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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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
Pages (from-to)5331-5352
Number of pages22
JournalInternational Journal for Numerical Methods in Engineering
Issue number19
Publication statusPublished - 15 Oct 2021

Bibliographical note

Funding Information:
This research was partly conducted within the Industrial Partnership Program (), a joint research program of Canon Production Printing, Eindhoven University of Technology, University of Twente, and the Netherlands Organization for Scientific Research (NWO). THBD gratefully acknowledges financial support through the FIP program. All simulations have been performed using the open source software package Nutils ( ). Fundamental Fluid Dynamics Challenges in Inkjet Printing FIP 52

Publisher Copyright:
© 2020 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons, Ltd.

Copyright 2020 Elsevier B.V., All rights reserved.


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


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