World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

Using the Level Set Method in Geodynamical Modeling of Multi-material Flows and Earth's Free Surface : Volume 6, Issue 2 (09/07/2014)

By Hillebrand, B.

Click here to view

Book Id: WPLBN0004021945
Format Type: PDF Article :
File Size: Pages 32
Reproduction Date: 2015

Title: Using the Level Set Method in Geodynamical Modeling of Multi-material Flows and Earth's Free Surface : Volume 6, Issue 2 (09/07/2014)  
Author: Hillebrand, B.
Volume: Vol. 6, Issue 2
Language: English
Subject: Science, Solid, Earth
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Thieulot, C., Hillebrand, B., Van Den Berg, A. P., Geenen, T., & Spakman, W. (2014). Using the Level Set Method in Geodynamical Modeling of Multi-material Flows and Earth's Free Surface : Volume 6, Issue 2 (09/07/2014). Retrieved from

Description: Department of Earth Sciences, Utrecht University, the Netherlands. 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 and 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 a 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.

Using the level set method in geodynamical modeling of multi-material flows and Earth's free surface

Andrews, E. and Billen, M.: Rheologic controls on the dynamics of slab detachment, Tectonophysics, 464, 60–69, 2009.; Bangerth, W. and Heister, T.: ASPECT: Advanced Solver for Problems in Earth's ConvecTion, Texas A&M University/Computational Infrastructure in Geodynamics, 2013.; Androvičová, A., Čižková, H., and van den Berg, A.: The effects of rheological decoupling on slab deformation in the Earth's upper mantle, Stud. Geophys. Geod., 57, 460–481, 2013.; Baumann, C., Gerya, T., and Connolly, J.: Numerical modelling of spontaneous slab breakoff dynamics during continental collision, Geological Society, London, Special Publications, 332, 99–114, 2010.; Běhounková, M. and Čižková, H.: Long-wavelength character of subducted slabs in the lower mantle, Earth Planet. Sc. Lett., 275, 43–53, 2008.; Billen, M. and Hirth, G.: Rheologic controls on slab dynamics, Geochem. Geophy. Geosy., 8, Q08012, doi:10.1029/2007GC001597, 2007.; Bourgouin, L., Mühlhaus, H.-B., Hale, A., and Arsac, A.: Towards realistic simulations of lava dome growth using the level set method, Acta Geotech. Slov., 1, 225–236, doi:10.1007/s11440-006-0016-6, 2006.; Braun, J., Thieulot, C., Fullsack, P., DeKool, M., Beaumont, C., and Huismans, R.: DOUAR: a new three-dimensional creeping flow numerical model for the solution of geological problems, Phys. Earth Planet. In., 171, 76–91, 2008.; Brooks, A. and Hughes, T.: Stream-line upwind/Petrov–Galerkin formulation for convection dominated flows with particular emphasis on the incompressible Navier–Stokes equations, Comput. Methods Appl. Mech. Engrg., 32, 199–259, 1982.; Chertova, M. V., Geenen, T., van den Berg, A., and Spakman, W.: Using open sidewalls for modelling self-consistent lithosphere subduction dynamics, Solid Earth, 3, 313–326, doi:10.5194/se-3-313-2012, 2012.; Christensen, U.: The influence of trench migration on slab penetration into the lower mantle, Earth Planet. Sc. Lett., 140, 27–39, 1996.; Kronbichler, M., Heister, T., and Bangerth, W.: High accuracy mantle convection simulation through modern numerical methods, Geophys. J. Int., 191, 12–29, 2012.; Čížková, H., van Hunen, J., and van den Berg, A.: Stress distribution within subducting slabs and their deformation in the transition zone, Phys. Earth Planet. In., 161, 202–214, 2007.; Crameri, F., Schmeling, H., Golabek, G., Duretz, T., Orendt, R., Buiter, S., May, D. A., Kaus, B., Gerya, T., and Tackley, P.: A comparison of numerical surface topography calculations in geodynamic modelling: an evaluation of the sticky air method, Geophys. J. Int., 189, 38–54, doi:10.1111/j.1365-246X.2012.05388.x, 2012.; Duretz, T., Gerya, T., and May, D.: Numerical modelling of spontaneous slab breakoff and subsequent topographic response, Tectonophysics, 502, 244–256, doi:10.1016/j.tecto.2010.05.024, 2011.; Duretz, T., Schmalholz, S., and Gerya, T.: Dynamics of slab detachment, Geochem. Geophy. Geosy., 13, Q03020, doi:10.1029/2011GC004024, 2012.; Duretz, T., Gerya, T. V., and Spakman, W.: Slab detachment in laterally varying subduction zones: 3-D numerical modeling, Geophys. Res. Lett., 41, 1951–1956, doi:10.1002/2014GL059472, 2014.; Fullsack, P.: An arbitrary Lagrangian-Eulerian formulation for creeping flows and its application in tectonic models, Geophys. J. Int., 120, 1–23, 1995.; Gerya, T., Fossati, D., Cantieni, C., and Seward, D.: Dynamic effects of aseismic ridge subduction: numerical modelling, Eur. J. Mineral., 21, 649–661, 2009.; Gottlieb, S. and Shu, C.: Total variation diminishing Runge–Kutta sch


Click To View

Additional Books

  • Evaluation of Soil Fertility in the Succ... (by )
  • Biochar Can Be Used to Recapture Essenti... (by )
  • Remediation of Degraded Arable Steppe So... (by )
  • Evidence of Magma Activation Beneath the... (by )
  • Reprocessed Height Time Series for Gps S... (by )
  • Sedimentological Characteristics of Ice-... (by )
  • Magma Storage and Plumbing of Adakite-ty... (by )
  • Short-wavelength Undulatory Extinction i... (by )
  • Characterization and Interaction of Driv... (by )
  • Re-evaluation of the Mentelle Basin, a P... (by )
  • Short-lived Tectonic Switch Mechanism fo... (by )
  • A Database of Plagioclase Crystal Prefer... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from World Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.