@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 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} }