A Higher-Order Boundary Treatment for Cartesian-Grid Methods

1998 ◽  
Vol 140 (2) ◽  
pp. 259-277 ◽  
Author(s):  
Hans Forrer ◽  
Rolf Jeltsch
Keyword(s):  
Higher Order ◽  
Cartesian Grid ◽  
Boundary Treatment ◽  
Cartesian Grid Methods

Adaptive Cartesian grid methods for representing geometry in inviscid compressible flow

1993 ◽  
Author(s):  
RICHARD PEMBER ◽  
JOHN BELL ◽  
PHILLIP COLELLA ◽  
WILLIAM CRUTCHFIELD ◽  
MICHAEL WELCOME
Keyword(s):  
Compressible Flow ◽  
Cartesian Grid ◽  
Cartesian Grid Methods ◽  
Inviscid Compressible Flow ◽  
Adaptive Cartesian Grid

scholarly journals Data assimilation and prognostic whole ice-sheet modelling with the variationally derived, higher-order, open source, and fully parallel ice sheet model VarGlaS

2013 ◽  
Vol 7 (2) ◽  
pp. 1029-1074
Author(s):  
D. J. Brinkerhoff ◽  
J. V. Johnson
Keyword(s):  
Standard Procedure ◽  
Ice Sheet ◽  
Greenland Ice Sheet ◽  
Energy Functional ◽  
Higher Order ◽  
Benchmark Problems ◽  
Model Inversion ◽  
Boundary Treatment ◽  
Coherent Relationship ◽  
Ice Sheet Modelling

Abstract. We introduce a novel, higher order, finite element ice sheet model called VarGlaS (Variational Glacier Simulator). Contrary to standard procedure in ice sheet modelling, VarGlaS formulates ice sheet motion as the minimization of an energy functional, conferring advantages such as a consistent platform for making numerical approximations, a coherent relationship between motion and heat generation, and implicit boundary treatment. VarGlaS also solves the equations of enthalpy rather than temperature, avoiding the solution of a contact problem. Rather than include a lengthy model spin-up procedure, VarGlaS possesses an automated framework for model inversion. These capabilities are brought to bear on several benchmark problems in ice sheet modelling, as well as a 500 yr simulation of the Greenland ice sheet at high resolution. VarGlaS performs well in benchmarking experiments, and given a constant climate, predicts an overall mass evolution of the Greenland ice sheet that matches well with observational data.

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