Albany/FELIX: A parallel, scalable and robust, finite element, first-order Stokes approximation ice sheet solver built for advanced analysis

Tezaur, I. K.; Perego, M.; Salinger, A. G.; Tuminaro, R. S.; Price, S. F.

doi:10.5194/gmd-8-1197-2015

Albany/FELIX: A parallel, scalable and robust, finite element, first-order Stokes approximation ice sheet solver built for advanced analysis

Journal Article · Mon Apr 27 04:00:00 EDT 2015 · Geoscientific Model Development (Online)

DOI:https://doi.org/10.5194/gmd-8-1197-2015· OSTI ID:1208879

Tezaur, I. K. ^[1]; Perego, M. ^[2]; Salinger, A. G. ^[2]; Tuminaro, R. S. ^[2]; Price, S. F. ^[3]

Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

This paper describes a new parallel, scalable and robust finite element based solver for the first-order Stokes momentum balance equations for ice flow. The solver, known as Albany/FELIX, is constructed using the component-based approach to building application codes, in which mature, modular libraries developed as a part of the Trilinos project are combined using abstract interfaces and template-based generic programming, resulting in a final code with access to dozens of algorithmic and advanced analysis capabilities. Following an overview of the relevant partial differential equations and boundary conditions, the numerical methods chosen to discretize the ice flow equations are described, along with their implementation. The results of several verification studies of the model accuracy are presented using (1) new test cases for simplified two-dimensional (2-D) versions of the governing equations derived using the method of manufactured solutions, and (2) canonical ice sheet modeling benchmarks. Model accuracy and convergence with respect to mesh resolution are then studied on problems involving a realistic Greenland ice sheet geometry discretized using hexahedral and tetrahedral meshes. Also explored as a part of this study is the effect of vertical mesh resolution on the solution accuracy and solver performance. The robustness and scalability of our solver on these problems is demonstrated. Lastly, we show that good scalability can be achieved by preconditioning the iterative linear solver using a new algebraic multilevel preconditioner, constructed based on the idea of semi-coarsening.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: DOE Office of Science; USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1208879

Alternate ID(s):: OSTI ID: 1214225

Journal Information:: Geoscientific Model Development (Online), Journal Name: Geoscientific Model Development (Online) Journal Issue: 4 Vol. 8; ISSN 1991-9603

Publisher:: European Geosciences UnionCopyright Statement

Country of Publication:: United States

Language:: English

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