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The Numerical Solution of One-Dimensional Phase Change Problems Using an Adaptive Moving Mesh Method

✍ Scribed by J.A. Mackenzie; M.L. Robertson

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 292 KB
Volume: 161
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2000.6511

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✦ Synopsis

An adaptive moving mesh method is developed for the numerical solution of an enthalpy formulation of heat conduction problems with a phase change. The algorithm is based on a very simple mesh modification strategy that allows the smooth evolution of mesh nodes to track interfaces. At each time step the nonlinear enthalpy equation is solved using a novel semi-implicit moving mesh discretisation which is shown to possess a unique solution. Numerical examples are given for a two-phase freezing problem, a model of a spot-welding process, and a three-phase problem with a varying number of interfaces. These test cases demonstrate the accuracy and effectiveness of the overall strategy.

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