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A Numerical Method for Dynamic Wetting Using Mesoscopic Contact-Line Models

A Numerical Method for Dynamic Wetting Using Mesoscopic Contact-Line Models

Year:    2024

Author:    Jian Qin, Wei Lu, Peng Gao

Communications in Computational Physics, Vol. 36 (2024), Iss. 4 : pp. 977–995

Abstract

Numerical simulation of wetting or dewetting processes is challenging due to the multiscale feature of the moving contact line. This paper presents a numerical method to simulate three-dimensional wetting processes in the framework of lubrication equation and Navier slip condition. A mesoscopic model of the moving contact line is implemented with a cutoff of the computational domain at a small distance from the contact line, where boundary conditions derived from the asymptotic solution of the intermediate region are imposed. This procedure avoids the high resolution required by the local interface near the contact line and enables the adoption of physically small slip lengths. We employ a finite element method to solve the lubrication equation, combined with an arbitrary Lagrangian-Eulerian method to handle the moving boundaries. The method is validated by examining the spreading or sliding of a liquid drop on the wall. The numerical results agree with available exact solutions and approximate theories.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2024-0044

Communications in Computational Physics, Vol. 36 (2024), Iss. 4 : pp. 977–995

Published online:    2024-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Moving boundary problem moving contact line wetting lubrication equation.

Author Details

Jian Qin

Wei Lu

Peng Gao

  1. Boundary element simulations of dynamic wetting with a mesoscale contact line model

    Zhang, Zheming

    Gao, Peng

    Physics of Fluids, Vol. 36 (2024), Iss. 12

    https://doi.org/10.1063/5.0237962 [Citations: 0]