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In the present work, a mixed least‐squares finite element method (LSFEM) is used, which is applied on the partial differential equations arising from the Theory of Porous Media (TPM), see for example [1, 2, 3]. Since the LSFEM is not limited to the LBB condition, the method has some theoretical advantages over the well‐known (mixed) Galerkin method, see [4]. In particular, the LSFEM leads to positive...
Earth System Models (ESM), simulating sea ice and its interaction with the atmosphere and open ocean, require reliable physical, chemical, and biological input from measurements. There is limited data available from the Marginal Ice Zone of the Antarctic, where sea ice growth mechanisms differ from the Arctic. The main objective of this study is to review existing work related to Antarctic sea ice...
The viscous‐plastic sea ice model of [2] describes the motion of sea ice on large scales. The numerical model of the sea ice drift considers velocities and stresses and is coupled with the field quantities ice thickness and ice concentration, which are modeled by transient advection equations. Here, the viscosity in sense of a non‐Newtonian fluid depends on velocity gradients, as well as on ice concentration...
In this contribution, we present an approach to model steady flow of incompressible non‐Newtonian fluids with data assimilation into the numerical solution based on the least‐squares finite element method (LSFEM). The assimilation of data (e.g. experimental or analytical) into numerical simulations offers promising possibilities when examining complex problems. Potential applications include the enhancement...
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