An ALE approach to mechano-chemical processes in fluid-structure interactions

• Verfasst von: Yang, Yifan [VerfasserIn]
• Verfasst von: Jäger, Willi [VerfasserIn]
• Verfasst von: Neuss-Radu, Maria [VerfasserIn]
• Titel: An ALE approach to mechano-chemical processes in fluid-structure interactions
• Verf.angabe: Yifan Yang, Thomas Richter, Willi Jäger and Maria Neuss‐Radu
• Jahr: 2017
• Umfang: 22 S.
• Teil: volume:84
• Teil: year:2017
• Teil: number:4
• Teil: pages:199-220
• Teil: extent:22
• Fussnoten: Published online 16 November 2016 ; Gesehen am 26.06.2018
• Titel Quelle: Enthalten in: International journal for numerical methods in fluids
• Ort Quelle: Chichester : Wiley, 1981
• Jahr Quelle: 2017
• Band/Heft Quelle: 84(2017), 4, Seite 199-220
• ISSN Quelle: 1097-0363
• DOI: doi:10.1002/fld.4345
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: finite elements
• Sach-SW: growth modeling
• Sach-SW: harmonic and biharmonic extension
• Sach-SW: local projection stabilization
• Sach-SW: mechano-chemical fluid-structure interaction
• Sach-SW: monolithic ALE framework
• Sach-SW: simulation of plaque formation
• K10plus-PPN: 1576876764

Abstract

Mathematical modeling and simulation of fluid-structure interaction problems are in the focus of research already for a longer period. However, taking into account also chemical reactions, leading to structural changes, including changes of mechanical properties of the solid phase, is rather new but for many applications is highly important area. This paper formulates a model system for reactive flow and transport in a vessel system, the penetration of chemical substances into the solid wall. Inside the wall, reactions take place that lead to changes of volume and of the mechanical properties of the wall. Numerical algorithms are developed and used to simulate the dynamics of such a mechano-chemical fluid-structure interaction problem. As a proof of concept scenario, plaque formation in blood vessels is chosen. The arbitrary Lagrangian Eulerian approach (ALE) is chosen to solve the systems numerically. Temporal discretization of the fully coupled monolithic model is accomplished by backward Euler scheme and spatial discretization by stabilized finite elements. The numerical approach is verified by numerical tests, and effective methods to maintain mesh qualities under large deformations are described. For realistic system parameters, the simulations show that the plaque formation in blood vessel is a long-time effect. The time scale of the formation is in the simulation of comparable order as in reality. Copyright © 2016 John Wiley & Sons, Ltd.