Adaptive Fast Interface Tracking Methods: Part II: Spatial Adaptivity
(English)Manuscript (preprint) (Other academic)
In this paper, we present a fast space-time adaptive numerical method for interface propagation in a time varying velocity field based on a multiresolution description of the interface. The interface is represented by wavelet vectors that correspond to the details of the interface on different scale levels.The method is an extension of the method proposed in "J. Popovic and O. Runborg, Adaptive fast interface tracking methods: Part I, preprint (2012)", which is only time adaptive and it is thus not suitable for problems with expanding interfaces. The method that we propose in this paper, remedies that disadvantage of the time adaptive method in an efficient way.
interface tracking, time-space adaptivity, multiresolution representation
IdentifiersURN: urn:nbn:se:kth:diva-105060OAI: oai:DiVA.org:kth-105060DiVA: diva2:568060
QS 20122012-11-152012-11-152012-11-16Bibliographically approved