Modelling tectonic flow with discontinuous Galerkin level set method: Case studies and applications for the Neoarchean crustal dynamics Article Swipe
Qǐháng Wú
,
Shoufa Lin
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.5194/egusphere-egu23-10353
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.5194/egusphere-egu23-10353
We present a new numerical method to simulate the structural patterns emerging from the long-term large-deformation tectonic flows in both two and three spatial dimensions. The domains of different material properties are each represented by a level set function discretized on a Eulerian mesh with the discontinuous Galerkin method. The level sets are advected by a velocity field provided by a coupled Stokes flow solver. Our method accurately captures the material interface by the adaptive mesh refinement, reduces the computational expenses compared to the traditional particle-in-cell method and offers straightforward handling of geometric splitting and merging. Under the unified finite element framework, our method promises the flexibility in the choice of mesh geometry as well as the potential for extending to complex rheology. With passive tracers geat and around areas of interest, the finite strain of the flow field can be integrated through any time interval within the total simulation time. The strain ellipsoids thus obtained offers the possibility for ground-truthing the simulated deformation patterns with the field structural analysis. Our results demonstrate identical physical behaviour when compared with established structural geology and geodynamic benchmarks.The style of the crustal dynamics on the Archean Earth has been subject to controversy on whether a vertical tectonic style in the form of Rayleigh-Taylor instability, induced by an inverted density profile, prevails in the early history of the Earth and if so, how the transition to the present-day plate tectonics, characterized by dominantly horizontal movement, is manifested in the rock record. Equipped with our modelling scheme, we construct numerical models to simulate the lithological distributions and deformation patterns resulted from a synchronous operation of vertical tectonism and horizontal shearing. The latter can be viewed as a possible result of some far-field tectonic boundary condition (e.g. oblique convergence). Many aspects of the simulation in terms of the map pattern, foliation/lineation trend and strain distribution compare favorably with the field observations in Neoarchean granitoid-greenstone terranes in the Superior Province as well as worldwide. Therefore, it is concluded that the vertical and horizontal tectonism are not mutually exclusive tectonic regimes The symbiosis of both tectonic processes is a viable mechanism for establishing the crustal architecture and the deformation pattern we see today in many Neoarchean terranes and might represent a transition from the former to the latter in the Neoarchean.
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- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.5194/egusphere-egu23-10353
- OA Status
- gold
- Cited By
- 1
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4321995744
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Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4321995744Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.5194/egusphere-egu23-10353Digital Object Identifier
- Title
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Modelling tectonic flow with discontinuous Galerkin level set method: Case studies and applications for the Neoarchean crustal dynamicsWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-02-26Full publication date if available
- Authors
-
Qǐháng Wú, Shoufa LinList of authors in order
- Landing page
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https://doi.org/10.5194/egusphere-egu23-10353Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
- OA URL
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https://doi.org/10.5194/egusphere-egu23-10353Direct OA link when available
- Concepts
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Geology, Finite element method, Galerkin method, Adaptive mesh refinement, Discretization, Level set method, Flow (mathematics), Geophysics, Geometry, Computer science, Mathematics, Physics, Mathematical analysis, Computational science, Segmentation, Thermodynamics, Image segmentation, Artificial intelligenceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.possible | 282 |
