@Article{JMS-48-2, author = {M., J., Baines}, 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 = {https://global-sci.com/article/87820/explicit-time-stepping-for-moving-meshes} }