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| Titel |
Manufactured analytical solutions for isothermal full-Stokes ice sheet models |
| VerfasserIn |
A. Sargent, J. L. Fastook |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1994-0416
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| Digitales Dokument |
URL |
| Erschienen |
In: The Cryosphere ; 4, no. 3 ; Nr. 4, no. 3 (2010-08-18), S.285-311 |
| Datensatznummer |
250001764
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| Publikation (Nr.) |
 copernicus.org/tc-4-285-2010.pdf |
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| Zusammenfassung |
We present the detailed construction of a manufactured analytical solution to
time-dependent and steady-state isothermal full-Stokes ice sheet problems.
The solutions are constructed for two-dimensional flowline and
three-dimensional full-Stokes ice sheet models with variable viscosity. The
construction is done by choosing for the specified ice surface and bed a
velocity distribution that satisfies both mass conservation and the kinematic
boundary conditions. Then a compensatory stress term in the conservation of
momentum equations and their boundary conditions is calculated to make the
chosen velocity distributions as well as the chosen pressure field into exact
solutions. By substituting different ice surface and bed geometry formulas
into the derived solution formulas, analytical solutions for different
geometries can be constructed.
The boundary conditions can be specified as essential Dirichlet conditions or
as periodic boundary conditions. By changing a parameter value, the
analytical solutions allow investigation of algorithms for a different range
of aspect ratios as well as for different, frozen or sliding, basal
conditions. The analytical solutions can also be used to estimate the
numerical error of the method in the case when the effects of the boundary
conditions are eliminated, that is, when the exact solution values are
specified as inflow and outflow boundary conditions. |
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