An adaptive isogeometric analysis approach to elasto-capillary fluid-solid interaction

E.H. van Brummelen (Corresponding author), T.H.B. Demont, G.J. van Zwieten

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1 Citation (Scopus)


We present an adaptive isogeometric-analysis approach to elasto-capillary fluid-solid interaction (FSI), based on a diffuse-interface model for the binary fluid and an Arbitrary-Lagrangian-Eulerian formulation for the FSI problem. We consider approximations constructed from adaptive high-regularity truncated hierarchical splines, as employed in the isogeometric analysis (IGA) paradigm. The considered adaptive strategy comprises a two-level hierarchical a posteriori error estimate. The hierarchical a posteriori error estimate directs a support-based refinement procedure. To attain robustness of the solution procedure for the aggregated binary-fluid-solid-interaction problem, we apply a fully monolithic solution procedure and we introduce a continuation process in which the diffuse interface of the binary fluid is artificially enlarged on the coarsest levels of the adaptive-refinement procedure. To assess the capability of the presented adaptive IGA method for elasto-capillary FSI, we conduct numerical computations for a configuration pertaining to a sessile droplet on a soft solid substrate.

Original languageEnglish
JournalInternational Journal for Numerical Methods in Engineering
Issue numberXX
Publication statusAccepted/In press - 1 Jan 2020


  • adaptive refinement
  • elasto-capillarity
  • fluid-solid interaction
  • isogeometric analysis
  • Navier-Stokes-Cahn-Hilliard equations

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