An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces

An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces

Year:    2021

Author:    Xianmin Xu, Wenjun Ying

Communications in Computational Physics, Vol. 29 (2021), Iss. 1 : pp. 57–79

Abstract

We propose an adaptive threshold dynamics method for wetting problems in three space dimensions. The method is based on solving a linear heat equation and a thresholding step in each iteration. The heat equation is discretized by a cell-centered finite volume method on an adaptively refined mesh. An efficient technique for volume conservation is developed on the nonuniform meshes based on a quick-sorting operation. By this method, we compute some interesting wetting problems on complicated surfaces. Numerical results verify some recent theories for the apparent contact angle on rough and chemically patterned surfaces.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2019-0194

Communications in Computational Physics, Vol. 29 (2021), Iss. 1 : pp. 57–79

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    Adaptive threshold dynamics method wetting.

Author Details

Xianmin Xu

Wenjun Ying

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