Well-posed boundary conditions for limited-domain models of transient ice flow near an ice divide

Journal of Glaciology

Volumn 58, Issue 211, 2012, Pages 1008-1020

  Koutnik, Michelle R ^a,b   Waddington, Edwin D ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITION; ICE CORE; ICE FLOW; ICE SHEET; INVERSE PROBLEM; SPATIOTEMPORAL ANALYSIS;

EID: 84867196454     PISSN: 00221430     EISSN: None     Source Type: Journal    
DOI: 10.3189/2012JoG11J212     Document Type: Article

References (39)

1. Arfken GB and Weber HJ (1995) Mathematical methods for physicists, 4th edn. Academic Press, London
2. Blayo E and Debreu L (2006) Nesting ocean models. In Chassignet EP and Verron J eds. Ocean weather forecasting: an integrated view of oceanography. Springer, Dordrecht, 127-146
3. Bodvarsson G (1955) On the flow of ice sheets and glaciers. Jökull, 5, 1-8
4. Christensen JH and 16 others (2007) Regional climate projections. In Solomon S and 7 others eds. Climate change 2007: the physical science basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge, 847-940
5. Conway H, Hall BL, Denton GH, Gades AM and Waddington ED (1999) Past and future grounding-line retreat of the West Antarctic ice sheet. Science, 286(5438), 280-283 (doi: 10.1126/science.286.5438.280) (Pubitemid 29484689)
6. Cuffey KM and Paterson WSB (2010) The physics of glaciers, 4th edn. Butterworth-Heinemann, Oxford
7. Denton GH and Hughes TJ (2002) Reconstructing the Antarctic ice sheet at the Last Glacial Maximum. Quat. Sci. Rev., 21(1-3), 193-202 (doi: 10.1016/S0277-3791(01)00090-7) (Pubitemid 34067512)
8. Fastook JL (2005) Embedded models: application to the Ross Sea and Amundsen Sea sectors, retreat from LGM. Am. Geophys. Union, Fall Meet. [Abstr. OS44A-02] http://adsabs.harvard.edu/abs/2005AGUFMOS44A.02F
9. Gagliardini O and Meyssonnier J (2002) Lateral boundary conditions for a local anisotropic ice-flow model. Ann. Glaciol., 35, 503-509 (doi: 10.3189/172756402781817202) (Pubitemid 36386632)
10. Glen JW (1955) The creep of polycrystalline ice. Proc. R. Soc. London, Ser. A, 228(1175), 519-538 (doi: 10.1098/rspa. 1955.0066)
11. Gubbins D (2004) Time series analysis and inverse theory for geophysicists. Cambridge University Press, Cambridge
12. Hindmarsh RCA (1996) Stochastic perturbation of divide position. Ann. Glaciol., 23, 94-104 (Pubitemid 27442727)
13. Hooke RLeB (2005) Principles of glacier mechanics, 2nd edn. Cambridge University Press, Cambridge
14. Huybrechts P, Rybak O, Pattyn F, Ruth U and Steinhage D (2007) Ice thinning, upstream advection, and non-climatic biases for the upper 89% of the EDML ice core from a nested model of the Antarctic ice sheet. Climate Past, 3(4), 577-589 (doi: 10.5194/cp-3-577-2007) (Pubitemid 47519114)
15. Huybrechts P, Rybak O, Steinhage D and Pattyn F (2009) Past and present accumulation rate reconstruction along the Dome Fuji- Kohnen radio-echo sounding profile, Dronning Maud Land, East Antarctica. Ann. Glaciol., 50(51), 112-120 (doi: 10.3189/172756409789097513)
16. Jóhannesson T, Raymond C and Waddington E (1989) Time-scale for adjustment of glaciers to changes in mass balance. J. Glaciol., 35(121), 355-369
17. Koutnik MR (2009) Inferring histories of accumulation rate, ice thickness, and ice flow from internal layers in glaciers and ice sheets. (PhD thesis, University of Washington)
18. Lam JKW and Dowdeswell JA (1996) An adaptive-grid finitevolume model of glacier-terminus fluctuations. Ann. Glaciol., 23, 86-93 (Pubitemid 27442728)
