Matches in SemOpenAlex for { <https://semopenalex.org/work/W800228741> ?p ?o ?g. }
- W800228741 abstract "A complete simulation of flowing ice requires knowledge of both the fundamental physicalprinciples that govern the stress and energy balances and a framework for assimilating data into a model to help estimate unknown parameters.Modelling ice is complex, due to the large spatial extent of ice sheets, the multiple scalesat which relevant physics operate, and the coupling between heat, stress, and ice rheology. As such, it is usually necessary to make approximations to the equations governing ice flow. At the same time, it is important to have an understanding of the specific assumptions that lead to these approximations. We develop a variational principle for Stokes flow, and neglect certain components in order to obtain the variational principle for the first-order approximation for ice flow. This result is fundamentally the result of assuming bed slopes to be much less than surface slopes, and that vertical resistive stresses are negligible. From a practical standpoint, using automatic differentiation tools on this functional yields a compact model of ice flow that automatically incorporates correct boundary condition. This model is compared to well known benchmark tests. We also present an improved model of ice thermodynamics that operates on enthalpy rather than temperature, avoiding many of the difficulties associated with phase change.We derive a method for inverting the Blatter-Pattyn ice sheet model in order to solve for therate of basal sliding. This method uses the adjoint equations of the forward model to obtainthe gradient of an error functional, and this is minimized using a quasi-Newton method. Thesemethods are applied to an instrumented streamline of the Greenland ice sheet. We perform numerical experiments on this geometry in order to assess the sensitivity of thermal conditions at the ice sheet bed to perturbations in unknown parameters. The basal thermal regime is sensitive to changes in geothermal heat flux, with the location of the transition zone between cold and temperate ice being linear sensitive to changes in it. The temperature field of the ice sheet is insensitive to downstream changes in sliding speed due to the short length scales over which longitudinal coupling acts." @default.
- W800228741 created "2016-06-24" @default.
- W800228741 creator A5045840409 @default.
- W800228741 date "2013-01-01" @default.
- W800228741 modified "2023-09-23" @default.
- W800228741 title "Variational Methods in Ice Sheet Modelling" @default.
- W800228741 cites W146953555 @default.
- W800228741 cites W1505645564 @default.
- W800228741 cites W1520703963 @default.
- W800228741 cites W1556203767 @default.
- W800228741 cites W1578281258 @default.
- W800228741 cites W1591608973 @default.
- W800228741 cites W1781084009 @default.
- W800228741 cites W1966282214 @default.
- W800228741 cites W1980858463 @default.
- W800228741 cites W1985630222 @default.
- W800228741 cites W1987902628 @default.
- W800228741 cites W1993571445 @default.
- W800228741 cites W1996012982 @default.
- W800228741 cites W1997249214 @default.
- W800228741 cites W2003433978 @default.
- W800228741 cites W2008352657 @default.
- W800228741 cites W2010630115 @default.
- W800228741 cites W2014688144 @default.
- W800228741 cites W2016950731 @default.
- W800228741 cites W2031248802 @default.
- W800228741 cites W2035400444 @default.
- W800228741 cites W2037128090 @default.
- W800228741 cites W2047507732 @default.
- W800228741 cites W2049570038 @default.
- W800228741 cites W2054794276 @default.
- W800228741 cites W2055256274 @default.
- W800228741 cites W2056039982 @default.
- W800228741 cites W2056753208 @default.
- W800228741 cites W2062374522 @default.
- W800228741 cites W2065470001 @default.
- W800228741 cites W2066295842 @default.
- W800228741 cites W2070611029 @default.
- W800228741 cites W2080060915 @default.
- W800228741 cites W2083514672 @default.
- W800228741 cites W2094160803 @default.
- W800228741 cites W2095710420 @default.
- W800228741 cites W2105572579 @default.
- W800228741 cites W2109911863 @default.
- W800228741 cites W2118407676 @default.
- W800228741 cites W2123042467 @default.
- W800228741 cites W2130272322 @default.
- W800228741 cites W2130406797 @default.
- W800228741 cites W2134159265 @default.
- W800228741 cites W2136363639 @default.
- W800228741 cites W2161306464 @default.
- W800228741 cites W2520539725 @default.
- W800228741 cites W3029645440 @default.
- W800228741 cites W3152993254 @default.
- W800228741 hasPublicationYear "2013" @default.
- W800228741 type Work @default.
- W800228741 sameAs 800228741 @default.
- W800228741 citedByCount "0" @default.
- W800228741 crossrefType "journal-article" @default.
- W800228741 hasAuthorship W800228741A5045840409 @default.
- W800228741 hasConcept C114793014 @default.
- W800228741 hasConcept C121332964 @default.
- W800228741 hasConcept C121864883 @default.
- W800228741 hasConcept C123750103 @default.
- W800228741 hasConcept C127313418 @default.
- W800228741 hasConcept C127413603 @default.
- W800228741 hasConcept C131584629 @default.
- W800228741 hasConcept C13280743 @default.
- W800228741 hasConcept C134306372 @default.
- W800228741 hasConcept C182310444 @default.
- W800228741 hasConcept C185798385 @default.
- W800228741 hasConcept C28826006 @default.
- W800228741 hasConcept C33923547 @default.
- W800228741 hasConcept C38349280 @default.
- W800228741 hasConcept C41008148 @default.
- W800228741 hasConcept C57879066 @default.
- W800228741 hasConcept C62354387 @default.
- W800228741 hasConcept C78519656 @default.
- W800228741 hasConcept C9259290 @default.
- W800228741 hasConceptScore W800228741C114793014 @default.
- W800228741 hasConceptScore W800228741C121332964 @default.
- W800228741 hasConceptScore W800228741C121864883 @default.
- W800228741 hasConceptScore W800228741C123750103 @default.
- W800228741 hasConceptScore W800228741C127313418 @default.
- W800228741 hasConceptScore W800228741C127413603 @default.
- W800228741 hasConceptScore W800228741C131584629 @default.
- W800228741 hasConceptScore W800228741C13280743 @default.
- W800228741 hasConceptScore W800228741C134306372 @default.
- W800228741 hasConceptScore W800228741C182310444 @default.
- W800228741 hasConceptScore W800228741C185798385 @default.
- W800228741 hasConceptScore W800228741C28826006 @default.
- W800228741 hasConceptScore W800228741C33923547 @default.
- W800228741 hasConceptScore W800228741C38349280 @default.
- W800228741 hasConceptScore W800228741C41008148 @default.
- W800228741 hasConceptScore W800228741C57879066 @default.
- W800228741 hasConceptScore W800228741C62354387 @default.
- W800228741 hasConceptScore W800228741C78519656 @default.
- W800228741 hasConceptScore W800228741C9259290 @default.
- W800228741 hasLocation W8002287411 @default.
- W800228741 hasOpenAccess W800228741 @default.