Partridge, D.; Baines, M. J. A moving mesh approach to an ice sheet model. (English) Zbl 1433.86004 Comput. Fluids 46, No. 1, 381-386 (2011). Summary: A moving mesh approach to the numerical modelling of problems governed by nonlinear time-dependent partial differential equations (PDEs) is applied to the numerical modelling of glaciers driven by ice diffusion and accumulation/ablation. The primary focus of the paper is to demonstrate the numerics of the moving mesh approach applied to a standard parabolic PDE model in reproducing the main features of glacier flow, including tracking the moving boundary (snout). A secondary aim is to investigate waiting time conditions under which the snout moves. Cited in 1 Document MSC: 86-08 Computational methods for problems pertaining to geophysics 86A40 Glaciology 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 76M20 Finite difference methods applied to problems in fluid mechanics Keywords:moving mesh; ice sheets; finite differences PDFBibTeX XMLCite \textit{D. Partridge} and \textit{M. J. Baines}, Comput. Fluids 46, No. 1, 381--386 (2011; Zbl 1433.86004) Full Text: DOI References: [1] Budd, C.; Huang, W.; Russell, R., Adaptivity with moving grids, Acta Numer, 18, 111-241 (2009) · Zbl 1181.65122 [2] Hambrey, M.; Alean, J., Glaciers (1992), Cambridge University Press [3] Oerlemans J. <http://www.geo.cornell.edu/geology/eos/iceflow/model_description.html; Oerlemans J. <http://www.geo.cornell.edu/geology/eos/iceflow/model_description.html [4] Partridge D. Analysis and computation of a simple glacier model using moving grids. Master’s thesis, Department of Mathematics, University of Reading; 2009.; Partridge D. Analysis and computation of a simple glacier model using moving grids. Master’s thesis, Department of Mathematics, University of Reading; 2009. [5] Payne, A. J.; Vieli, A., Assessing the ability of numerical ice sheet models to simulate grounding line migration, J Geophys Res, 110 (2005) [6] Rae, B.; Irving, D.; Hubbard, B.; McKinley, J., Preliminary investigations of centrifuge modelling of polycrystalline ice deformation, Ann Glaciol, 31 (2000) [7] Roberts R. Modelling glacier flow. Master’s thesis, Department of Mathematics, University of Reading; 2007.; Roberts R. Modelling glacier flow. Master’s thesis, Department of Mathematics, University of Reading; 2007. [8] Tezduyar, T.; Beh, M., A new strategy for finite element computations involving moving boundaries and interfaces. The deforming-spatial-domain/space-time procedure: I. The concept and the preliminary numerical tests, Comput Methods Appl Mech Eng, 94 (1992) · Zbl 0745.76044 [9] Van Der Veen, C. J., Fundamentals of glacier dynamics (1999), Taylor and Francis This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.