The segment projection method for interface tracking
2003 (English)In: Communications on Pure and Applied Mathematics, ISSN 0010-3640, E-ISSN 1097-0312, Vol. 56, no 1, 47-79 p.Article in journal (Refereed) Published
There has recently been important progress in the development of front tracking and level set methods for the numerical simulation of moving interfaces. The segment projection method is a new technique for computational geometry. It can be seen as a compromise between front tracking and level set methods. It is based on the regular mathematical representation of a manifold as an atlas of charts. Each chart or segment is evolved independently by a partial differential equation that is discretized on an Euldrian grid. The connectivity of the segments is handled by an appropriate data structure and by numerical interpolation. The method is presented and its properties are analyzed. Applications to multiphase flow, epitaxial growth, and high-frequency wave propagation are given.
Place, publisher, year, edition, pages
2003. Vol. 56, no 1, 47-79 p.
finite-difference calculation, front-tracking, viscosity solutions, epitaxial-growth, equations, flows
IdentifiersURN: urn:nbn:se:kth:diva-22100ISI: 000179596000002OAI: oai:DiVA.org:kth-22100DiVA: diva2:340798
QC 201005252010-08-102010-08-10Bibliographically approved