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Explicit time-stepping for moving meshes

Baines, M. J. (2015) Explicit time-stepping for moving meshes. Journal of Mathematical Study, 48 (2). pp. 93-105. ISSN 1006-6837

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To link to this item DOI: 10.4208/jms.v48n2.15.01

Abstract/Summary

In order to move the nodes in a moving mesh method a time-stepping scheme is required which is ideally explicit and non-tangling (non-overtaking in one dimension (1-D)). Such a scheme is discussed in this paper, together with its drawbacks, and illustrated in 1-D in the context of a velocity-based Lagrangian conservation method applied to first order and second order examples which exhibit a regime change after node compression. An implementation in multidimensions is also described in some detail.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:45488
Publisher:Global Science Press

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