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, moving meshes, time stepping, no tangling.
AB - <p style="text-align: justify;">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.</p>