J. Math. Study, 48 (2015), pp. 93-105.
Published online: 2015-06
[An open-access article; the PDF is free to any online user.]
Cited by
- BibTex
- RIS
- TXT
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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v48n2.15.01}, url = {http://global-sci.org/intro/article_detail/jms/9912.html} }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.