Volume 48, Issue 2
Explicit Time-stepping for Moving Meshes

M. J. Baines

10.4208/jms.v48n2.15.01

J. Math. Study, 48 (2015), pp. 93-105.

Full Article 151 194
  • Abstract

In order tomove the nodes in amoving 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.

  • History

Submitted: 2015-06

Accepted: 2019-03

Published online: 2015-06

  • AMS Subject Headings

65M06, 65M20

  • Cited by