Articles | Volume 8, issue 4
https://doi.org/10.5194/gmd-8-1197-2015
© Author(s) 2015. 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-8-1197-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Model description paper
| 
27 Apr 2015
Model description paper |
| 27 Apr 2015
Albany/FELIX: a parallel, scalable and robust, finite element, first-order Stokes approximation ice sheet solver built for advanced analysis
I. K. Tezaur
CORRESPONDING AUTHOR
Quantitative Modeling and Analysis Department, Sandia National Laboratories, P.O. Box 969, MS 9159, Livermore, CA 94551, USA
M. Perego
Computational Mathematics Department, Sandia National Laboratories, P.O. Box 5800, MS 1320, Albuquerque, NM 87185, USA
A. G. Salinger
Computational Mathematics Department, Sandia National Laboratories, P.O. Box 5800, MS 1320, Albuquerque, NM 87185, USA
R. S. Tuminaro
Computational Mathematics Department, Sandia National Laboratories, P.O. Box 5800, MS 1320, Albuquerque, NM 87185, USA
S. F. Price
Fluid Dynamics and Solid Mechanics Group, Los Alamos National Laboratory, P.O. Box 1663, MS B216, Los Alamos, NM 87545, USA
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Cited
42 citations as recorded by crossref.
- A Matrix Dependent/Algebraic Multigrid Approach for Extruded Meshes with Applications to Ice Sheet Modeling R. Tuminaro et al. 10.1137/15M1040839
- Effect of Subshelf Melt Variability on Sea Level Rise Contribution From Thwaites Glacier, Antarctica M. Hoffman et al. 10.1029/2019JF005155
- Description and evaluation of the Community Ice Sheet Model (CISM) v2.1 W. Lipscomb et al. 10.5194/gmd-12-387-2019
- HYPERDIFFERENTIAL SENSITIVITY ANALYSIS IN THE CONTEXT OF BAYESIAN INFERENCE APPLIED TO ICE-SHEET PROBLEMS W. Reese et al. 10.1615/Int.J.UncertaintyQuantification.2023047605
- Anisotropic radial basis function methods for continental size ice sheet simulations G. Cheng & V. Shcherbakov 10.1016/j.jcp.2018.06.020
- A comparison of two Stokes ice sheet models applied to the Marine Ice Sheet Model Intercomparison Project for plan view models (MISMIP3d) T. Zhang et al. 10.5194/tc-11-179-2017
- PyAlbany: A Python interface to the C++ multiphysics solver Albany K. Liegeois et al. 10.1016/j.cam.2022.115037
- The Schwarz alternating method in solid mechanics A. Mota et al. 10.1016/j.cma.2017.02.006
- Hierarchical off-diagonal low-rank approximation of Hessians in inverse problems, with application to ice sheet model initialization T. Hartland et al. 10.1088/1361-6420/acd719
- Optimal Compressed Sensing and Reconstruction of Unstructured Mesh Datasets M. Salloum et al. 10.1007/s41019-017-0042-4
- An automated approach for parallel adjoint-based error estimation and mesh adaptation B. Granzow et al. 10.1007/s00366-019-00890-2
- ISMIP6 Antarctica: a multi-model ensemble of the Antarctic ice sheet evolution over the 21st century H. Seroussi et al. 10.5194/tc-14-3033-2020
- A hybrid deep neural operator/finite element method for ice-sheet modeling Q. He et al. 10.1016/j.jcp.2023.112428
- A scalability study of the Ice-sheet and Sea-level System Model (ISSM, version 4.18) Y. Fischler et al. 10.5194/gmd-15-3753-2022
- FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica A. Heinlein et al. 10.1137/21M1395260
- Stabilizing effect of bedrock uplift on retreat of Thwaites Glacier, Antarctica, at centennial timescales C. Book et al. 10.1016/j.epsl.2022.117798
- icepack: a new glacier flow modeling package in Python, version 1.0 D. Shapero et al. 10.5194/gmd-14-4593-2021
- Accurate and stable time stepping in ice sheet modeling G. Cheng et al. 10.1016/j.jcp.2016.10.060
- Widespread Moulin Formation During Supraglacial Lake Drainages in Greenland M. Hoffman et al. 10.1002/2017GL075659
- Hydromechanical modelling of CO2 sequestration using a component-based multiphysics code Q. Chen & Z. Lai 10.1680/jenge.18.00038
- Marine ice sheet experiments with the Community Ice Sheet Model G. Leguy et al. 10.5194/tc-15-3229-2021
- MPAS-Albany Land Ice (MALI): a variable-resolution ice sheet model for Earth system modeling using Voronoi grids M. Hoffman et al. 10.5194/gmd-11-3747-2018
- A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling C. Chen et al. 10.1016/j.jcp.2019.07.024
- Automatic Differentiation of C++ Codes on Emerging Manycore Architectures with Sacado E. Phipps et al. 10.1145/3560262
