The numerical modeling of glacier and ice sheet evolution is a subject of growing interest, in part because of the potential
for models to inform estimates of global sea level change. This paper focuses on the development of a numerical model that
determines the velocity and pressure fields within an ice sheet. Our numerical model features a high-fidelity mathematical
model involving the nonlinear Stokes system and combinations of no-sliding and sliding basal boundary conditions, high-order
accurate finite element discretizations based on variable resolution grids, and highly scalable parallel solution strategies,
all of which contribute to a numerical model that can achieve accurate velocity and pressure approximations in a highly efficient
manner. We demonstrate the accuracy and efficiency of our model by analytical solution tests, established ice sheet benchmark
experiments, and comparisons with other well-established ice sheet models.
%0 Journal Article
%1 citeulike:10402555
%A Leng, Wei
%A Ju, Lili
%A Gunzburger, Max
%A Price, Stephen
%A Ringler, Todd
%D 2012
%J Journal of Geophysical Research
%K 86a40-glaciology 76d07-stokes-and-related-oseen-etc-flows 65y05-parallel-computation 68w01-algorithms-general 86-04-geophysics-explicit-machine-computation-and-programs 86-05-geophysics-experimental-work
%N F1
%P F01001+
%R 10.1029/2011jf001962
%T A parallel high-order accurate finite element nonlinear Stokes ice sheet model and benchmark experiments
%U http://dx.doi.org/10.1029/2011jf001962
%V 117
%X The numerical modeling of glacier and ice sheet evolution is a subject of growing interest, in part because of the potential
for models to inform estimates of global sea level change. This paper focuses on the development of a numerical model that
determines the velocity and pressure fields within an ice sheet. Our numerical model features a high-fidelity mathematical
model involving the nonlinear Stokes system and combinations of no-sliding and sliding basal boundary conditions, high-order
accurate finite element discretizations based on variable resolution grids, and highly scalable parallel solution strategies,
all of which contribute to a numerical model that can achieve accurate velocity and pressure approximations in a highly efficient
manner. We demonstrate the accuracy and efficiency of our model by analytical solution tests, established ice sheet benchmark
experiments, and comparisons with other well-established ice sheet models.
@article{citeulike:10402555,
abstract = {{The numerical modeling of glacier and ice sheet evolution is a subject of growing interest, in part because of the potential
for models to inform estimates of global sea level change. This paper focuses on the development of a numerical model that
determines the velocity and pressure fields within an ice sheet. Our numerical model features a high-fidelity mathematical
model involving the nonlinear Stokes system and combinations of no-sliding and sliding basal boundary conditions, high-order
accurate finite element discretizations based on variable resolution grids, and highly scalable parallel solution strategies,
all of which contribute to a numerical model that can achieve accurate velocity and pressure approximations in a highly efficient
manner. We demonstrate the accuracy and efficiency of our model by analytical solution tests, established ice sheet benchmark
experiments, and comparisons with other well-established ice sheet models.
}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Leng, Wei and Ju, Lili and Gunzburger, Max and Price, Stephen and Ringler, Todd},
biburl = {https://www.bibsonomy.org/bibtex/2572ec420dd94bb413170a15320cde224/gdmcbain},
citeulike-article-id = {10402555},
citeulike-linkout-0 = {http://www.agu.org/pubs/crossref/2012/2011JF001962.shtml},
citeulike-linkout-1 = {http://dx.doi.org/10.1029/2011jf001962},
comment = {(private-note)found by Googling "parallel Stokes"},
day = 4,
doi = {10.1029/2011jf001962},
interhash = {373c73dbfc668a69dd9e0853f7297cbc},
intrahash = {572ec420dd94bb413170a15320cde224},
issn = {0148-0227},
journal = {Journal of Geophysical Research},
keywords = {86a40-glaciology 76d07-stokes-and-related-oseen-etc-flows 65y05-parallel-computation 68w01-algorithms-general 86-04-geophysics-explicit-machine-computation-and-programs 86-05-geophysics-experimental-work},
month = jan,
number = {F1},
pages = {F01001+},
posted-at = {2012-03-01 22:52:39},
priority = {2},
timestamp = {2022-05-27T04:09:58.000+0200},
title = {{A parallel high-order accurate finite element nonlinear Stokes ice sheet model and benchmark experiments}},
url = {http://dx.doi.org/10.1029/2011jf001962},
volume = 117,
year = 2012
}