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Simulation of flows with moving contact lines on a dual-resolution Cartesian grid using a diffuse-interface immersed-boundary method

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Abstract

In this paper, we investigate flows with moving contact lines on curved solid walls on a dual-resolution grid using a diffuse-interface immersed-boundary (DIIB) method. The dual-resolution grid, on which the flows are solved on a coarse mesh while the interface is resolved on a fine mesh, was shown to significantly improve the computational efficiency when simulating multiphase flows. On the other hand, the DIIB method is able to resolve dynamic wetting on curved substrates on a Cartesian grid, but it usually requires a mesh of high resolution in the vicinity of a moving contact line to resolve the local flow. In the present study, we couple the DIIB method with the dual-resolution grid, to improve the interface resolution for flows with moving contact lines on curved solid walls at an affordable cost. The dynamic behavior of moving contact lines is validated by studying drop spreading, and the numerical results suggest that the effective slip length λn can be approximated by 1.9Cn, where Cn is a dimensionless measure of the thickness of the diffuse interface. We also apply the method to drop impact onto a convex substrate, and the results on the dual-resolution grid are in good agreement with those on a single-resolution grid. It shows that the axisymmetric simulations using the DIIB method on the dual-resolution grid saves nearly 60% of the computational time compared with that on a single-resolution grid.

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Authors and Affiliations

  1. Department of Modern Mechanics, University of Science and Technology of China, Hefei, 230027, China

    Hao-ran Liu  (刘浩然), Han Li  (李晗) & Hang Ding  (丁航)

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  1. Hao-ran Liu  (刘浩然)
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  2. Han Li  (李晗)
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  3. Hang Ding  (丁航)
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Corresponding author

Correspondence to Hang Ding  (丁航).

Additional information

Project supported by the National Natural Science Foundation of China (Grant Nos. 11425210, 11621202 and 11672288).

Biography: Hao-ran Liu (1989-), Male, Ph. D.

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Liu, Hr., Li, H. & Ding, H. Simulation of flows with moving contact lines on a dual-resolution Cartesian grid using a diffuse-interface immersed-boundary method. J Hydrodyn 29, 774–781 (2017). https://doi.org/10.1016/S1001-6058(16)60788-6

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  • DOI: https://doi.org/10.1016/S1001-6058(16)60788-6

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