%0 Generic %1 vanBrummelen2015Elastocapillarity %A van Brummelen, E. H. %A Shokrpour-Roudbari, M. %A van Zwieten, G. J. %D 2015 %J arXiV > math.NA %K 74f10-fluid-solid-interactions 74s05-finite-element-methods-for-solid-mechanics 76d05-incompressible-navier-stokes-equations 76d45-capillarity-in-viscous-fluids 76m10-finite-element-methods-in-fluid-mechanics 82c24-time-dependent-statistical-mechanics-of-interface-problems cahn-hilliard nutils %N 02441 %T Elasto-capillarity Simulations based on the Navier-Stokes-Cahn-Hilliard Equations %U http://arxiv.org/abs/1510.02441 %V 1510 %X We consider a computational model for complex-fluid-solid interaction 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 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 complex-fluid-solid-interaction problem, based on an Arbitrary-Lagrangian-Eulerian formulation of the Navier-Stokes-Cahn-Hilliard equations and a proper reformulation of the complex-fluid traction and the fluid-solid surface tension. To validate the presented complex-fluid-solid-interaction model, we present numerical results and conduct a comparison to experimental data for a droplet on a soft substrate. %7 1

@misc{vanBrummelen2015Elastocapillarity, abstract = {{We consider a computational model for complex-fluid-solid interaction 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 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 complex-fluid-solid-interaction problem, based on an Arbitrary-Lagrangian-Eulerian formulation of the Navier-Stokes-Cahn-Hilliard equations and a proper reformulation of the complex-fluid traction and the fluid-solid surface tension. To validate the presented complex-fluid-solid-interaction model, we present numerical results and conduct a comparison to experimental data for a droplet on a soft substrate.}}, added-at = {2019-03-01T00:11:50.000+0100}, archiveprefix = {arXiv}, author = {van Brummelen, E. H. and Shokrpour-Roudbari, M. and van Zwieten, G. J.}, biburl = {https://www.bibsonomy.org/bibtex/24c3f847b6827de6d73ebda549cb0f683/gdmcbain}, citeulike-article-id = {14615501}, citeulike-linkout-0 = {http://arxiv.org/abs/1510.02441}, citeulike-linkout-1 = {http://arxiv.org/pdf/1510.02441}, edition = 1, eprint = {1510.02441}, interhash = {63a39a8b40d2933ef53f02d3ae0c1a20}, intrahash = {4c3f847b6827de6d73ebda549cb0f683}, journal = {arXiV > math.NA}, keywords = {74f10-fluid-solid-interactions 74s05-finite-element-methods-for-solid-mechanics 76d05-incompressible-navier-stokes-equations 76d45-capillarity-in-viscous-fluids 76m10-finite-element-methods-in-fluid-mechanics 82c24-time-dependent-statistical-mechanics-of-interface-problems cahn-hilliard nutils}, month = oct, number = 02441, posted-at = {2018-07-18 05:31:56}, priority = {5}, timestamp = {2019-03-01T00:11:50.000+0100}, title = {{Elasto-capillarity Simulations based on the Navier-Stokes-Cahn-Hilliard Equations}}, url = {http://arxiv.org/abs/1510.02441}, volume = 1510, year = 2015 }