Elasto-capillarity simulations based on the Navier-Stokes-Cahn-Hilliard equations

E. H. Van Brummelen, M. Shokrpour-Roudbari, G. J. Van Zwieten

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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Abstract

We consider a computational model for complex-fluid-solid interaction (CSFI) based on a diffuse-interface model for the complex fluid and a hyperelastic-material model for the solid. The diffuse-interface complex-fluid model is described by the incompressible Navier-Stokes-Cahn-Hilliard (NSCH) equations with preferential-wetting boundary conditions at the fluid-solid interface. The corresponding fluid traction on the interface includes a capillary-stress contribution,and the dynamic interface condition comprises the traction exerted by the non-uniform fluid-solid surface tension. We present a weak formulation of the aggregated CSFI problem,based on an arbitrary-Lagrangian-Eulerian formulation of the NSCH equations and a proper reformulation of the complex-fluid traction and the fluid-solid surface tension. To validate the presented CSFI model,we present numerical results and conduct a comparison to experimental data for a droplet on a soft substrate.

Original languageEnglish
Title of host publicationAdvances in Computational Fluid-Structure Interaction and Flow Simulation
Subtitle of host publicationNew Methods and Challenging Computations
EditorsY. Bazilevs, K. Takizawa
Place of PublicationBerlin
PublisherSpringer
Pages451-462
Number of pages12
ISBN (Electronic)978-3-319-40827-9
ISBN (Print)978-3-319-40825-5
DOIs
Publication statusPublished - 2016

Publication series

NameModeling and Simulation in Science, Engineering and Technology
ISSN (Print)2164-3679

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    Van Brummelen, E. H., Shokrpour-Roudbari, M., & Van Zwieten, G. J. (2016). Elasto-capillarity simulations based on the Navier-Stokes-Cahn-Hilliard equations. In Y. Bazilevs, & K. Takizawa (Eds.), Advances in Computational Fluid-Structure Interaction and Flow Simulation: New Methods and Challenging Computations (pp. 451-462). (Modeling and Simulation in Science, Engineering and Technology). Springer. https://doi.org/10.1007/978-3-319-40827-9_35