19. Marshall SJ and Clarke GKC (1997) A continuum mixture model of ice stream thermomechanics in the Laurentide ice sheet. 1. Theory. J. Geophys. Res., 102(B9), 20 599-20 614 (doi: 10.1029/97JB01188)
20. Meier MF and Post A (1987) Fast tidewater glaciers. J. Geophys. Res., 92(B9), 9051-9058 (doi: 10.1029/JB092iB09p09051)
21. Nereson NA and Waddington ED (2002) Isochrones and isotherms beneath migrating ice divides. J. Glaciol., 48(160), 95-108 (doi: 10.3189/ 172756502781831647) (Pubitemid 34915784)
22. Nereson NA, Hindmarsh RCA and Raymond CF (1998) Sensitivity of the divide position at Siple Dome, West Antarctica, to boundary forcing. Ann. Glaciol., 27, 207-214 (Pubitemid 29199033)
23. North Greenland Ice Core Project (NorthGRIP) Members (2004) High-resolution record of Northern Hemisphere climate extending into the last interglacial period. Nature, 431(7005), 147-151 (doi: 10.1038/nature02805) (Pubitemid 39243460)
24. Nye JF (1960) The response of glaciers and ice-sheets to seasonal and climatic changes. Proc. R. Soc. London, Ser. A, 256(1287), 559-584 (doi: 10.1098/rspa.1960.0127)
25. Nye JF (1963a) On the theory of the advance and retreat of glaciers. Geophys. J. R. Astron. Soc., 7(4), 431-456 (doi: 10.1111/j.1365- 246X.1963.tb07087.x)
26. Nye JF (1963b) The response of a glacier to changes in the rate of nourishment and wastage. Proc. R. Soc. London, Ser. A, 275(1360), 87-112 (doi: 10.1098/rspa.1963.0157)
27. Nye JF (1965) A numerical method of inferring the budget history of a glacier from its advance and retreat. J. Glaciol., 5(41), 589-607
28. Oerlemans H (2011) Minimal glacier models, 2nd edn. Igitur, Utrecht Publishing, Utrecht
29. Patankar SV (1980) Numerical heat transfer and fluid flow. Hemisphere, New York
30. Paterson WSB (1972) Laurentide ice sheet: estimated volumes during Late Wisconsin. Rev. Geophys. Space Phys., 10(4), 885-917 (doi: 10.1029/ RG010i004p00885)
31. Payne AJ, Vieli A, Shepherd A, Wingham DJ and Rignot E (2004) Recent dramatic thinning of largest West Antarctic ice stream triggered by oceans. Geophys. Res. Lett., 31(23), L23401 (doi: 10.1029/2004GL021284) (Pubitemid 40482447)
32. Post A (1975) Preliminary hydrography and historic terminal changes of Columbia Glacier, Alaska. USGS Hydrol. Invest. Atlas HA-559
33. Salathé EP, Jr, Mote PW and Wiley MW (2007) Review of scenario selection and downscaling methods for the assessment of climate change impacts on hydrology in the United States Pacific northwest. Int. J. Climatol., 27(12), 1611-1621 (doi: 10.1002/joc.1540) (Pubitemid 47604184)
34. Stone JO and 6 others (2003) Holocene deglaciation of Marie Byrd Land, West Antarctica. Science, 299(5603), 99-102 (doi: 10.1126/science.1077998) (Pubitemid 36042409)
35. Van der Veen CJ (1999) Fundamentals of glacier dynamics. A.A. Balkema, Rotterdam Vaughan DG, Corr HFJ, Doake CSM and Waddington ED (1999)
36. Vaughan DG, Corr HFJ, Doake CSM and Waddington ED (1999) Distortion of isochronous layers in ice revealed by groundpenetrating radar. Nature, 398(6725), 323-326 (doi: 10.1038/18653) (Pubitemid 29161684)
37. Versteeg HK and Malalasekera W (2007) An introduction to computational fluid dynamics: the finite volume method, 2nd edn. Pearson Education, Harlow
38. Waddington ED (1982) Accurate modelling of glacier flow. (PhD thesis, University of British Columbia)
39. Waddington ED, Neumann TA, Koutnik MR, Marshall H-P and Morse DL (2007) Inference of accumulation-rate patterns from deep layers in glaciers and ice sheets. J. Glaciol., 53(183), 694-712 (doi: 10.3189/002214307784409351)