A numerical comparison of approximations to the Stokes equations used in ice sheet and glacier modeling

By R. Hindmarsh. 2004

214 citations recorded by the source corpus.

Subfields: Atmospheric Science, Pulmonary and Respiratory Medicine

View Paper: https://www.semanticscholar.org/paper/7de8a676f38628645aa1645229c66723c5cbd8c3

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In Atmospheric Science

In Pulmonary and Respiratory Medicine

Citations in the corpus

Shallow shelf approximation as a “sliding law” in a thermomechanically coupled ice sheet model (2008, methodology): “Rigorous small-parameter arguments explain how to simplify from Stokes to ‘‘higher-order models’’ [Blatter, 1995;Hindmarsh, 2004], and from the Blatter [1995] model to the SIA and the SSA (C.”
Thin-Film Flows with Wall Slip: An Asymptotic Analysis of Higher Order Glacier Flow Models (2010, methodology): “1 A depth-integrated model of nearly equal accuracy to Blatter’s model A great deal of recent work has been invested in developing higher order models that perform as well, or at least nearly as well, as Blatter’s model but that can be depth-integrated (24).”
Deglaciation of the Eurasian ice sheet complex (2017, methodology): “The approach to solving the three dimensional stress/strain field equates to the L1L2 classification of higherorder models defined by Hindmarsh (2004), and includes longitudinal (membrane) stresses that become increasingly important across steep gradients in topography and motion.”
Continental scale, high order, high spatial resolution, ice sheet modeling using the Ice Sheet System Model (ISSM) (2012, background): “14 of 20 any further, because at that resolution, relevant information is smeared by the ice flow model itself [Gudmundsson, 2003; Hindmarsh, 2004; Truffer, 2004].”
Benchmark experiments for higher-order and full-Stokes ice sheet models (ISMIP-HOM) (2008, methodology): “The different Stokes approximants extend the shallow-ice approximation in various ways ( Hutter, 1983; Hindmarsh, 2004). We will follow here the classification scheme for higher-order models by Hindmarsh(2004), who gives a detailed description of the different “longitudinal stress schemes” widely us”
A variationally derived, depth-integrated approximation to a higher-order glaciological flow model (2011, methodology): “However, the way they define effective viscosity differs from Equation (16), and Hindmarsh (2004) solves for surface velocity instead of depth-averaged velocity.”