Journal cover Journal topic
The Cryosphere An interactive open-access journal of the European Geosciences Union
doi:10.5194/tcd-3-77-2009
© Author(s) 2009. This work is distributed
under the Creative Commons Attribution 3.0 License.
 
22 Jan 2009
Review status
This discussion paper has been under review for the journal The Cryosphere (TC). The manuscript was not accepted for further review after discussion.
The Gregoriev Ice Cap evolution according to the 2-D ice flowline model for various climatic scenarios in the future
Y. V. Konovalov and O. V. Nagornov Moscow Engineering Physics Institute (State University), Kashirskoe shosse, 31, 115409 Moscow, Russia
Abstract. Different flowline thickness distributions and flowline length changes of the Gregoriev Ice Cap were obtained for some surface mass balance histories which can be considered as possible surface mass balances in the future. The ice cap modeling was performed by solving full Stokes equations in the form of one mechanical equilibrium equation in terms of stress deviator components in couple with continuity equation for incompressible substance. The numerical solution was obtained by the finite-difference method. The problem of diagnostic equations stability was overcome by a~compound approximation of the ice surface boundary condition based on the extending of the mechanical equilibrium equation to ice surface points. The problem of stability in the prognostic equation can arise at relatively small grid size in horizontal direction in the case of steep velocity decreasing closely to the ice front and was overcome by introducing the artificial viscosity into the prognostic equation. The basal sliding can arise in the glacier tongue at certain climatic conditions and was introduced through the linear friction law. The correlations between glacier length changes and annual air temperature histories were investigated within the simplified equation in the form of linear dependence of annual air temperature versus the glacier length and time derivation of the length.

Citation: Konovalov, Y. V. and Nagornov, O. V.: The Gregoriev Ice Cap evolution according to the 2-D ice flowline model for various climatic scenarios in the future, The Cryosphere Discuss., 3, 77-115, doi:10.5194/tcd-3-77-2009, 2009.
Y. V. Konovalov and O. V. Nagornov
Interactive discussionStatus: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version      Supplement - Supplement
 
RC S17: 'Review on Gregoriev Ice Cap Modelling', Gwendolyn J.-M. C. Leysinger Vieli, 03 Mar 2009 Printer-friendly Version 
RC S49: 'Complex model and too sparse data', Anonymous Referee #1, 12 Mar 2009 Printer-friendly Version 
 
AC S124: 'Final Response', Yuri Konovalov, 03 Apr 2009 Printer-friendly Version 
Y. V. Konovalov and O. V. Nagornov
Y. V. Konovalov and O. V. Nagornov

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