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A Moving Mesh Finite Element Method for the Solution of Two-Dimensional Stefan Problems

โœ Scribed by G. Beckett; J.A. Mackenzie; M.L. Robertson

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
652 KB
Volume
168
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

An r -adaptive moving mesh method is developed for the numerical solution of an enthalpy formulation of two-dimensional heat conduction problems with a phase change. The grid is obtained from a global mapping of the physical to the computational domain which is designed to cluster mesh points around the interface between the two phases of the material. The enthalpy equation is discretised using a semiimplicit Galerkin finite element method using linear basis functions. The moving finite element method is applied to problems where the phase front is cusp shaped and where the interface changes topology.

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