Mokbel, Dominic and Abels, Helmut and Aland, Sebastian (2018) A phase-field model for fluid-structure interaction. JOURNAL OF COMPUTATIONAL PHYSICS, 372. pp. 823-840. ISSN 0021-9991, 1090-2716
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In this paper, we develop a novel phase-field model for fluid-structure interaction (FSI), that is capable to handle very large deformations as well as topology changes like contact of the solid to a wall. The model is based on a fully Eulerian description of the velocity field in both, the fluid and the elastic domain. Viscous and elastic stresses in the Navier-Stokes equations are restricted to the corresponding domains by multiplication with their characteristic functions. The solid is described as a hyperelastic neo-Hookean material and the elastic stress is obtained by solving an additional Oldroyd-B - like equation. Thermodynamically consistent forces are derived by energy variation. The convergence of the derived equations to the traditional sharp interface formulation of fluid-structure interaction is shown by matched asymptotic analysis. The model is evaluated in a challenging benchmark scenario of an elastic body traversing a fluid channel. A comparison to reference values from Arbitrary Lagrangian Eulerian (ALE) simulations shows very good agreement. We highlight some distinct advantages of the new model, like the avoidance of re-triangulations and the stable inclusion of surface tension. Further, we demonstrate how simple it is to include contact dynamics into the model, by simulating a ball bouncing off a wall. We extend this scenario to include adhesion of the ball, which to our knowledge, cannot be simulated with any other FSI model. While we have restricted simulations to fluid-structure interaction, the model is capable to simulate any combination of viscous fluids, visco-elastic fluids and elastic solids. (C) 2018 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIFFUSE INTERFACE MODELS; 2-PHASE FLOW; COMPLEX GEOMETRIES; DOMAIN APPROACH; SURFACTANTS; FORMULATION; DYNAMICS; SCHEMES; Fluid-structure interaction; Phase-field; Diffuse interface; Viscoelasticity; Contact problem; Fully Eulerian |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Dec 2019 10:18 |
| Last Modified: | 04 Dec 2019 10:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/13660 |
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