A cell based particle method for modeling dynamic interfaces

Sean Y. Hon, Shingyu Leung, Hongkai Zhao

Research output: Contribution to journalArticlepeer-review

Abstract

We propose several modifications to the grid based particle method (GBPM) [21] for moving interface modeling. There are several nice features of the proposed algorithm. The new method can significantly improve the distribution of sampling particles on the evolving interface. Unlike the original GBPM where footpoints (sampling points) tend to cluster to each other, the sampling points in the new method tend to be better separated on the interface. Moreover, by replacing the grid-based discretization using the cell-based discretization, we naturally decompose the interface into segments so that we can easily approximate surface integrals. As a possible alternative to the local polynomial least square approximation, we also study a geometric basis for local reconstruction in the resampling step. We will show that such modification can simplify the overall implementations. Numerical examples in two- and three-dimensions will show that the algorithm is computationally efficient and accurate.
Original languageEnglish
Pages (from-to)279-306
Number of pages28
JournalJournal of Computational Physics
Volume272
Early online date23 Apr 2014
DOIs
Publication statusPublished - 1 Sep 2014

User-Defined Keywords

  • Interfacial flows
  • Interface tracking
  • Eulerian underlying mesh
  • Lagrangian sampling particles

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