- Solution of Nonlinear Stokes Equations Discretized By High-Order Finite Elements on Nonconforming and Anisotropic Meshes, with Application to Ice Sheet Dynamics T. Isaac et al. 10.1137/140974407
- Automatic performance tuning for Albany Land Ice M. Carlson et al. 10.1016/j.cam.2023.115222
- Graphics-processing-unit-accelerated ice flow solver for unstructured meshes using the Shallow-Shelf Approximation (FastIceFlo v1.0.1) A. Sandip et al. 10.5194/gmd-17-899-2024
- Preconditioned least‐squares Petrov–Galerkin reduced order models P. Lindsay et al. 10.1002/nme.7056
- An updated-Lagrangian damage mechanics formulation for modeling the creeping flow and fracture of ice sheets S. Jiménez et al. 10.1016/j.cma.2016.09.034
- Performance portable ice-sheet modeling with MALI J. Watkins et al. 10.1177/10943420231183688
- An efficient and scalable approach for generating topologically optimized cellular structures for additive manufacturing J. Robbins et al. 10.1016/j.addma.2016.06.013
- LIVVkit 2.1: automated and extensible ice sheet model validation K. Evans et al. 10.5194/gmd-12-1067-2019
- Toward performance portability of the Albany finite element analysis code using the Kokkos library I. Demeshko et al. 10.1177/1094342017749957
- Exploring basal sliding with a fluidity‐based, ice‐sheet model using FOSLS J. Allen et al. 10.1002/nla.2161
- Diagnosing the sensitivity of grounding-line flux to changes in sub-ice-shelf melting T. Zhang et al. 10.5194/tc-14-3407-2020
- An ice sheet model validation framework for the Greenland ice sheet S. Price et al. 10.5194/gmd-10-255-2017
- Modelling thermomechanical ice deformation using an implicit pseudo-transient method (FastICE v1.0) based on graphical processing units (GPUs) L. Räss et al. 10.5194/gmd-13-955-2020
- Thermo-hydro-mechanical processes in fractured rock formations during a glacial advance A. Selvadurai et al. 10.5194/gmd-8-2167-2015
- The Schwarz alternating method for transient solid dynamics A. Mota et al. 10.1002/nme.6982
- Heat transfer finite element model for laser powder-bed fusion on consolidated simulation geometry R. Hu et al. 10.1007/s00466-023-02267-1
- Multifidelity Monte Carlo estimation for efficient uncertainty quantification in climate-related modeling A. Gruber et al. 10.5194/gmd-16-1213-2023
- On the Scalability of the Albany/FELIX first-order Stokes Approximation ice Sheet Solver for Large-Scale Simulations of the Greenland and Antarctic ice Sheets I. Tezaur et al. 10.1016/j.procs.2015.05.467
41 citations as recorded by crossref.
- A Matrix Dependent/Algebraic Multigrid Approach for Extruded Meshes with Applications to Ice Sheet Modeling R. Tuminaro et al. 10.1137/15M1040839
- Effect of Subshelf Melt Variability on Sea Level Rise Contribution From Thwaites Glacier, Antarctica M. Hoffman et al. 10.1029/2019JF005155
- Description and evaluation of the Community Ice Sheet Model (CISM) v2.1 W. Lipscomb et al. 10.5194/gmd-12-387-2019
- HYPERDIFFERENTIAL SENSITIVITY ANALYSIS IN THE CONTEXT OF BAYESIAN INFERENCE APPLIED TO ICE-SHEET PROBLEMS W. Reese et al. 10.1615/Int.J.UncertaintyQuantification.2023047605
- Anisotropic radial basis function methods for continental size ice sheet simulations G. Cheng & V. Shcherbakov 10.1016/j.jcp.2018.06.020
- A comparison of two Stokes ice sheet models applied to the Marine Ice Sheet Model Intercomparison Project for plan view models (MISMIP3d) T. Zhang et al. 10.5194/tc-11-179-2017
- PyAlbany: A Python interface to the C++ multiphysics solver Albany K. Liegeois et al. 10.1016/j.cam.2022.115037
- The Schwarz alternating method in solid mechanics A. Mota et al. 10.1016/j.cma.2017.02.006
- Hierarchical off-diagonal low-rank approximation of Hessians in inverse problems, with application to ice sheet model initialization T. Hartland et al. 10.1088/1361-6420/acd719
- Optimal Compressed Sensing and Reconstruction of Unstructured Mesh Datasets M. Salloum et al. 10.1007/s41019-017-0042-4
- An automated approach for parallel adjoint-based error estimation and mesh adaptation B. Granzow et al. 10.1007/s00366-019-00890-2
- ISMIP6 Antarctica: a multi-model ensemble of the Antarctic ice sheet evolution over the 21st century H. Seroussi et al. 10.5194/tc-14-3033-2020
- A hybrid deep neural operator/finite element method for ice-sheet modeling Q. He et al. 10.1016/j.jcp.2023.112428
