Articles | Volume 15, issue 14
https://doi.org/10.5194/gmd-15-5757-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-15-5757-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Development and technical paper
| 
25 Jul 2022
Development and technical paper |
| 25 Jul 2022
| 25 Jul 2022
Assessing the robustness and scalability of the accelerated pseudo-transient method
Laboratory of Hydraulics, Hydrology and Glaciology (VAW), ETH Zurich, Zurich, Switzerland
Swiss Federal Institute for Forest, Snow and Landscape Research (WSL), Birmensdorf, Switzerland
Ivan Utkin
Laboratory of Hydraulics, Hydrology and Glaciology (VAW), ETH Zurich, Zurich, Switzerland
Swiss Federal Institute for Forest, Snow and Landscape Research (WSL), Birmensdorf, Switzerland
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
Thibault Duretz
Institut für Geowissenschaften, Goethe‐Universität Frankfurt, Frankfurt, Germany
Univ. Rennes, CNRS, Géosciences Rennes UMR 6118, 35000 Rennes, France
Samuel Omlin
Swiss National Supercomputing Centre (CSCS), ETH Zurich, Lugano, Switzerland
Yuri Y. Podladchikov
Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
Institute of Earth Sciences, University of Lausanne, Lausanne, Switzerland
Swiss Geocomputing Centre, University of Lausanne, Lausanne, Switzerland
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Cited
28 citations as recorded by crossref.
- Large-scale rheological and tectonic effects of localized garnet breakdown: a case from the Pannonian Basin K. Porkoláb et al.
- Modelling of Multicomponent Fluid Flow in Deforming and Reacting Porous Rock L. Khakimova & Y. Podladchikov
- Eclogitisation of dry and impermeable granulite by fluid flow with reaction-induced porosity: Insights from hydro-chemical modelling E. Bras et al.
- Fluid-mineral Equilibrium Under Nonhydrostatic Stress: Insight From Molecular Dynamics M. Mazzucchelli et al.
- Snapshot and time-dependent inversions of basal sliding using automatic generation of adjoint code on graphics processing units I. Utkin et al.
- Modeling of Characteristics of Complex Microstructure and Heterogeneity at the Core Scale Y. Chen & P. Dong
- A Comparison of Plasticity Regularization Approaches for Geodynamic Modeling T. Duretz et al.
- Accelerated pseudo-transient method for elastic, viscoelastic, and coupled hydromechanical problems with applications Y. Alkhimenkov & Y. Podladchikov
- Serpentinite Dehydration and Olivine Vein Formation During Ductile Shearing: Insights From 2D Numerical Modeling on Porosity Generation, Density Variations, and Transient Weakening S. Schmalholz et al.
- Stress drop sequences in the simplest pressure-sensitive ideal elasto-plastic media: implications for earthquake cycles Y. Alkhimenkov et al.
- Quantifying Diapir Ascent Velocities in Power‐Law Viscous Rock Under Far‐Field Stress: Integrating Analytical Estimates, 3D Numerical Calculations and Geodynamic Applications E. Macherel et al.
- JustRelax.jl: A Julia package for geodynamic modeling with matrix-free solvers A. de Montserrat et al.
- The effects of aperture position and length in side-vented needles on root canal irrigation: A computational fluid dynamics study Y. Dai et al.
- Digital rock physics: Calculation of effective elastic properties of heterogeneous materials using graphical processing units (GPUs) Y. Alkhimenkov
- A high-performance backend-agnostic Material Point Method solver in Julia Z. Huo et al.
- Hydromechanical impact of basement rock on injection-induced seismicity in Illinois Basin N. Bondarenko et al.
- Zircon age spectra to quantify magma evolution A. Schmitt et al.
- Validating a GPU elastodynamic solver for anisotropic seismic wave propagation: application to a Swiss earthquake, explosion and collapse sources C. Alvizuri et al.
- Simulating squirt flow in realistic rock models using graphical processing units (GPUs) Y. Alkhimenkov
- Overcoming the numerical challenges owing to rapid ductile localization with DEDLoc (version 1.0.0) A. Spang et al.
- Direct numerical simulations for hybrid rocket boundary layers: Performance modeling and scaling K. Retfalvi et al.
- High-resolution GPU-based simulations of quasi-static poroelasticity: seismic attenuation and modulus dispersion in three-dimensional stochastic fracture networks Y. Alkhimenkov
- A unified numerical model for two-phase porous, mush and suspension flow dynamics in magmatic systems Y. Wong & T. Keller
- Graphics-processing-unit-accelerated ice flow solver for unstructured meshes using the Shallow-Shelf Approximation (FastIceFlo v1.0.1) A. Sandip et al.
- Retentiveness of rare earth elements in garnet with implications for garnet Lu‐Hf chronology M. Smit et al.
- High-performance xPU Stencil Computations in Julia S. Omlin & L. Räss
- Modeling Multicomponent Fluid Flow in Deforming and Reacting Porous Rock L. Khakimova & Y. Podladchikov
- Face‐centred finite volume methods for Stokes flows with variable viscosity R. Sevilla & T. Duretz
28 citations as recorded by crossref.
- Large-scale rheological and tectonic effects of localized garnet breakdown: a case from the Pannonian Basin K. Porkoláb et al.
- Modelling of Multicomponent Fluid Flow in Deforming and Reacting Porous Rock L. Khakimova & Y. Podladchikov
- Eclogitisation of dry and impermeable granulite by fluid flow with reaction-induced porosity: Insights from hydro-chemical modelling E. Bras et al.
- Fluid-mineral Equilibrium Under Nonhydrostatic Stress: Insight From Molecular Dynamics M. Mazzucchelli et al.
- Snapshot and time-dependent inversions of basal sliding using automatic generation of adjoint code on graphics processing units I. Utkin et al.
- Modeling of Characteristics of Complex Microstructure and Heterogeneity at the Core Scale Y. Chen & P. Dong
- A Comparison of Plasticity Regularization Approaches for Geodynamic Modeling T. Duretz et al.
- Accelerated pseudo-transient method for elastic, viscoelastic, and coupled hydromechanical problems with applications Y. Alkhimenkov & Y. Podladchikov
- Serpentinite Dehydration and Olivine Vein Formation During Ductile Shearing: Insights From 2D Numerical Modeling on Porosity Generation, Density Variations, and Transient Weakening S. Schmalholz et al.
- Stress drop sequences in the simplest pressure-sensitive ideal elasto-plastic media: implications for earthquake cycles Y. Alkhimenkov et al.
- Quantifying Diapir Ascent Velocities in Power‐Law Viscous Rock Under Far‐Field Stress: Integrating Analytical Estimates, 3D Numerical Calculations and Geodynamic Applications E. Macherel et al.
- JustRelax.jl: A Julia package for geodynamic modeling with matrix-free solvers A. de Montserrat et al.
- The effects of aperture position and length in side-vented needles on root canal irrigation: A computational fluid dynamics study Y. Dai et al.
- Digital rock physics: Calculation of effective elastic properties of heterogeneous materials using graphical processing units (GPUs) Y. Alkhimenkov
- A high-performance backend-agnostic Material Point Method solver in Julia Z. Huo et al.
- Hydromechanical impact of basement rock on injection-induced seismicity in Illinois Basin N. Bondarenko et al.
- Zircon age spectra to quantify magma evolution A. Schmitt et al.
- Validating a GPU elastodynamic solver for anisotropic seismic wave propagation: application to a Swiss earthquake, explosion and collapse sources C. Alvizuri et al.
- Simulating squirt flow in realistic rock models using graphical processing units (GPUs) Y. Alkhimenkov
- Overcoming the numerical challenges owing to rapid ductile localization with DEDLoc (version 1.0.0) A. Spang et al.
- Direct numerical simulations for hybrid rocket boundary layers: Performance modeling and scaling K. Retfalvi et al.
- High-resolution GPU-based simulations of quasi-static poroelasticity: seismic attenuation and modulus dispersion in three-dimensional stochastic fracture networks Y. Alkhimenkov
- A unified numerical model for two-phase porous, mush and suspension flow dynamics in magmatic systems Y. Wong & T. Keller
- Graphics-processing-unit-accelerated ice flow solver for unstructured meshes using the Shallow-Shelf Approximation (FastIceFlo v1.0.1) A. Sandip et al.
- Retentiveness of rare earth elements in garnet with implications for garnet Lu‐Hf chronology M. Smit et al.
- High-performance xPU Stencil Computations in Julia S. Omlin & L. Räss
- Modeling Multicomponent Fluid Flow in Deforming and Reacting Porous Rock L. Khakimova & Y. Podladchikov
- Face‐centred finite volume methods for Stokes flows with variable viscosity R. Sevilla & T. Duretz
Saved (final revised paper)
Latest update: 28 Apr 2026
Short summary
Continuum mechanics-based modelling of physical processes at large scale requires huge computational resources provided by massively parallel hardware such as graphical processing units. We present a suite of numerical algorithms, implemented using the Julia language, that efficiently leverages the parallelism. We demonstrate that our implementation is efficient, scalable and robust and showcase applications to various geophysical problems.
Continuum mechanics-based modelling of physical processes at large scale requires huge...
