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

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Yang Y, Richter T, Jäger W, Neuss-Radu M
Zeitschrift: International Journal For Numerical Methods in Fluids
Verlag: WILEY
Jahr der Veröffentlichung: 2017
Band: 84
Heftnummer: 4
Seitenbereich: 199-220
ISSN: 0271-2091


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 (c) 2016 John Wiley & Sons, Ltd.


Einrichtungen weiterer Autorinnen und Autoren

Otto-von-Guericke-Universität Magdeburg
Ruprecht-Karls-Universität Heidelberg


Zitierweisen

APA:
Yang, Y., Richter, T., Jäger, W., & Neuss-Radu, M. (2017). An ALE approach to mechano-chemical processes in fluid-structure interactions. International Journal For Numerical Methods in Fluids, 84(4), 199-220. https://dx.doi.org/10.1002/fld.4345

MLA:
Yang, Yifan, et al. "An ALE approach to mechano-chemical processes in fluid-structure interactions." International Journal For Numerical Methods in Fluids 84.4 (2017): 199-220.

BibTeX: 

Zuletzt aktualisiert 2019-06-06 um 06:23