A conservative level set method for contact line dynamics

  • Authors:

  • Sara Zahedi;Katarina Gustavsson;Gunilla Kreiss

  • Affiliations:

  • School of Computer Science and Communication, Royal Institute of Technology, 100 44 Stockholm, Sweden;School of Computer Science and Communication, Royal Institute of Technology, 100 44 Stockholm, Sweden;Division of Scientific Computing, Department of Information Technology, Uppsala University, 751 05 Uppsala, Sweden

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2009

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Abstract

A new model for simulating contact line dynamics is proposed. We apply the idea of driving contact-line movement by enforcing the equilibrium contact angle at the boundary, to the conservative level set method for incompressible two-phase flow [E. Olsson, G. Kreiss, A conservative level set method for two phase flow, J. Comput. Phys. 210 (2005) 225-246]. A modified reinitialization procedure provides a diffusive mechanism for contact-line movement, and results in a smooth transition of the interface near the contact line without explicit reconstruction of the interface. We are able to capture contact-line movement without loosing the conservation. Numerical simulations of capillary dominated flows in two space dimensions demonstrate that the model is able to capture contact line dynamics qualitatively correct.