- A scalability study of the Ice-sheet and Sea-level System Model (ISSM, version 4.18) Y. Fischler et al. 10.5194/gmd-15-3753-2022
- FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica A. Heinlein et al. 10.1137/21M1395260
- Stabilizing effect of bedrock uplift on retreat of Thwaites Glacier, Antarctica, at centennial timescales C. Book et al. 10.1016/j.epsl.2022.117798
- icepack: a new glacier flow modeling package in Python, version 1.0 D. Shapero et al. 10.5194/gmd-14-4593-2021
- Accurate and stable time stepping in ice sheet modeling G. Cheng et al. 10.1016/j.jcp.2016.10.060
- Widespread Moulin Formation During Supraglacial Lake Drainages in Greenland M. Hoffman et al. 10.1002/2017GL075659
- Hydromechanical modelling of CO2 sequestration using a component-based multiphysics code Q. Chen & Z. Lai 10.1680/jenge.18.00038
- Marine ice sheet experiments with the Community Ice Sheet Model G. Leguy et al. 10.5194/tc-15-3229-2021
- MPAS-Albany Land Ice (MALI): a variable-resolution ice sheet model for Earth system modeling using Voronoi grids M. Hoffman et al. 10.5194/gmd-11-3747-2018
- A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling C. Chen et al. 10.1016/j.jcp.2019.07.024
- Automatic Differentiation of C++ Codes on Emerging Manycore Architectures with Sacado E. Phipps et al. 10.1145/3560262
- Solution of Nonlinear Stokes Equations Discretized By High-Order Finite Elements on Nonconforming and Anisotropic Meshes, with Application to Ice Sheet Dynamics T. Isaac et al. 10.1137/140974407
- Automatic performance tuning for Albany Land Ice M. Carlson et al. 10.1016/j.cam.2023.115222
- Graphics-processing-unit-accelerated ice flow solver for unstructured meshes using the Shallow-Shelf Approximation (FastIceFlo v1.0.1) A. Sandip et al. 10.5194/gmd-17-899-2024
- Preconditioned least‐squares Petrov–Galerkin reduced order models P. Lindsay et al. 10.1002/nme.7056
- An updated-Lagrangian damage mechanics formulation for modeling the creeping flow and fracture of ice sheets S. Jiménez et al. 10.1016/j.cma.2016.09.034
- Performance portable ice-sheet modeling with MALI J. Watkins et al. 10.1177/10943420231183688
- An efficient and scalable approach for generating topologically optimized cellular structures for additive manufacturing J. Robbins et al. 10.1016/j.addma.2016.06.013
- LIVVkit 2.1: automated and extensible ice sheet model validation K. Evans et al. 10.5194/gmd-12-1067-2019
- Toward performance portability of the Albany finite element analysis code using the Kokkos library I. Demeshko et al. 10.1177/1094342017749957
- Exploring basal sliding with a fluidity‐based, ice‐sheet model using FOSLS J. Allen et al. 10.1002/nla.2161
- Diagnosing the sensitivity of grounding-line flux to changes in sub-ice-shelf melting T. Zhang et al. 10.5194/tc-14-3407-2020
- An ice sheet model validation framework for the Greenland ice sheet S. Price et al. 10.5194/gmd-10-255-2017
- Modelling thermomechanical ice deformation using an implicit pseudo-transient method (FastICE v1.0) based on graphical processing units (GPUs) L. Räss et al. 10.5194/gmd-13-955-2020
- Thermo-hydro-mechanical processes in fractured rock formations during a glacial advance A. Selvadurai et al. 10.5194/gmd-8-2167-2015
- The Schwarz alternating method for transient solid dynamics A. Mota et al. 10.1002/nme.6982
- Heat transfer finite element model for laser powder-bed fusion on consolidated simulation geometry R. Hu et al. 10.1007/s00466-023-02267-1
- Multifidelity Monte Carlo estimation for efficient uncertainty quantification in climate-related modeling A. Gruber et al. 10.5194/gmd-16-1213-2023
Saved (final revised paper)
Latest update: 16 Jul 2024
Short summary
In this manuscript, we discuss the development and validation of a new momentum balance solver for modeling the flow of glaciers and ice sheets based on the 1st-order Stokes equations. We demonstrate the numerical convergence of our solver (with respect to computational mesh spacing), its flexibility (with respect to both the choice of mesh and finite element type), and its computational performance (robustness and scalability when applied to both idealized and realistic ice sheet simulations).
In this manuscript, we discuss the development and validation of a new momentum balance solver...
