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Volume 29, Issue 1
An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces

Xianmin Xu & Wenjun Ying

DOI: 10.4208/cicp.OA-2019-0194

Commun. Comput. Phys., 29 (2021), pp. 57-79.

Published online: 2020-11

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  • 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.

  • Keywords

Adaptive, threshold dynamics method, wetting.

  • AMS Subject Headings

65M08, 65M50, 76T10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-29-57, author = {Xu , Xianmin and Ying , Wenjun}, title = {An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces}, journal = {Communications in Computational Physics}, year = {2020}, volume = {29}, number = {1}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0194}, url = {http://global-sci.org/intro/article_detail/cicp/18422.html} }
TY - JOUR T1 - An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces AU - Xu , Xianmin AU - Ying , Wenjun JO - Communications in Computational Physics VL - 1 SP - 57 EP - 79 PY - 2020 DA - 2020/11 SN - 29 DO - http://doi.org/10.4208/cicp.OA-2019-0194 UR - https://global-sci.org/intro/article_detail/cicp/18422.html KW - Adaptive, threshold dynamics method, wetting. AB -

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.

Xu , Xianmin and Ying , Wenjun. (2020). An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces. Communications in Computational Physics. 29 (1). 57-79. doi:10.4208/cicp.OA-2019-0194
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