A three-dimensional volume-of-fluid method for reconstructing and advecting three-material interfaces forming contact lines.pdfVIP

Journal of Computational Physics 307 (2016) 550–573 Contents lists available at ScienceDirect Journal of Computational Physics /locate/jcp A three-dimensional volume-of-?uid method for reconstructing and advecting three-material interfaces forming contact lines Ashish Pathak, Mehdi Raessi ? Department of Mechanical Engineering, University of Massachusetts Dartmouth, North Dartmouth, MA 02747, United States article info Article history: Received 19 May 2015 Received in revised form 15 November 2015 Accepted 18 November 2015 Available online 11 December 2015 Keywords: Contact line Contact angle Three-material Volume-of-?uid PLIC abstract We introduce a piecewise-linear, volume-of-?uid method for reconstructing and advecting three-dimensional interfaces and contact lines formed by three materials. The new method employs a set of geometric constructs that can be used in conjunction with any volumetracking scheme. In this work, we used the mass-conserving scheme of Youngs to handle two-material cells, perform interface reconstruction in three-material cells, and resolve the contact line. The only information required by the method is the available volume fraction ?eld. Although the proposed method is order dependent and requires a priori information on material ordering, it is suitable for typical contact line applications, where the material representing the contact surface is always known. Following the reconstruction of the contact surface, to compute the interface orientation in a three-material cell, the proposed method minimizes an error function that is based on volume fraction distribution around that cell. As an option, the minimization procedure also allows the user to impose a contact angle. Performance of the proposed method is assessed via both static and advection test cases. The tests show that the new method preserves the accuracy and mass-conserving property of the Youngs method in volume-tracking three materials. ? 2015 Elsevier Inc. All rights reserved