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

Abstract

Here, 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. Finally, the fidelity of a remapping strategy is also examined for a moving interface problem.

Authors:
 [1];  [2];  [2];  [2]
  1. Duke Univ., Durham, NC (United States). Department of Civil and Environmental Engineering
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1426970
Report Number(s):
SAND-2007-1246J
Journal ID: ISSN 0045-7825; 526719
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Computer Methods in Applied Mechanics and Engineering
Additional Journal Information:
Journal Volume: 197; Journal Issue: 5; Journal ID: ISSN 0045-7825
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; Interface reconstruction; Extended finite element; Volume-of-fluid

Citation Formats

Dolbow, John E., Mosso, Stewart John, Robbins, Joshua, and Voth, Thomas Eugene. Coupling volume-of-fluid based interface reconstructions with the extended finite element method. United States: N. p., 2007. Web. doi:10.1016/j.cma.2007.08.010.
Dolbow, John E., Mosso, Stewart John, Robbins, Joshua, & Voth, Thomas Eugene. Coupling volume-of-fluid based interface reconstructions with the extended finite element method. United States. doi:10.1016/j.cma.2007.08.010.
Dolbow, John E., Mosso, Stewart John, Robbins, Joshua, and Voth, Thomas Eugene. Fri . "Coupling volume-of-fluid based interface reconstructions with the extended finite element method". United States. doi:10.1016/j.cma.2007.08.010. https://www.osti.gov/servlets/purl/1426970.
@article{osti_1426970,
title = {Coupling volume-of-fluid based interface reconstructions with the extended finite element method},
author = {Dolbow, John E. and Mosso, Stewart John and Robbins, Joshua and Voth, Thomas Eugene},
abstractNote = {Here, 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. Finally, the fidelity of a remapping strategy is also examined for a moving interface problem.},
doi = {10.1016/j.cma.2007.08.010},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = 5,
volume = 197,
place = {United States},
year = {2007},
month = {9}
}

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