The extended finite element method for two-phase and free-surface flows: A systematic study

被引：66

作者：

Sauerland, Henning ^{[1
]}

Fries, Thomas-Peter ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Chair Computat Anal Tech Syst, CCES, D-52062 Aachen, Germany

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 09期

关键词：

Extended finite element method; XFEM; Two-phase flows; Free-surface flows; Enrichment; SPACE-TIME PROCEDURE; ARBITRARY DISCONTINUITIES; MOVING BOUNDARIES; CRACK-GROWTH; LEVEL SETS; X-FEM; COMPUTATIONS; APPROXIMATION; FORMULATION; INTERFACES;

D O I：

10.1016/j.jcp.2011.01.033

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In immiscible two-phase flows, jumps or kinks are present in the velocity and pressure fields across the interfaces of the two fluids. The extended finite element method (XFEM) is able to reproduce such discontinuities within elements. Robust and accurate interface capturing schemes with no restrictions on the interface topology are thereby enabled. This paper investigates different enrichment schemes and time-integration schemes within the XFEM. Test cases with and without surface tension on moving or stationary meshes are studied and compared to interface tracking results when possible. A particularly useful setting is extracted which is recommended for two-phase flows. An extension of this formulation for the simulation of free-surface flows and of floating objects is proposed. (c) 2011 Elsevier Inc. All rights reserved.

引用

页码：3369 / 3390

页数：22

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