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  • 1
    Online-Ressource
    Online-Ressource
    Berlin, Heidelberg :Springer Berlin / Heidelberg,
    Schlagwort(e): Glaciers. ; Ice sheets. ; Gletscher--Kontinuumsmechanik--Numerisches Modell. ; Glaciers. ram. ; Fluides, Dynamique des. ram. ; Inlandsis. ram. ; Gletscher. swd. ; Kontinuumsmechanik. swd. ; Numerisches Modell. swd. ; Electronic books.
    Beschreibung / Inhaltsverzeichnis: Based on general continuum mechanics, the different initial-boundary-value problems for the flow of ice sheets, ice shelves, ice caps and glaciers are systematically derived. Emphasis is put on developing approximation hierarchies for the different systems.
    Materialart: Online-Ressource
    Seiten: 1 online resource (296 pages)
    Ausgabe: 1st ed.
    ISBN: 9783642034152
    Serie: Advances in Geophysical and Environmental Mechanics and Mathematics Series
    DDC: 551.31
    Sprache: Englisch
    Anmerkung: Intro -- Preface -- Acknowledgements -- Contents -- Ice in the Climate System -- The Terrestrial Cryosphere -- Land Ice on the Present-Day Earth -- An Excursion into the Past -- Ice Sheets, Glaciers and Global Warming -- Vectors, Tensors and Their Representation -- Definition of a Vector, Basic Properties -- Representation of Vectors as Number Triples -- Tensors of Order 2 -- Higher Order Tensors -- Vector and Tensor Analysis -- Elements of Continuum Mechanics -- Bodies and Configurations -- Kinematics -- Deformation Gradient, Stretch Tensors -- Velocity, Acceleration, Velocity Gradient -- Balance Equations -- Reynolds' Transport Theorem -- General Balance Equation -- General Jump Condition -- Mass Balance -- Momentum Balance -- Balance of Angular Momentum -- Energy Balance -- Constitutive Equations -- Homogeneous Viscous Thermoelastic Bodies -- Linear Elastic Solid -- Newtonian Fluid -- Constitutive Equations for Polycrystalline Ice -- Microstructure of Ice -- Creep of Polycrystalline Ice -- Flow Relation -- Glen's Flow Law -- Regularised Glen's Flow Law -- Smith-Morland Flow Law -- Flow Enhancement Factor -- Heat Flux and Internal Energy -- Elasticity -- Large-Scale Dynamics of Ice Sheets -- Full Stokes Flow Problem -- Field Equations -- Boundary Conditions -- Ice Thickness Equation -- Hydrostatic Approximation -- First Order Approximation -- Shallow Ice Approximation -- Driving Stress -- Analytical Solutions -- Simplified Problem -- Vialov Profile -- Bueler Profile -- Numerical Methods -- Terrain-Following Coordinate Transformation -- Plane Strain Shallow Ice Equations -- Discretised Ice Sheet Equations -- Example: The EGIG Line of the Greenland Ice Sheet -- Large-Scale Dynamics of Ice Shelves -- Full Stokes Flow Problem -- Field Equations, Boundary Conditions at the Free Surface -- Boundary Conditions at the Ice Base. , Boundary Conditions at the Grounding Line and Calving Front -- Hydrostatic Approximation -- Shallow Shelf Approximation -- Ice Shelf Ramp -- Numerical Methods -- Mechanical Ice Shelf Problem -- Weak Formulation -- Discretisation of the Ice Shelf Domain -- Galerkin Finite Element Method -- Iteration -- Example: The Ross Ice Shelf -- Dynamics of Glacier Flow -- Glaciers Versus Ice Sheets -- Parallel Sided Slab -- Scaling Arguments and Hierarchy of Approximations -- First Order Plane Strain Approximation -- Basal Sliding -- General Remarks -- Mean Sliding over Rough Hard Beds -- Soft Beds on Sediment Layers -- Numerical Methods for the Stress and Velocity Fields -- Method of Lines -- Global Discretisation Schemes -- Vertical Velocity Component -- Trajectories -- Transverse First Order Flow Profiles -- Applications and Limitations of Glacier Models -- Information on Glaciers -- Inverse Problems -- The Shallowness of Glaciers -- Discontinuities -- Glacial Isostasy -- Background -- Structure of the Earth -- Simple Isostasy Models -- LLRA Model -- ELRA Model -- LLDA Model -- ELDA Model -- Analytical Solution for the Local Lithosphere -- Numerical Methods -- Local Lithosphere -- Elastic Lithosphere -- Relaxing Asthenosphere -- Diffusive Asthenosphere -- Model Intercomparison -- Advanced Topics -- Induced Anisotropy -- Background -- Anisotropic Generalisation of Glen's Flow Law -- Proof of Anisotropy for the CAFFE Flow Law -- Some Examples -- Evolution of Anisotropy -- Application to the EDML Core, Antarctica -- Compressible Firn -- Background -- Densification of Firn -- Constitutive Relation for Firn -- Field Equations -- Parallel Sided Slab -- Temperate and Polythermal Glaciers -- Background -- Temperate Ice -- Temperate Ice Surface -- Temperate Ice Base -- Transition Conditions at the CTS -- Parallel Sided Polythermal Slab -- Polythermal Glaciers. , Enthalpy Formulation -- Conclusions, Summary and Outlook -- References Cited or Recommended -- List of Symbols -- List of Acronyms -- Index.
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