The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Shallow shelf approximation as a “sliding law” in a thermomechanically coupled ice sheet model
Open accessAbstract
The shallow shelf approximation, a balance of membrane stresses for ice flow, is an effective “sliding law” for ice sheet modeling. Our use of it as a sliding law becomes a standard model for ice stream flow when the sliding velocity is large (100 m a−1 and faster). Following Schoof (2006a), we describe the basal resistance as plastic till for which the yield stress is given by a Mohr‐Coulomb formula. Pore water pressure is related to basal melt rate. The velocity field used in the mass continuity and conservation of energy equations is an average of velocities from the shallow shelf approximation and the nonsliding shallow ice approximation. Using this scheme, our model has realistic, time‐dependent ice streams which exhibit the range of surface velocities seen in actual ice streams. We demonstrate the model at high spatial resolution (5 km grid) over multiple millenia using its implementation in the Parallel Ice Sheet Model. Numerical experiments show that the entire scheme is stable with respect to many parameter changes. Some experiments reveal significant ice stream variability in a hypothetical steady climate, with characteristic cycles on the order of 1000 years. We believe this is the first practical whole ice sheet model with a unified treatment of vertical shear stresses and membrane stresses. It is capable of high‐resolution, thermomechanically coupled, multimillenia simulations of ice sheets containing ice streams.
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Iterative Methods for Sparse Linear Systems
Saad, Y. (2003) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898718003 · Cited by 13,790
Paterson, W. S. B., & Andrews, J. T. (1969) · Cited by 3,332
Balay, S., Abhyankar, S. G., Adams, M. F., Brown, J., Brune, P., Buschelman, K., Dalcín, L., Dener, A., Eijkhout, Gropp, W., et al. (2019) · Cited by 1,967
Self-citationSurface Melt-Induced Acceleration of Greenland Ice-Sheet Flow
Zwally, H. J., Abdalati, W., Herring, T., Larson, K., Saba, J., & Steffen, K. (2002) · Science · doi:10.1126/science.1072708 · Cited by 1,100
Basal mechanics of Ice Stream B, west Antarctica: 1. Till mechanics
Tulaczyk, S., Kamb, W. B., & Engelhardt, H. F. (2000) · Journal of Geophysical Research: Solid Earth · doi:10.1029/1999jb900329 · Cited by 504
Large fluctuations in speed on Greenland's Jakobshavn Isbræ glacier
Joughin, I., Abdalati, W., & Fahnestock, M. (2004) · Nature · doi:10.1038/nature03130 · Cited by 491
Hutter, K. (1983) · Springer eBooks · doi:10.1007/978-94-015-1167-4 · Cited by 453
The Dynamic Response of the Greenland and Antarctic Ice Sheets to Multiple-Century Climatic Warming
Huybrechts, P., & de Wolde, J. (1999) · Journal of Climate · doi:10.1175/1520-0442(1999)012<2169:tdrotg>2.0.co;2 · Cited by 411
Recent Sea-Level Contributions of the Antarctic and Greenland Ice Sheets
Shepherd, A., & Wingham, D. (2007) · Science · doi:10.1126/science.1136776 · Cited by 333
Greenland glacial history and local geodynamic consequences
Tarasov, L., & Richard Peltier, W. (2002) · Geophysical Journal International · doi:10.1046/j.1365-246x.2002.01702.x · Cited by 273
Cited by
Global environmental consequences of twenty-first-century ice-sheet melt
Golledge, N. R., Keller, E. D., Gomez, N., Naughten, K. A., Bernales, J., Trusel, L. D., & Edwards, T. L. (2019) · Nature · doi:10.1038/s41586-019-0889-9 · Cited by 486
Contribution of the Greenland Ice Sheet to sea level over the next millennium
Aschwanden, A., Fahnestock, M. A., Truffer, M., Brinkerhoff, D. J., Hock, R., Khroulev, C., Mottram, R., & Khan, S. A. (2019) · Science Advances · doi:10.1126/sciadv.aav9396 · Cited by 398
Bindschadler, R. A., Nowicki, S., Abe-Ouchi, A., Aschwanden, A., Choi, H., Fastook, J., Granzow, G., Greve, R., Gutowski, G., Herzfeld, U., et al. (2013) · Journal of Glaciology · doi:10.3189/2013jog12j125 · Cited by 275
Numerical simulations of the Cordilleran ice sheet through the last glacial cycle
Seguinot, J., Rogozhina, I., Stroeven, A. P., Margold, M., & Kleman, J. (2016) · The Cryosphere · doi:10.5194/tc-10-639-2016 · Cited by 61
Limited impact of climate forcing products on future glacier evolution in Scandinavia and Iceland
Compagno, L., Zekollari, H., Huss, M., & Farinotti, D. (2021) · Journal of Glaciology · doi:10.1017/jog.2021.24 · Cited by 30
Metadata
- Authors
- Bueler, E., & Brown, J.
- Venue
- Journal of Geophysical Research: Earth Surface
- Publisher
- American Geophysical Union (AGU)
- Published
- 2009-07-31
- Volume
- 114
- Issue
- F3
- ISSN
- 0148-0227 (ISSN-L)
- OpenAlex
- W2057660933
- Cited by
- 657
- References
- 22
- FWCI
- 13.39
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Bueler, E., & Brown, J. (2009). Shallow shelf approximation as a “sliding law” in a thermomechanically coupled ice sheet model. Journal of Geophysical Research: Earth Surface. https://doi.org/10.1029/2008jf001179
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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