Keywords:
Glaciers.
;
Ice sheets.
;
Gletscher--Kontinuumsmechanik--Numerisches Modell.
;
Glaciers. ram.
;
Fluides, Dynamique des. ram.
;
Inlandsis. ram.
;
Gletscher. swd.
;
Kontinuumsmechanik. swd.
;
Numerisches Modell. swd.
;
Electronic books.
Description / Table of Contents:
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.
Type of Medium:
Online Resource
Pages:
1 online resource (296 pages)
Edition:
1st ed.
ISBN:
9783642034152
Series Statement:
Advances in Geophysical and Environmental Mechanics and Mathematics Series
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=478168
DDC:
551.31
Language:
English
Note:
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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