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| Titel |
Using the level set method in geodynamical modeling of multi-material flows and Earth's free surface |
| VerfasserIn |
B. Hillebrand, C. Thieulot, T. Geenen, A. P. van den Berg, W. Spakman |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1869-9510
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| Digitales Dokument |
URL |
| Erschienen |
In: Solid Earth ; 5, no. 2 ; Nr. 5, no. 2 (2014-11-18), S.1087-1098 |
| Datensatznummer |
250115347
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| Publikation (Nr.) |
 copernicus.org/se-5-1087-2014.pdf |
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| Zusammenfassung |
| The level set method allows for tracking material surfaces in 2-D
and 3-D flow modeling and is well suited for applications of
multi-material flow modeling. The level set method utilizes smooth
level set functions to define material interfaces, which makes the
method stable and free of oscillations that are typically observed
in case step-like functions parameterize interfaces. By design the
level set function is a signed distance function and gives for each
point in the domain the exact distance to the interface as well as on which
side it is located. In this paper we present four benchmarks which
show the validity, accuracy and simplicity of using the level set
method for multi-material flow modeling. The benchmarks are
simplified setups of dynamical geophysical processes such as
the Rayleigh–Taylor instability, post-glacial rebound, subduction and
slab detachment. We also demonstrate the benefit of using the level
set method for modeling a free surface with the sticky air
approach. Our results show that the level set method allows for
accurate material flow modeling and that the combination with the
sticky air approach works well in mimicking Earth's free
surface. Since the level set method tracks material interfaces
instead of materials themselves, it has the advantage that the
location of these interfaces is accurately known and that it
represents a viable alternative to the more commonly used tracer
method. |
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