Articles | Volume 6, issue 4
https://doi.org/10.5194/gmd-6-1095-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-6-1095-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Development and technical paper
| 
31 Jul 2013
Development and technical paper |
| 31 Jul 2013
A hierarchical mesh refinement technique for global 3-D spherical mantle convection modelling
D. R. Davies
Department of Earth Science & Engineering, Imperial College London, London, UK
Research School of Earth Sciences, The Australian National University, Canberra, Australia
J. H. Davies
Department of Earth & Ocean Sciences, Cardiff University, Cardiff, Wales, UK
P. C. Bollada
Institute for Materials Research, Faculty of Engineering, Leeds University, Leeds, UK
O. Hassan
Civil and Computational Engineering Centre, School of Engineering, Swansea University, Swansea, Wales, UK
K. Morgan
Civil and Computational Engineering Centre, School of Engineering, Swansea University, Swansea, Wales, UK
P. Nithiarasu
Civil and Computational Engineering Centre, School of Engineering, Swansea University, Swansea, Wales, UK
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34 citations as recorded by crossref.
- Deep and surface driving forces that shape the Earth: Insights from the evolution of the northern South China sea margin S. Bukhari et al. https://doi.org/10.1016/j.gr.2022.05.005
- Constraints on the presence of post-perovskite in Earth's lowermost mantle from tomographic-geodynamic model comparisons P. Koelemeijer et al. https://doi.org/10.1016/j.epsl.2018.04.056
- Analytical solutions for mantle flow in cylindrical and spherical shells S. Kramer et al. https://doi.org/10.5194/gmd-14-1899-2021
- A benchmark study of incompressible Stokes flow in a 3-D spherical shell using ASPECT S. Liu & S. King https://doi.org/10.1093/gji/ggz036
- How to assess similarities and differences between mantle circulation models and Earth using disparate independent observations J. Davies et al. https://doi.org/10.1098/rspa.2024.0827
- GHOST: Geoscientific Hollow Sphere Tessellation C. Thieulot https://doi.org/10.5194/se-9-1169-2018
- Geodynamic processes control sediment routing: Insight from the Earth surface evolution of the northern South China Sea margin and SE Tibetan Plateau S. Bukhari et al. https://doi.org/10.1016/j.jseaes.2023.105555
- Inferences of Mantle Viscosity Based on Ice Age Data Sets: The Bias in Radial Viscosity Profiles Due to the Neglect of Laterally Heterogeneous Viscosity Structure H. Lau et al. https://doi.org/10.1029/2018JB015740
- Retrodictions of Mid Paleogene mantle flow and dynamic topography in the Atlantic region from compressible high resolution adjoint mantle convection models: Sensitivity to deep mantle viscosity and tomographic input model L. Colli et al. https://doi.org/10.1016/j.gr.2017.04.027
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- Reconciling surface deflections from simulations of global mantle convection C. O'Malley et al. https://doi.org/10.5194/gmd-17-9023-2024
- Pressure‐Driven Poiseuille Flow: A Major Component of the Torque‐Balance Governing Pacific Plate Motion I. Stotz et al. https://doi.org/10.1002/2017GL075697
- Plate tectonic modelling: review and perspectives C. VÉRARD https://doi.org/10.1017/S0016756817001030
- Predictions of asthenosphere flow from Couette/Poiseuille models compared to seismic anisotropy and mantle circulation models I. Stotz https://doi.org/10.1098/rspa.2025.0085
- Whole-mantle convection with tectonic plates preserves long-term global patterns of upper mantle geochemistry T. Barry et al. https://doi.org/10.1038/s41598-017-01816-y
- Towards integrating tomographic resolution and uncertainty information into geodynamic mantle flow reconstructions R. Freissler et al. https://doi.org/10.1098/rspa.2025.0670
- Earth’s multi-scale topographic response to global mantle flow D. Davies et al. https://doi.org/10.1038/s41561-019-0441-4
- Global mantle flow retrodictions for the early Cenozoic using an adjoint method: evolving dynamic topographies, deep mantle structures, flow trajectories and sublithospheric stresses S. Ghelichkhan et al. https://doi.org/10.1093/gji/ggab108
- A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids N. Kohl et al. https://doi.org/10.1137/21M1402510
- Large-scale simulation of mantle convection based on a new matrix-free approach S. Bauer et al. https://doi.org/10.1016/j.jocs.2018.12.006
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- Quantitative assessment of tomographic proxies for lowermost mantle composition and mineralogy J. Leung et al. https://doi.org/10.1016/j.pepi.2025.107423
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- The Stability of Dense Oceanic Crust Near the Core‐Mantle Boundary J. Panton et al. https://doi.org/10.1029/2022JB025610
- First-order global stress patterns inferred from upper mantle flow models J. Hayek et al. https://doi.org/10.1098/rspa.2024.0969
- Towards automatic finite-element methods for geodynamics via Firedrake D. Davies et al. https://doi.org/10.5194/gmd-15-5127-2022
- Highly scalable geodynamic simulations with HyTeG P. Ilangovan et al. https://doi.org/10.5194/gmd-19-1455-2026
- Late Miocene Pacific plate kinematic change explained with coupled global models of mantle and lithosphere dynamics I. Stotz et al. https://doi.org/10.1002/2017GL073920
- Synthetic geological hiatus maps as a tool for assessing reconstructions of past dynamic topography H. Brown et al. https://doi.org/10.1098/rspa.2025.0249
- Controls on the Deep‐Water Cycle Within Three‐Dimensional Mantle Convection Models M. Price et al. https://doi.org/10.1029/2018GC008158
- Nonlinear viscoplasticity in ASPECT: benchmarking and applications to subduction A. Glerum et al. https://doi.org/10.5194/se-9-267-2018
- Pressure‐Driven Poiseuille Flow Inherited From Mesozoic Mantle Circulation Led to the Eocene Separation of Australia and Antarctica I. Stotz et al. https://doi.org/10.1029/2020JB019945
- A comparison of 3-D spherical shell thermal convection results at low to moderate Rayleigh number using ASPECT (version 2.2.0) and CitcomS (version 3.3.1) G. Euen et al. https://doi.org/10.5194/gmd-16-3221-2023
34 citations as recorded by crossref.
- Deep and surface driving forces that shape the Earth: Insights from the evolution of the northern South China sea margin S. Bukhari et al. https://doi.org/10.1016/j.gr.2022.05.005
- Constraints on the presence of post-perovskite in Earth's lowermost mantle from tomographic-geodynamic model comparisons P. Koelemeijer et al. https://doi.org/10.1016/j.epsl.2018.04.056
- Analytical solutions for mantle flow in cylindrical and spherical shells S. Kramer et al. https://doi.org/10.5194/gmd-14-1899-2021
- A benchmark study of incompressible Stokes flow in a 3-D spherical shell using ASPECT S. Liu & S. King https://doi.org/10.1093/gji/ggz036
- How to assess similarities and differences between mantle circulation models and Earth using disparate independent observations J. Davies et al. https://doi.org/10.1098/rspa.2024.0827
- GHOST: Geoscientific Hollow Sphere Tessellation C. Thieulot https://doi.org/10.5194/se-9-1169-2018
- Geodynamic processes control sediment routing: Insight from the Earth surface evolution of the northern South China Sea margin and SE Tibetan Plateau S. Bukhari et al. https://doi.org/10.1016/j.jseaes.2023.105555
- Inferences of Mantle Viscosity Based on Ice Age Data Sets: The Bias in Radial Viscosity Profiles Due to the Neglect of Laterally Heterogeneous Viscosity Structure H. Lau et al. https://doi.org/10.1029/2018JB015740
- Retrodictions of Mid Paleogene mantle flow and dynamic topography in the Atlantic region from compressible high resolution adjoint mantle convection models: Sensitivity to deep mantle viscosity and tomographic input model L. Colli et al. https://doi.org/10.1016/j.gr.2017.04.027
