A conservative level set method for two phase flow II
Publication type: Journal Article
Publication date: 2007-07-01
scimago Q1
wos Q1
SJR: 1.685
CiteScore: 7.9
Impact factor: 3.8
ISSN: 00219991, 10902716
Computer Science Applications
Physics and Astronomy (miscellaneous)
Computational Mathematics
Applied Mathematics
Numerical Analysis
Modeling and Simulation
Abstract
In this paper, we continue to develop and study the conservative level set method for incompressible two phase flow with surface tension introduced in [J. Comput. Phys. 210 (2005) 225–246]. We formulate a modification of the reinitialization and present a theoretical study of what kind of conservation we can expect of the method. A finite element discretization is presented as well as an adaptive mesh control procedure. Numerical experiments relevant for problems in petroleum engineering and material science are presented. For these problems the surface tension is strong and conservation of mass is important. Problems in both two and three dimensions with uniform as well as non-uniform grids are studied. From these calculations convergence and conservation is studied. Good conservation and convergence are observed.
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494
Total citations:
494
Citations from 2024:
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(16.19%)
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Olsson E., Kreiss G., Zahedi S. A conservative level set method for two phase flow II // Journal of Computational Physics. 2007. Vol. 225. No. 1. pp. 785-807.
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Olsson E., Kreiss G., Zahedi S. A conservative level set method for two phase flow II // Journal of Computational Physics. 2007. Vol. 225. No. 1. pp. 785-807.
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RIS
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TY - JOUR
DO - 10.1016/j.jcp.2006.12.027
UR - https://doi.org/10.1016/j.jcp.2006.12.027
TI - A conservative level set method for two phase flow II
T2 - Journal of Computational Physics
AU - Olsson, Elin
AU - Kreiss, Gunilla
AU - Zahedi, Sara
PY - 2007
DA - 2007/07/01
PB - Elsevier
SP - 785-807
IS - 1
VL - 225
SN - 0021-9991
SN - 1090-2716
ER -
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BibTex (up to 50 authors)
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@article{2007_Olsson,
author = {Elin Olsson and Gunilla Kreiss and Sara Zahedi},
title = {A conservative level set method for two phase flow II},
journal = {Journal of Computational Physics},
year = {2007},
volume = {225},
publisher = {Elsevier},
month = {jul},
url = {https://doi.org/10.1016/j.jcp.2006.12.027},
number = {1},
pages = {785--807},
doi = {10.1016/j.jcp.2006.12.027}
}
Cite this
MLA
Copy
Olsson, Elin, et al. “A conservative level set method for two phase flow II.” Journal of Computational Physics, vol. 225, no. 1, Jul. 2007, pp. 785-807. https://doi.org/10.1016/j.jcp.2006.12.027.