An adaptive isogeometric analysis approach to elasto‐capillary fluid‐solid interaction. (16th June 2020)

• Record Type: Journal Article
• Authors: van Brummelen, E. H.; Demont, T. H. B.; van Zwieten, G. J.
• Other Names: van Brummelen E. Harald guestEditor.; Farhat Charbel guestEditor.
• Is Part Of: International journal for numerical methods in engineering. Volume 122:Number 19(2021)
• Page Start: 5331
• Page End: 5352
• Publication Date: 2020-06-16
• Subjects: adaptive refinement -- elasto‐capillarity -- fluid‐solid interaction -- isogeometric analysis -- Navier‐Stokes‐Cahn‐Hilliard equations; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.6388
• Languages: English
• ISSNs: 0029-5981

Abstract

Summary: 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.