4.6 Article

An Efficient Boundary Integral Scheme for the Threshold Dynamics Method II: Applications to Wetting Dynamics

Journal

JOURNAL OF SCIENTIFIC COMPUTING
Volume 81, Issue 3, Pages 1860-1881

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-019-01067-1

Keywords

Threshold dynamics method; Nonuniform FFT; Heat equation; Wetting

Funding

  1. National Science Foundation [DMS-1720405]
  2. Flatiron Institute, a division of the Simons Foundation
  3. Hong Kong Research Grants Council (GRF) [16302715, 16324416, 16303318]

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In this paper, we extend the boundary integral scheme for the threshold dynamics method to treat the case where the material interface is nonsmooth and may undergo topological changes. The scheme is then applied to study the wetting dynamics in both two and three dimensions. Numerical experiments show that the scheme is more efficient as compared with the existing method using uniform grids, making accurate simulation of wetting dynamics on a chemically patterned solid surface in three dimensions within practical reach.

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