Cao, Zebin; Liu, Lijun (2026) Advances and perspectives in numerical modeling for geodynamics. Science China Earth Sciences, 69 (3). doi:10.1007/s11430-025-1791-3
| Reference Type | Journal (article/letter/editorial) | ||
|---|---|---|---|
| Title | Advances and perspectives in numerical modeling for geodynamics | ||
| Journal | Science China Earth Sciences | ||
| Authors | Cao, Zebin | Author | |
| Liu, Lijun | Author | ||
| Year | 2026 (March) | Volume | 69 |
| Issue | 3 | ||
| Publisher | Springer Science and Business Media LLC | ||
| DOI | doi:10.1007/s11430-025-1791-3Search in ResearchGate | ||
| Generate Citation Formats | |||
| Mindat Ref. ID | 19686483 | Long-form Identifier | mindat:1:5:19686483:1 |
| GUID | 0 | ||
| Full Reference | Cao, Zebin; Liu, Lijun (2026) Advances and perspectives in numerical modeling for geodynamics. Science China Earth Sciences, 69 (3). doi:10.1007/s11430-025-1791-3 | ||
| Plain Text | Cao, Zebin; Liu, Lijun (2026) Advances and perspectives in numerical modeling for geodynamics. Science China Earth Sciences, 69 (3). doi:10.1007/s11430-025-1791-3 | ||
| In | (2026, March) Science China Earth Sciences Vol. 69 (3). Springer Science and Business Media LLC | ||
References Listed
These are the references the publisher has listed as being connected to the article. Please check the article itself for the full list of references which may differ. Not all references are currently linkable within the Digital Library.
![]() | |
![]() | |
| Alisic L, Gurnis M, Stadler G, et al. 2012. Multi-scale dynamics and rheology of mantle flow with plates. J Geophys Res, 117: B10402 | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Balay S, Abhyankar S, Adams M F, et al. 2025. PETSc Users Manual, Tech. Rep. ANL-95/11-Revision 3.23, Argonne National Laboratory | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: - journal-article : 10.1111/j.1751-5823.2003.tb00194.x If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Boussinesq J. 1897. Théorie de l’écoulmnent tourbillonnant et tumultuex des liquides dans les lits rectilignes à grande section (Vol. 1). Gauthier-Villars | |
![]() | |
![]() | |
| Not Yet Imported: - journal-article : 10.1144/jgs2022-050 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | Bunge, Hans-Peter, Hagelberg, C. R., Travis, B. J. (2003) Mantle circulation models with variational data assimilation: inferring past mantle flow and structure from plate motion histories and seismic tomography. Geophysical Journal International, 152 (2) 280-301 doi:10.1046/j.1365-246x.2003.01823.x |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | Clennett, Edward J., Sigloch, Karin, Mihalynuk, Mitchell G., Seton, Maria, Henderson, Martha A., Hosseini, Kasra, Mohammadzaheri, Afsaneh, Johnston, Stephen T., Müller, R. Dietmar (2020) A Quantitative Tomotectonic Plate Reconstruction of Western North America and the Eastern Pacific Basin. Geochemistry, Geophysics, Geosystems, 21 (8). doi:10.1029/2020gc009117 |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | Corti, Giacomo, Bonini, Marco, Conticelli, Sandro, Innocenti, Fabrizio, Manetti, Piero, Sokoutis, Dimitrios (2003) Analogue modelling of continental extension: a review focused on the relations between the patterns of deformation and the presence of magma. Earth-Science Reviews, 63 (3) 169-247 doi:10.1016/s0012-8252(03)00035-7 |
![]() | Crameri, F., Schmeling, H., Golabek, G. J., Duretz, T., Orendt, R., Buiter, S. J. H., May, D. A., Kaus, B. J. P., Gerya, T. V., Tackley, P. J. (2012) A comparison of numerical surface topography calculations in geodynamic modelling: an evaluation of the ‘sticky air’ method. Geophysical Journal International, 189 (1) 38-54 doi:10.1111/j.1365-246x.2012.05388.x |
![]() | |
