On two-phase flow solvers in irregular domains with contact line

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• 作者：Mathieu Lepilliez^a ; ^b ; ^c ; ^{mathieu.lepilliez@imft.fr" class="auth_mail" title="E-mail the corresponding author} ; Elena Roxana Popescu^a ; Frederic Gibou^d ; ^e ; Sé ; bastien Tanguy^a ; ^{tanguy@imft.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Sharp interface methods ; Irregular domains ; Implicit viscosity ; Contact lines ; Level set method ; Ghost-Fluid Method
• 刊名：Journal of Computational Physics
• 出版年：2016
• 出版时间：15 September 2016
• 年：2016
• 卷：321
• 期：Complete
• 页码：1217-1251
• 全文大小：4015 K

文摘

We present numerical methods that enable the direct numerical simulation of two-phase flows in irregular domains. A method is presented to account for surface tension effects in a mesh cell containing a triple line between the liquid, gas and solid phases. Our numerical method is based on the level-set method to capture the liquid–gas interface and on the single-phase Navier–Stokes solver in irregular domain proposed in [35] to impose the solid boundary in an Eulerian framework. We also present a strategy for the implicit treatment of the viscous term and how to impose both a Neumann boundary condition and a jump condition when solving for the pressure field. Special care is given on how to take into account the contact angle, the no-slip boundary condition for the velocity field and the volume forces. Finally, we present numerical results in two and three spatial dimensions evaluating our simulations with several benchmarks.