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

Yang Y, Richter T, Jäger W, Neuss-Radu M (2017)

Publication Status: Published

Publication Type: Journal article

Publication year: 2017

Journal

International Journal For Numerical Methods in Fluids Wiley-Blackwell

Publisher: WILEY

Book Volume: 84

Pages Range: 199-220

Journal Issue: 4

DOI: 10.1002/fld.4345

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.

Authors with CRIS profile

Maria Neuß Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Otto-von-Guericke-Universität Magdeburg DE Germany (DE) Ruprecht-Karls-Universität Heidelberg DE Germany (DE)

How to cite

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: Download