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

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  • 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)

  • BibTex
  • RIS
  • TXT
@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} }
TY - JOUR T1 - Explicit Time-stepping for Moving Meshes AU - Baines , M. J. JO - Journal of Mathematical Study VL - 2 SP - 93 EP - 105 PY - 2015 DA - 2015/06 SN - 48 DO - http://doi.org/10.4208/jms.v48n2.15.01 UR - https://global-sci.org/intro/article_detail/jms/9912.html KW - PDEs KW - moving meshes KW - time stepping KW - no tangling AB -

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.

M. J. Baines. (2019). Explicit Time-stepping for Moving Meshes. Journal of Mathematical Study. 48 (2). 93-105. doi:10.4208/jms.v48n2.15.01
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