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

M. J. Baines

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

Published online: 2015-06

[An open-access article; the PDF is free to any online user.]

Preview Full PDF 571 1115
Export citation
  • 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.

  • Keywords

PDEs moving meshes time stepping no tangling

  • AMS Subject Headings

65M06 65M20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

m.j.baines@reading.ac.uk (M. J. Baines)

  • References
  • Hide All
    View All

@Article{JMS-48-93, author = {Baines , M. J. }, title = {Explicit Time-stepping for Moving Meshes}, journal = {Journal of Mathematical Study}, year = {2015}, volume = {48}, number = {2}, pages = {93--105}, 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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v48n2.15.01}, url = {http://global-sci.org/intro/article_detail/jms/9912.html} }
Copy to clipboard
The citation has been copied to your clipboard