![]() | Curbelo, Jezabel, Duarte, Lucia, Alboussière, Thierry, Dubuffet, Fabien, Labrosse, Stéphane, Ricard, Yanick (2019) Numerical solutions of compressible convection with an infinite Prandtl number: comparison of the anelastic and anelastic liquid models with the exact equations. Journal of Fluid Mechanics, 873. 646-687 doi:10.1017/jfm.2019.420 |
![]() | |
| Not Yet Imported: - journal-article : 10.1038/s43247-020-00052-z If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | Dannberg, Juliane, Gassmöller, Rene, Li, Ranpeng, Lithgow-Bertelloni, Carolina, Stixrude, Lars (2022) An entropy method for geodynamic modelling of phase transitions: capturing sharp and broad transitions in a multiphase assemblage. Geophysical Journal International, 231 (3) 1833-1849 doi:10.1093/gji/ggac293 |
| Dannberg J, Gassmöller R, Thallner D, et al. 2024. Changes in core-mantle boundary heat flux patterns throughout the supercontinent cycle. Geophys J Int, 237, doi: https://doi.org/10.48550/arXiv.2310.03229 | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | Deng, Xin, Xu, Yinhan, Hao, Shangqin, Ruan, Youyi, Zhao, Yajie, Wang, Wenzhong, Ni, Sidao, Wu, Zhongqing (2023) Compositional and thermal state of the lower mantle from joint 3D inversion with seismic tomography and mineral elasticity. Proceedings of the National Academy of Sciences, 120 (26) doi:10.1073/pnas.2220178120 |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: Earth and Planetary Physics - journal-article : 10.26464/epp2024021 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
| Not Yet Imported: - journal-article : 10.1090/qam/48291 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Gerya T. 2019. Numerical Geodynamics Modeling, 2nd ed. Cambridge: Cambridge University Press | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | Ghiorso, Mark S., Hirschmann, Marc M., Reiners, Peter W., Kress, Victor C. (2002) The pMELTS: A revision of MELTS for improved calculation of phase relations and major element partitioning related to partial melting of the mantle to 3 GPa. Geochemistry, Geophysics, Geosystems, 3 (5) 1-35 doi:10.1029/2001gc000217 |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: ACM Transactions on Mathematical Software - journal-article : 10.1145/1089014.1089021 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
| Hess H H. 1962. History of ocean basins. In: Engel A E J, James H L, Leonard B F, eds. Petrologic Studies: A V olume in Honor of A.F. Buddington. Geological Society of America. 599–620 | |
![]() | |
| Hirth G, Kohlstedt D. 2003. Rheology of the upper mantle and the mantle wedge: A view from the experimentalists. Geophys Monogr-Amer Geophys Union, 138: 83–106 | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: Earth and Planetary Physics - journal-article : 10.26464/epp2018019 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: - journal-article : 10.1016/j.ijheatfluidflow.2008.05.002 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
| Not Yet Imported: - monograph : 10.1017/CBO9780511780820 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: - journal-article : 10.1093/petrology/Special_Volume.1.11 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
| Kalnay E. 2003. Atmospheric Modeling, Data Assimilation and Predictability. Cambridge: Cambridge University Press | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Kaus B J, Popov A A, Baumann T, et al. 2016. Forward and inverse modelling of lithospheric deformation on geological timescales. In: Proceedings of Nic Symposium. John von Neumann Institute for Computing (NIC), NIC Series. 978–983 | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: Communications Earth & Environment - journal-article : 10.1038/s43247-021-00139-1 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Lenardic A, Moresi L N, Mühlhaus H. 2003. Longevity and stability of cratonic lithosphere: Insights from numerical simulations of coupled mantle convection and continental tectonics. J Geophys Res, 108: 2303 | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | Li, Ranpeng, Dannberg, Juliane, Gassmöller, Rene, Lithgow‐Bertelloni, Carolina, Stixrude, Lars (2025) How Phase Transitions Impact Changes in Mantle Convection Style Throughout Earth's History: From Stalled Plumes to Surface Dynamics. Geochemistry, Geophysics, Geosystems, 26 (2). doi:10.1029/2024gc011600 |
![]() | |
![]() | |
| Li Y, Liu L, Li S, et al. 2024. Cenozoic India-Asia collision driven by mantle dragging the cratonic root. Nat Commun, 15: 6674 | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | Liu, Jinping, Li, Sanzhong, Cao, Xianzhi, Dong, Hao, Suo, Yanhui, Jiang, Zhaoxia, Zhou, Jie, Li, Xiyao, Zhang, Ruixin, Liu, Lijun, Foulger, Gillian Rose (2023) Back‐Arc Tectonics and Plate Reconstruction of the Philippine Sea‐South China Sea Region Since the Eocene. Geophysical Research Letters, 50 (5) doi:10.1029/2022gl102154 |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: - journal-article : 10.1038/s43247-024-01263-4 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
| Liu L, Chen L, Cao Z, et al. 2025. Periodic instability and restoration of cratonic lithosphere. Natl Sci Rev, 12: nwaf027 | |
![]() | |
![]() | Liu, Y., Weerts, A. H., Clark, M., Hendricks Franssen, H.-J., Kumar, S., Moradkhani, H., Seo, D.-J., Schwanenberg, D., Smith, P., van Dijk, A. I. J. M., van Velzen, N., He, M., Lee, H., Noh, S. J., Rakovec, O., Restrepo, P. (2012) Advancing data assimilation in operational hydrologic forecasting: progresses, challenges, and emerging opportunities. Hydrology and Earth System Sciences, 16 (10) 3863-3887 doi:10.5194/hess-16-3863-2012 |
![]() | Ma, Jincheng, Song, Xiaodong, Bunge, Hans-Peter, Fichtner, Andreas, Tian, You (2025) Wholesale flat subduction of the Indian slab and northward mantle convective flow: Plateau growth and driving force of the India–Asia collision. Proceedings of the National Academy of Sciences, 122 (7). doi:10.1073/pnas.2411776122 |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: - journal-article : 10.1016/j.cma.2015.03.014 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | Merdith, Andrew S., Williams, Simon E., Collins, Alan S., Tetley, Michael G., Mulder, Jacob A., Blades, Morgan L., Young, Alexander, Armistead, Sheree E., Cannon, John, Zahirovic, Sabin, Müller, R. Dietmar (2021) Extending full-plate tectonic models into deep time: Linking the Neoproterozoic and the Phanerozoic. Earth-Science Reviews, 214. 103477pp. doi:10.1016/j.earscirev.2020.103477 |
![]() | |
![]() | |
![]() | |
![]() | |
| Mora P, Morra G, Yuen D A. 2023. Models of plate tectonics with the Lattice Boltzmann Method. Artificial Intell Geosci, 4: 47–58 | |
| Not Yet Imported: - journal-article : 10.1063/1.868465 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
| Morgan G T, Davies J H, Myhill R, et al. 2025. On the global geodynamic consequences of different phase boundary morphologies. Solid Earth, 16: 297–314 | |
![]() | |
| Morgan W J. 1972. Deep mantle convection plumes and plate motions. AAPG Bull, 56: 203–213 | |
![]() | |
![]() | |
![]() | |
![]() | Müller, R. Dietmar, Seton, Maria, Zahirovic, Sabin, Williams, Simon E., Matthews, Kara J., Wright, Nicky M., Shephard, Grace E., Maloney, Kayla T., Barnett-Moore, Nicholas, Hosseinpour, Maral, Bower, Dan J., Cannon, John (2016) Ocean Basin Evolution and Global-Scale Plate Reorganization Events Since Pangea Breakup. Annual Review of Earth and Planetary Sciences, 44. 107-138 doi:10.1146/annurev-earth-060115-012211 |
