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

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

5 Citations (Scopus)

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.

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
StatePublished - 2016

Publication series

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

Fingerprint

Capillarity
Complex Fluids
Cahn-Hilliard Equation
Navier-Stokes Equations
Diffuse Interface
Fluid
Fluids
Surface Tension
Simulation
Fluid-solid Interaction
Hyperelastic Material
Traction (friction)
Interface Conditions
Weak Formulation
Wetting
Incompressible Navier-Stokes Equations
Fluid Model
Reformulation
Droplet
Computational Model

Cite this

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

Elasto-capillarity simulations based on the Navier-Stokes-Cahn-Hilliard equations. / Van Brummelen, E. H.; Shokrpour-Roudbari, M.; Van Zwieten, G. J.

Advances in Computational Fluid-Structure Interaction and Flow Simulation: New Methods and Challenging Computations. ed. / Y. Bazilevs; K. Takizawa. Berlin : Springer, 2016. p. 451-462 (Modeling and Simulation in Science, Engineering and Technology).

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

TY - CHAP

T1 - Elasto-capillarity simulations based on the Navier-Stokes-Cahn-Hilliard equations

AU - Van Brummelen,E. H.

AU - Shokrpour-Roudbari,M.

AU - Van Zwieten,G. J.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

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DO - 10.1007/978-3-319-40827-9_35

M3 - Chapter

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T3 - Modeling and Simulation in Science, Engineering and Technology

SP - 451

EP - 462

BT - Advances in Computational Fluid-Structure Interaction and Flow Simulation

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Van Brummelen EH, Shokrpour-Roudbari M, Van Zwieten GJ. Elasto-capillarity simulations based on the Navier-Stokes-Cahn-Hilliard equations. In Bazilevs Y, Takizawa K, editors, Advances in Computational Fluid-Structure Interaction and Flow Simulation: New Methods and Challenging Computations. Berlin: Springer. 2016. p. 451-462. (Modeling and Simulation in Science, Engineering and Technology). Available from, DOI: 10.1007/978-3-319-40827-9_35