- Global-scale modelling of melting and isotopic evolution of Earth's mantle: melting modules for TERRA H. van Heck et al. https://doi.org/10.5194/gmd-9-1399-2016
- Reconciling surface deflections from simulations of global mantle convection C. O'Malley et al. https://doi.org/10.5194/gmd-17-9023-2024
- Pressure‐Driven Poiseuille Flow: A Major Component of the Torque‐Balance Governing Pacific Plate Motion I. Stotz et al. https://doi.org/10.1002/2017GL075697
- Plate tectonic modelling: review and perspectives C. VÉRARD https://doi.org/10.1017/S0016756817001030
- Predictions of asthenosphere flow from Couette/Poiseuille models compared to seismic anisotropy and mantle circulation models I. Stotz https://doi.org/10.1098/rspa.2025.0085
- Whole-mantle convection with tectonic plates preserves long-term global patterns of upper mantle geochemistry T. Barry et al. https://doi.org/10.1038/s41598-017-01816-y
- Towards integrating tomographic resolution and uncertainty information into geodynamic mantle flow reconstructions R. Freissler et al. https://doi.org/10.1098/rspa.2025.0670
- Earth’s multi-scale topographic response to global mantle flow D. Davies et al. https://doi.org/10.1038/s41561-019-0441-4
- Global mantle flow retrodictions for the early Cenozoic using an adjoint method: evolving dynamic topographies, deep mantle structures, flow trajectories and sublithospheric stresses S. Ghelichkhan et al. https://doi.org/10.1093/gji/ggab108
- A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids N. Kohl et al. https://doi.org/10.1137/21M1402510
- Large-scale simulation of mantle convection based on a new matrix-free approach S. Bauer et al. https://doi.org/10.1016/j.jocs.2018.12.006
- Global patterns in Earth's dynamic topography since the Jurassic: the role of subducted slabs M. Rubey et al. https://doi.org/10.5194/se-8-899-2017
- Quantitative assessment of tomographic proxies for lowermost mantle composition and mineralogy J. Leung et al. https://doi.org/10.1016/j.pepi.2025.107423
- Analytical solution for viscous incompressible Stokes flow in a spherical shell C. Thieulot https://doi.org/10.5194/se-8-1181-2017
- On the observability of epeirogenic movement in current and future gravity missions S. Ghelichkhan et al. https://doi.org/10.1016/j.gr.2017.04.016
- The Stability of Dense Oceanic Crust Near the Core‐Mantle Boundary J. Panton et al. https://doi.org/10.1029/2022JB025610
- First-order global stress patterns inferred from upper mantle flow models J. Hayek et al. https://doi.org/10.1098/rspa.2024.0969
- Towards automatic finite-element methods for geodynamics via Firedrake D. Davies et al. https://doi.org/10.5194/gmd-15-5127-2022
- Highly scalable geodynamic simulations with HyTeG P. Ilangovan et al. https://doi.org/10.5194/gmd-19-1455-2026
- Late Miocene Pacific plate kinematic change explained with coupled global models of mantle and lithosphere dynamics I. Stotz et al. https://doi.org/10.1002/2017GL073920
- Synthetic geological hiatus maps as a tool for assessing reconstructions of past dynamic topography H. Brown et al. https://doi.org/10.1098/rspa.2025.0249
- Controls on the Deep‐Water Cycle Within Three‐Dimensional Mantle Convection Models M. Price et al. https://doi.org/10.1029/2018GC008158
- Nonlinear viscoplasticity in ASPECT: benchmarking and applications to subduction A. Glerum et al. https://doi.org/10.5194/se-9-267-2018
- Pressure‐Driven Poiseuille Flow Inherited From Mesozoic Mantle Circulation Led to the Eocene Separation of Australia and Antarctica I. Stotz et al. https://doi.org/10.1029/2020JB019945
- A comparison of 3-D spherical shell thermal convection results at low to moderate Rayleigh number using ASPECT (version 2.2.0) and CitcomS (version 3.3.1) G. Euen et al. https://doi.org/10.5194/gmd-16-3221-2023
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