| abstract_inverted_index.prevails | 217 |
| abstract_inverted_index.profile, | 216 |
| abstract_inverted_index.promises | 104 |
| abstract_inverted_index.provided | 58 |
| abstract_inverted_index.resulted | 264 |
| abstract_inverted_index.simulate | 7, 257 |
| abstract_inverted_index.tectonic | 16, 203, 287, 341, 347 |
| abstract_inverted_index.terranes | 318, 368 |
| abstract_inverted_index.velocity | 56 |
| abstract_inverted_index.vertical | 202, 270, 333 |
| abstract_inverted_index.behaviour | 175 |
| abstract_inverted_index.concluded | 330 |
| abstract_inverted_index.condition | 289 |
| abstract_inverted_index.construct | 253 |
| abstract_inverted_index.different | 28 |
| abstract_inverted_index.exclusive | 340 |
| abstract_inverted_index.extending | 119 |
| abstract_inverted_index.far-field | 286 |
| abstract_inverted_index.favorably | 310 |
| abstract_inverted_index.geometric | 92 |
| abstract_inverted_index.identical | 173 |
| abstract_inverted_index.interest, | 131 |
| abstract_inverted_index.interface | 71 |
| abstract_inverted_index.long-term | 14 |
| abstract_inverted_index.mechanism | 352 |
| abstract_inverted_index.modelling | 250 |
| abstract_inverted_index.movement, | 240 |
| abstract_inverted_index.numerical | 4, 254 |
| abstract_inverted_index.operation | 268 |
| abstract_inverted_index.potential | 117 |
| abstract_inverted_index.processes | 348 |
| abstract_inverted_index.represent | 371 |
| abstract_inverted_index.shearing. | 274 |
| abstract_inverted_index.simulated | 162 |
| abstract_inverted_index.splitting | 93 |
| abstract_inverted_index.symbiosis | 344 |
| abstract_inverted_index.tectonism | 271, 336 |
| abstract_inverted_index.Neoarchean | 316, 367 |
| abstract_inverted_index.Therefore, | 327 |
| abstract_inverted_index.accurately | 67 |
| abstract_inverted_index.dominantly | 238 |
| abstract_inverted_index.ellipsoids | 153 |
| abstract_inverted_index.framework, | 101 |
| abstract_inverted_index.geodynamic | 183 |
| abstract_inverted_index.horizontal | 239, 273, 335 |
| abstract_inverted_index.integrated | 141 |
| abstract_inverted_index.manifested | 242 |
| abstract_inverted_index.properties | 30 |
| abstract_inverted_index.simulation | 149, 297 |
| abstract_inverted_index.structural | 9, 168, 180 |
| abstract_inverted_index.tectonics, | 235 |
| abstract_inverted_index.transition | 230, 373 |
| abstract_inverted_index.Neoarchean. | 382 |
| abstract_inverted_index.controversy | 198 |
| abstract_inverted_index.deformation | 163, 262, 360 |
| abstract_inverted_index.demonstrate | 172 |
| abstract_inverted_index.discretized | 39 |
| abstract_inverted_index.established | 179 |
| abstract_inverted_index.flexibility | 106 |
| abstract_inverted_index.possibility | 158 |
| abstract_inverted_index.present-day | 233 |
| abstract_inverted_index.refinement, | 76 |
| abstract_inverted_index.represented | 33 |
| abstract_inverted_index.synchronous | 267 |
| abstract_inverted_index.traditional | 84 |
| abstract_inverted_index.architecture | 357 |
| abstract_inverted_index.distribution | 308 |
| abstract_inverted_index.establishing | 354 |
| abstract_inverted_index.instability, | 210 |
| abstract_inverted_index.lithological | 259 |
| abstract_inverted_index.observations | 314 |
| abstract_inverted_index.characterized | 236 |
| abstract_inverted_index.computational | 79 |
| abstract_inverted_index.discontinuous | 46 |
| abstract_inverted_index.distributions | 260 |
| abstract_inverted_index.benchmarks.The | 184 |
| abstract_inverted_index.Rayleigh-Taylor | 209 |
| abstract_inverted_index.ground-truthing | 160 |
| abstract_inverted_index.straightforward | 89 |
| abstract_inverted_index.time.  | 150 |
| abstract_inverted_index.particle-in-cell | 85 |
| abstract_inverted_index.large-deformation | 15 |
| abstract_inverted_index.record.  | 246 |
| abstract_inverted_index.regimes  | 342 |
| abstract_inverted_index.merging.  | 95 |
| abstract_inverted_index.analysis.  | 169 |
| abstract_inverted_index.foliation/lineation | 304 |
| abstract_inverted_index.rheology.  | 122 |
| abstract_inverted_index.granitoid-greenstone | 317 |
| abstract_inverted_index.worldwide.  | 326 |
| abstract_inverted_index.dimensions.  | 24 |
| abstract_inverted_index.convergence).  | 292 |
| cited_by_percentile_year.max | 95 |
| cited_by_percentile_year.min | 91 |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.45754222 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |