM 87185 USA
关键词
interface reconstruction; extended finite element; volume-of-fluid;
D O I
10.1016/j.cma.2007.08.010
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We examine the coupling of the patterned-interface-reconstruction (PIR) algorithm with the extended finite element method (X-FEM) for general multi-material problems over structured and unstructured meshes. The coupled method offers the advantages of allowing for local, element-based reconstructions of the interface, and facilitates the imposition of discrete conservation laws. Of particular note is the use of an interface representation that is volume-of-fluid based, giving rise to a segmented interface representation that is not continuous across element boundaries. In conjunction with such a representation, we employ enrichment with the ridge function for treating material interfaces and an analog to Heaviside enrichment for treating free surfaces. We examine a series of benchmark problems that quantify the convergence aspects of the coupled method and examine the sensitivity to noise in the interface reconstruction. The fidelity of a remapping strategy is also examined for a moving interface problem. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:439 / 447
页数:9
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