Year: 2015
Author: M. J. Baines
Journal of Mathematical Study, Vol. 48 (2015), Iss. 2 : pp. 93–105
Abstract
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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v48n2.15.01
Journal of Mathematical Study, Vol. 48 (2015), Iss. 2 : pp. 93–105
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: PDEs moving meshes time stepping no tangling.