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AN ADAPTIVE FAST INTERFACE TRACKING METHOD
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0002-6321-8619
2015 (English)In: Journal of Computational Mathematics, ISSN 0254-9409, E-ISSN 1991-7139, Vol. 33, no 6, 576-586 p.Article in journal (Refereed) PublishedText
Abstract [en]

An adaptive numerical scheme is developed for the propagation of an interface in a velocity field based on the fast interface tracking method proposed in [2]. A multiresolution stategy to represent the interface instead of point values, allows local grid refinement while controlling the approximation error on the interface. For time integration, we use an explicit Runge-Kutta scheme of second-order with a multiscale time step, which takes longer time steps for finer spatial scales. The implementation of the algorithm uses a dynamic tree data structure to represent data in the computer memory. We briefly review first the main algorithm, describe the essential data structures, highlight the adaptive scheme, and illustrate the computational efficiency by some numerical examples.

Place, publisher, year, edition, pages
Global Science Press, 2015. Vol. 33, no 6, 576-586 p.
Keyword [en]
Interface tracking, Multiresolution, adaptivity, Fast algorithms
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-180181DOI: 10.4208/jcm.1503-m4532ISI: 000365818500002ScopusID: 2-s2.0-84954535063OAI: oai:DiVA.org:kth-180181DiVA: diva2:892675
Note

QC 20150111

Available from: 2016-01-11 Created: 2016-01-07 Last updated: 2016-01-11Bibliographically approved

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Popovic, JelenaRunborg, Olof
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Numerical Analysis, NASeRC - Swedish e-Science Research Centre
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