Acceleration of contour dynamics simulations with a hierarchical-element method

P.W.C. Vosbeek; H.J.H. Clercx; R.M.M. Mattheij

doi:10.1006/jcph.2000.6505

Acceleration of contour dynamics simulations with a hierarchical-element method

P.W.C. Vosbeek, H.J.H. Clercx, R.M.M. Mattheij

Research output: Contribution to journal › Article › Academic › peer-review

6 Citations (Scopus)

Abstract

This paper presents a so-called hierarchical-element method that can be used to accelerate complex contour dynamics simulations. The method is based on a modified fast multipole method where the multipole approximations are replaced by Poisson integrals. In this paper, attention is being paid to the theoretical derivation of the method. Furthermore, numerical and implementation aspects are considered. Various numerical simulations show that the speed-up of the method is significant, while the accuracy of the results is not being influenced.

Original language	English
Pages (from-to)	287-311
Journal	Journal of Computational Physics
Volume	161
Issue number	1
DOIs	https://doi.org/10.1006/jcph.2000.6505
Publication status	Published - 2000

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abstract = "This paper presents a so-called hierarchical-element method that can be used to accelerate complex contour dynamics simulations. The method is based on a modified fast multipole method where the multipole approximations are replaced by Poisson integrals. In this paper, attention is being paid to the theoretical derivation of the method. Furthermore, numerical and implementation aspects are considered. Various numerical simulations show that the speed-up of the method is significant, while the accuracy of the results is not being influenced.",

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AU - Clercx, H.J.H.

AU - Mattheij, R.M.M.

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AB - This paper presents a so-called hierarchical-element method that can be used to accelerate complex contour dynamics simulations. The method is based on a modified fast multipole method where the multipole approximations are replaced by Poisson integrals. In this paper, attention is being paid to the theoretical derivation of the method. Furthermore, numerical and implementation aspects are considered. Various numerical simulations show that the speed-up of the method is significant, while the accuracy of the results is not being influenced.

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EP - 311

JO - Journal of Computational Physics

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