Year: 2015
Author: Yana Di, Jelena Popovic, Olof Runborg
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 6 : pp. 576–586
Abstract
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1503-m4532
Journal of Computational Mathematics, Vol. 33 (2015), Iss. 6 : pp. 576–586
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Interface tracking Multiresolution adaptivity Fast algorithms
Author Details
-
Adaptive fast interface tracking methods
Popovic, Jelena
Runborg, Olof
Journal of Computational Physics, Vol. 337 (2017), Iss. P.42
https://doi.org/10.1016/j.jcp.2017.02.017 [Citations: 1]