![]() | Müller, R. Dietmar, Zahirovic, Sabin, Williams, Simon E., Cannon, John, Seton, Maria, Bower, Dan J., Tetley, Michael G., Heine, Christian, Le Breton, Eline, Liu, Shaofeng, Russell, Samuel H. J., Yang, Ting, Leonard, Jonathon, Gurnis, Michael (2019) A Global Plate Model Including Lithospheric Deformation Along Major Rifts and Orogens Since the Triassic. Tectonics, 38 (6). 1884-1907 doi:10.1029/2018tc005462 |
![]() | |
![]() | Nakagawa, Takashi, Tackley, Paul J., Deschamps, Frederic, Connolly, James A. D. (2009) Incorporating self-consistently calculated mineral physics into thermochemical mantle convection simulations in a 3-D spherical shell and its influence on seismic anomalies in Earth's mantle. Geochemistry, Geophysics, Geosystems, 10 (3) doi:10.1029/2008gc002280 |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: Journal of Petrology - journal-article : 10.1093/petrology/egaa067 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
| Pantakar S V. 1980. Numerical Heat Transfer and Fluid Flow. New York: Hemisphere Publishing | |
| Not Yet Imported: - journal-article : 10.1063/1.870267 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: - journal-article : 10.1126/sciadv.aaz8681 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
| Not Yet Imported: - monograph : 10.1017/9781316795897 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
| Not Yet Imported: - book-chapter : 10.1016/B978-0-444-53802-4.00127-5 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Sandwell D T. 2022. Advanced Geodynamics: The Fourier Transform Method. Cambridge: Cambridge University Press | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | Schmeling, H., Babeyko, A.Y., Enns, A., Faccenna, C., Funiciello, F., Gerya, T., Golabek, G.J., Grigull, S., Kaus, B.J.P., Morra, G., Schmalholz, S.M., van Hunen, J. (2008) A benchmark comparison of spontaneous subduction models—Towards a free surface. Physics of the Earth and Planetary Interiors, 171 (1). 198-223 doi:10.1016/j.pepi.2008.06.028 |
| Not Yet Imported: - monograph : 10.1017/CBO9780511612879 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
| Not Yet Imported: ACM Transactions on Mathematical Software - journal-article : 10.1145/3524456 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: - journal-article : 10.1038/s43017-019-0005-6 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: - edited-book : 10.1093/oso/9780199592357.001.0001 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Not Yet Imported: - monograph : 10.1017/CBO9780511843877 If you would like this item imported into the Digital Library, please contact us quoting Journal ID | |
| Versteeg H K, Malalasekera W. 2007. An Introduction to Computational Fluid Dynamics: The Finite Volume Method, 2nd ed. Harlow: Pearson Education Limited | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | Wang, Yaoyi, Cao, Zebin, Peng, Lihang, Liu, Lijun, Chen, Ling, Lundstrom, Craig, Peng, Diandian, Yang, Xiaotao (2023) Secular craton evolution due to cyclic deformation of underlying dense mantle lithosphere. Nature Geoscience, 16 (7) Springer Science and Business Media LLC. 637-645 doi:10.1038/s41561-023-01203-5 |
![]() | |
| Wilson A J, Davies C J, Walker A M, et al. 2025. The formation and evolution of the Earth’s inner core. Nat Rev Earth Environ, 6: 140–154 | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | Yuan, Qian, Li, Mingming, Desch, Steven J., Ko, Byeongkwan, Deng, Hongping, Garnero, Edward J., Gabriel, Travis S. J., Kegerreis, Jacob A., Miyazaki, Yoshinori, Eke, Vincent, Asimow, Paul D. (2023) Moon-forming impactor as a source of Earth’s basal mantle anomalies. Nature, 623 (7985) 95-99 doi:10.1038/s41586-023-06589-1 |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
| Zhong S, Yuen D A, Moresi L N, et al. 2015. Numerical methods for mantle convection. In: Schubert G, ed. Treatise on Geophysics, 2nd ed. 7: 227–252 | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
![]() | |
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