Hydraulic suppression of basal glacier melt in sill fjords

. Using a conceptual model, we examine how hydraulically-controlled exchange flows in silled fjords affect the relationship between the basal glacier melt and the features of warm intermediate Atlantic Water (AW) outside the fjords. We show that an exchange flow can be forced to transit into the hydraulic regime if the AW interface height decreases, the AW temperature increases, or the production of glacially modified water is boosted by subglacial discharge. In the hydraulic regime, the heat transport across the sill becomes a rate limiting factor for the basal melt, which is suppressed. An interplay 5 between processes near the ice–ocean boundary and the hydraulically-controlled exchange flow determines the melt dynamics, and the sensitivity of the basal melt to changes of the AW temperature is reduced. The model results are discussed in relation to observations from Petermann, Ryder, and 79 ◦ N glaciers in North Greenland.

[1]  A. Alstrup,et al.  Supplementary material to "The Holocene dynamics of Ryder Glacier and ice tongue in north Greenland" , 2021, The Cryosphere.

[2]  B. Thornton,et al.  The climate sensitivity of northern Greenland fjords is amplified through sea-ice damming , 2021, Communications Earth & Environment.

[3]  H. Stommel,et al.  Control of salinity in an estuary by a transition , 2021, Journal of Marine Research.

[4]  B. Calder,et al.  Ryder Glacier in northwest Greenland is shielded from warm Atlantic water by a bathymetric sill , 2020, Communications Earth & Environment.

[5]  Wilken-Jon von Appen,et al.  Bathymetry constrains ocean heat supply to Greenland’s largest glacier tongue , 2020, Nature Geoscience.

[6]  Eric Rignot,et al.  Forty-six years of Greenland Ice Sheet mass balance from 1972 to 2018 , 2019, Proceedings of the National Academy of Sciences.

[7]  Delwyn Moller,et al.  Interruption of two decades of Jakobshavn Isbrae acceleration and thinning as regional ocean cools , 2019, Nature Geoscience.

[8]  A. Jenkins,et al.  An Analytical Derivation of Ice-Shelf Basal Melt Based on the Dynamics of Meltwater Plumes , 2019, Journal of Physical Oceanography.

[9]  A. Jenkins,et al.  Assessment of sub-shelf melting parameterisations using the ocean–ice-sheet coupled model NEMO(v3.6)–Elmer/Ice(v8.3) , 2019, Geoscientific Model Development.

[10]  J. McWilliams,et al.  Sill-Influenced Exchange Flows in Ice Shelf Cavities , 2019, Journal of Physical Oceanography.

[11]  R. Hock,et al.  Contribution of the Greenland Ice Sheet to sea level over the next millennium , 2018, Science Advances.

[12]  S. Lentz,et al.  The Dynamics of Shelf Forcing in Greenlandic Fjords , 2018, Journal of Physical Oceanography.

[13]  Chris R. Stokes,et al.  Dynamic changes in outlet glaciers in northern Greenland from 1948 to 2015 , 2018, The Cryosphere.

[14]  Chris R. Stokes,et al.  Dynamic changes in outlet glaciers in northern Greenland from 1948 to 2015 , 2018 .

[15]  P. Heimbach,et al.  Satellite-derived submarine melt rates and mass balance (2011–2015) for Greenland's largest remaining ice tongues , 2017 .

[16]  L Mayer,et al.  BedMachine v3: Complete Bed Topography and Ocean Bathymetry Mapping of Greenland From Multibeam Echo Sounding Combined With Mass Conservation , 2017, Geophysical research letters.

[17]  D. Menemenlis,et al.  Observations and modeling of ocean‐induced melt beneath Petermann Glacier Ice Shelf in northwestern Greenland , 2017 .

[18]  Adrian Jenkins,et al.  Modelling present-day basal melt rates for Antarctic ice shelves using a parametrization of buoyant meltwater plumes , 2017 .

[19]  R. Samelson,et al.  Seasonal control of Petermann Gletscher ice-shelf melt by the ocean's response to sea-ice cover in Nares Strait , 2017, Journal of Glaciology.

[20]  Martin Truffer,et al.  Where glaciers meet water: Subaqueous melt and its relevance to glaciers in various settings , 2016 .

[21]  F. Straneo,et al.  Heat, Salt, and Freshwater Budgets for a Glacial Fjord in Greenland , 2015 .

[22]  C. Cenedese,et al.  The Dynamics of Greenland's Glacial Fjords and Their Role in Climate. , 2015, Annual review of marine science.

[23]  J. Lilly,et al.  Eddy-resolving simulations of the Fimbul Ice Shelf cavity circulation: Basal melting and exchange with open ocean , 2014 .

[24]  P. Heimbach,et al.  North Atlantic warming and the retreat of Greenland's outlet glaciers , 2013, Nature.

[25]  D. Menemenlis,et al.  Subaqueous melting of Store Glacier, west Greenland from three‐dimensional, high‐resolution numerical modeling and ocean observations , 2013, Geophysical Research Letters.

[26]  F. Pattyn,et al.  Future sea-level rise from Greenland’s main outlet glaciers in a warming climate , 2013, Nature.

[27]  O. Johannessen,et al.  Unprecedented Retreat in a 50-Year Observational Record for Petermann Glacier, North Greenland , 2013 .

[28]  G. Hamilton,et al.  Characteristics of ocean waters reaching Greenland's glaciers , 2012, Annals of Glaciology.

[29]  G. Gudmundsson Ice-shelf buttressing and the stability of marine ice sheets , 2012 .

[30]  A. Jenkins Convection-Driven Melting near the Grounding Lines of Ice Shelves and Tidewater Glaciers , 2011 .

[31]  H. Melling,et al.  Ocean circulation and properties in Petermann Fjord, Greenland , 2011 .

[32]  M. Oppenheimer,et al.  How ice shelf morphology controls basal melting , 2009 .

[33]  R. Hallberg,et al.  Large-Scale Oceanographic Constraints on the Distribution of Melting and Freezing under Ice Shelves , 2008 .

[34]  David M. Holland,et al.  The Response of Ice Shelf Basal Melting to Variations in Ocean Temperature , 2008 .

[35]  A. Hogg,et al.  Open boundary conditions for nonlinear channel flow , 2008 .

[36]  C. Schoof Ice sheet grounding line dynamics: Steady states, stability, and hysteresis , 2007 .

[37]  L. Pratt Rotating hydraulics : nonlinear topographic effects in the ocean and atmosphere , 2006 .

[38]  I. Polyakov,et al.  Variability of the Intermediate Atlantic Water of the Arctic Ocean over the Last 100 Years , 2004 .

[39]  David M. Holland,et al.  Modeling Thermodynamic Ice–Ocean Interactions at the Base of an Ice Shelf , 1999 .

[40]  Molly O. Baringer,et al.  Outflows and deep water production by marginal seas , 1994 .

[41]  Adrian Jenkins,et al.  A one-dimensional model of ice shelf-ocean interaction , 1991 .

[42]  E. Lewis,et al.  Ice pumps and their rates , 1986 .

[43]  L. Armi The hydraulics of two flowing layers with different densities , 1986, Journal of Fluid Mechanics.

[44]  H. G. Gade Melting of Ice in Sea Water: A Primitive Model with Application to the Antarctic Ice Shelf and Icebergs , 1979 .