A coupled multivalued model for ice streams and its numerical simulation |
| |
Authors: | Calvo Nati; Durany Jose; Munoz Ana I; Schiavi Emanuele; Vazquez Carlos |
| |
Institution: |
1 Departamento de Matemática Aplicada II, ETSI de Telecomunicaciones, Universidad de Vigo, Campus Marcosende s/n, 36280-Vigo, Spain, 2 Departamento de Matemáticas, Física Aplicadas y Ciencias de la Naturaleza, ESCET Universidad Rey Juan Carlos, E 28933 Móstoles, Madrid, Spain, 3 Departamento de Matemáticas, Facultad de Informática, Universidade da Coruña, Campus Elviña s/n, 15071-A Coruña, Spain
|
| |
Abstract: | ** Email: nati{at}dma.uvigo.es*** Email: durany{at}dma.uvigo.es**** Email: anaisabel.munoz{at}urjc.es***** Email: emanuele.schiavi{at}urjc.es****** Email: carlosv{at}udc.es This paper deals with the numerical solution of a non-linearmodel describing a free-boundary problem arising in modern glaciology.Considering a shallow, viscous ice sheet flow along a soft,deformable bed, a coupled non-linear system of differentialequations can be obtained. Particularly, an obstacle problemis then deduced and solved in the framework of its complementarityformulation. We present the numerical solution of the resultingmultivalued system modelling the ice sheet non-Newtonian dynamicsdriven by the underlying drainage system. Our numerical resultsshow the existence of fast ice streams when positive wave-likeinitial conditions are considered. The solutions are numericallycomputed with a decoupling iterative method and finite-elementtechnique. A duality algorithm and a projected GaussSeidelmethod are the alternatives used to cope with the resultingvariational inequality while the explicit treatment, Newtonmethod or a duality method are proposed to deal with the non-linearsource term. Finally, the numerical solutions are physicallyinterpreted and some comparisons among the numerical methodsare then discussed. |
| |
Keywords: | ice sheet models free boundaries weak solutions characteristics method finite elements duality methods |
本文献已被 Oxford 等数据库收录! |
|