Articles | Volume 5, issue 2
https://doi.org/10.5194/se-5-1087-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/se-5-1087-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Method article
| 
18 Nov 2014
Method article |
| 18 Nov 2014
Using the level set method in geodynamical modeling of multi-material flows and Earth's free surface
B. Hillebrand
CORRESPONDING AUTHOR
Department of Earth Sciences, Utrecht University, the Netherlands
C. Thieulot
Department of Earth Sciences, Utrecht University, the Netherlands
Centre of Earth Evolution and Dynamics (CEED), University of Oslo, 0316 Oslo, Norway
T. Geenen
SurfSara, Amsterdam, the Netherlands
A. P. van den Berg
Department of Earth Sciences, Utrecht University, the Netherlands
W. Spakman
Department of Earth Sciences, Utrecht University, the Netherlands
Centre of Earth Evolution and Dynamics (CEED), University of Oslo, 0316 Oslo, Norway
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Cited
17 citations as recorded by crossref.
- Dampening effect of global flows on Rayleigh–Taylor instabilities: implications for deep-mantle plumes vis-à-vis hotspot distributions A. Roy et al. https://doi.org/10.1093/gji/ggad414
- A Pointwise Conservative Method for Thermochemical Convection Under the Compressible Anelastic Liquid Approximation N. Sime et al. https://doi.org/10.1029/2021GC009922
- Modeling Multi‐Material Structural Patterns in Tectonic Flow With a Discontinuous Galerkin Level Set Method Q. Wú et al. https://doi.org/10.1029/2023JB026806
- Dynamic weakening with grain-damage and implications for slab detachment A. Bellas et al. https://doi.org/10.1016/j.pepi.2018.09.001
- Models of convection and segregation in heterogeneous partially molten crustal roots with a VOF method – I: flow regimes A. Louis–Napoléon et al. https://doi.org/10.1093/gji/ggab510
- Bending curvatures of subducting plates: old versus young slabs R. Dasgupta et al. https://doi.org/10.1093/gji/ggab070
- 3-D numerical modelling of crustal polydiapirs with volume-of-fluid methods A. Louis-Napoléon et al. https://doi.org/10.1093/gji/ggaa141
- Towards automatic finite-element methods for geodynamics via Firedrake D. Davies et al. https://doi.org/10.5194/gmd-15-5127-2022
- A free surface capturing discretization for the staggered grid finite difference scheme T. Duretz et al. https://doi.org/10.1093/gji/ggv526
- Stability and accuracy of free surface time integration in viscous flows I. Rose et al. https://doi.org/10.1016/j.pepi.2016.11.007
- An Exactly Mass Conserving and Pointwise Divergence Free Velocity Method: Application to Compositional Buoyancy Driven Flow Problems in Geodynamics N. Sime et al. https://doi.org/10.1029/2020GC009349
- Nonlinear viscoplasticity in ASPECT: benchmarking and applications to subduction A. Glerum et al. https://doi.org/10.5194/se-9-267-2018
- Constraining subducting slab viscosity with topography and gravity fields in free-surface mantle convection models L. Deng et al. https://doi.org/10.1016/j.tecto.2023.230195
- Manufacturing an Exact Solution for 2D Thermochemical Mantle Convection Models S. Trim et al. https://doi.org/10.1029/2022GC010807
- Improving Mass Conservation With the Tracer Ratio Method: Application to Thermochemical Mantle Flows S. Trim et al. https://doi.org/10.1029/2019GC008799
- 101 geodynamic modelling: how to design, interpret, and communicate numerical studies of the solid Earth I. van Zelst et al. https://doi.org/10.5194/se-13-583-2022
- A level-set method for imaging salt structures using gravity data W. Li et al. https://doi.org/10.1190/geo2015-0295.1
17 citations as recorded by crossref.
- Dampening effect of global flows on Rayleigh–Taylor instabilities: implications for deep-mantle plumes vis-à-vis hotspot distributions A. Roy et al. https://doi.org/10.1093/gji/ggad414
- A Pointwise Conservative Method for Thermochemical Convection Under the Compressible Anelastic Liquid Approximation N. Sime et al. https://doi.org/10.1029/2021GC009922
- Modeling Multi‐Material Structural Patterns in Tectonic Flow With a Discontinuous Galerkin Level Set Method Q. Wú et al. https://doi.org/10.1029/2023JB026806
- Dynamic weakening with grain-damage and implications for slab detachment A. Bellas et al. https://doi.org/10.1016/j.pepi.2018.09.001
- Models of convection and segregation in heterogeneous partially molten crustal roots with a VOF method – I: flow regimes A. Louis–Napoléon et al. https://doi.org/10.1093/gji/ggab510
- Bending curvatures of subducting plates: old versus young slabs R. Dasgupta et al. https://doi.org/10.1093/gji/ggab070
- 3-D numerical modelling of crustal polydiapirs with volume-of-fluid methods A. Louis-Napoléon et al. https://doi.org/10.1093/gji/ggaa141
- Towards automatic finite-element methods for geodynamics via Firedrake D. Davies et al. https://doi.org/10.5194/gmd-15-5127-2022
- A free surface capturing discretization for the staggered grid finite difference scheme T. Duretz et al. https://doi.org/10.1093/gji/ggv526
- Stability and accuracy of free surface time integration in viscous flows I. Rose et al. https://doi.org/10.1016/j.pepi.2016.11.007
- An Exactly Mass Conserving and Pointwise Divergence Free Velocity Method: Application to Compositional Buoyancy Driven Flow Problems in Geodynamics N. Sime et al. https://doi.org/10.1029/2020GC009349
- Nonlinear viscoplasticity in ASPECT: benchmarking and applications to subduction A. Glerum et al. https://doi.org/10.5194/se-9-267-2018
- Constraining subducting slab viscosity with topography and gravity fields in free-surface mantle convection models L. Deng et al. https://doi.org/10.1016/j.tecto.2023.230195
- Manufacturing an Exact Solution for 2D Thermochemical Mantle Convection Models S. Trim et al. https://doi.org/10.1029/2022GC010807
- Improving Mass Conservation With the Tracer Ratio Method: Application to Thermochemical Mantle Flows S. Trim et al. https://doi.org/10.1029/2019GC008799
- 101 geodynamic modelling: how to design, interpret, and communicate numerical studies of the solid Earth I. van Zelst et al. https://doi.org/10.5194/se-13-583-2022
- A level-set method for imaging salt structures using gravity data W. Li et al. https://doi.org/10.1190/geo2015-0295.1
Saved (final revised paper)
Latest update: 01 Jun 2026
Short summary
Our paper demonstrates that the level set method is a viable method for material tracking in multi-material flow models. The different benchmarks illustate several advantages that the level set method provides over tracer-based methods. We therefore conclude that the level set method is well suited for geodynamical modeling.
Our paper demonstrates that the level set method is a viable method for material tracking in...
