Bibliographic Details
| Title: |
AN ADAPTIVE FAST INTERFACE TRACKING METHOD. |
| Authors: |
Yana Di1 yndi@lsec.cc.ac.cn, Popovic, Jelena2 jelenap@csc.kth.se, Runborg, Olof3 olofr@nada.kth.se |
| Source: |
Journal of Computational Mathematics. Nov2015, Vol. 33 Issue 6, p576-586. 11p. |
| Subjects: |
Numerical analysis, Multiresolution time-domain method, Approximation error, Runge-Kutta formulas, Data structures |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
