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An enthalpy formulation for glaciers and ice sheets
Open accessAbstract
Polythermal conditions are ubiquitous among glaciers, from small valley glaciers to ice sheets. Conventional temperature-based ‘cold-ice’ models of such ice masses cannot account for that portion of the internal energy which is latent heat of liquid water within temperate ice, so such schemes are not energy-conserving when temperate ice is present. Temperature and liquid water fraction are, however, functions of a single enthalpy variable: a small enthalpy change in cold ice is a change in temperature, while a small enthalpy change in temperate ice is a change in liquid water fraction. The unified enthalpy formulation described here models the mass and energy balance for the threedimensional ice fluid, for the surface runoff layer and for the subglacial hydrology layer, together in a single energy-conserving theoretical framework. It is implemented in the Parallel Ice Sheet Model. Results for the Greenland ice sheet are compared with those from a cold-ice scheme. This paper is intended to be an accessible foundation for enthalpy formulations in glaciology.
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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
Self-citationBindschadler, 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
Self-citationNumerical 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
Seguinot, J., Khroulev, C., Rogozhina, I., Stroeven, A. P., & Zhang, Q. (2014) · The Cryosphere · doi:10.5194/tc-8-1087-2014 · Cited by 24
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Metadata
- Authors
- Aschwanden, A., Bueler, E., Khroulev, C., & Blatter, H.
- Venue
- Journal of Glaciology
- Publisher
- International Glaciological Society
- Published
- 2012
- Volume
- 58
- Issue
- 209
- Pages
- 441-457
- ISSN
- 0022-1430 (ISSN-L)
- 1727-5652
- OpenAlex
- W1983549528
- Cited by
- 315
- References
- 0
- FWCI
- 9.58
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Aschwanden, A., Bueler, E., Khroulev, C., & Blatter, H. (2012). An enthalpy formulation for glaciers and ice sheets. Journal of Glaciology. https://doi.org/10.3189/2012jog11j088
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