Details
| Original language | English |
|---|---|
| Pages (from-to) | 874-891 |
| Number of pages | 18 |
| Journal | Journal of computational physics |
| Volume | 321 |
| Publication status | Published - 15 Sept 2016 |
| Externally published | Yes |
Abstract
In this work, we develop numerical schemes for mechano-chemical fluid-structure interactions with long-term effects. We investigate a model of a growing solid interacting with an incompressible fluid. A typical example for such a situation is the formation and growth of plaque in blood vessels. This application includes two particular difficulties: First, growth may lead to very large deformations, up to full clogging of the fluid domain. We derive a simplified set of equations including a fluid-structure interaction system coupled to an ODE model for plaque growth in Arbitrary Lagrangian Eulerian (ALE) coordinates and in Eulerian coordinates. The latter novel technique is capable of handling very large deformations up to contact. The second difficulty stems from the different time scales: while the dynamics of the fluid demand to resolve a scale of seconds, growth typically takes place in a range of months. We propose a temporal two-scale approach using local small-scale problems to compute an effective wall stress that will enter a long-scale problem. Our proposed techniques are substantiated with several numerical tests that include comparisons of the Eulerian and ALE approaches as well as convergence studies.
Keywords
- Arbitrary Lagrangian-Eulerian approach, Finite elements, Fluid-structure interaction, Fully Eulerian approach, Solid growth, Temporal multi-scales
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Mathematics(all)
- Modelling and Simulation
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal of computational physics, Vol. 321, 15.09.2016, p. 874-891.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates
AU - Frei, S.
AU - Richter, T.
AU - Wick, T.
N1 - Publisher Copyright: © 2016 Elsevier Inc. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2016/9/15
Y1 - 2016/9/15
N2 - In this work, we develop numerical schemes for mechano-chemical fluid-structure interactions with long-term effects. We investigate a model of a growing solid interacting with an incompressible fluid. A typical example for such a situation is the formation and growth of plaque in blood vessels. This application includes two particular difficulties: First, growth may lead to very large deformations, up to full clogging of the fluid domain. We derive a simplified set of equations including a fluid-structure interaction system coupled to an ODE model for plaque growth in Arbitrary Lagrangian Eulerian (ALE) coordinates and in Eulerian coordinates. The latter novel technique is capable of handling very large deformations up to contact. The second difficulty stems from the different time scales: while the dynamics of the fluid demand to resolve a scale of seconds, growth typically takes place in a range of months. We propose a temporal two-scale approach using local small-scale problems to compute an effective wall stress that will enter a long-scale problem. Our proposed techniques are substantiated with several numerical tests that include comparisons of the Eulerian and ALE approaches as well as convergence studies.
AB - In this work, we develop numerical schemes for mechano-chemical fluid-structure interactions with long-term effects. We investigate a model of a growing solid interacting with an incompressible fluid. A typical example for such a situation is the formation and growth of plaque in blood vessels. This application includes two particular difficulties: First, growth may lead to very large deformations, up to full clogging of the fluid domain. We derive a simplified set of equations including a fluid-structure interaction system coupled to an ODE model for plaque growth in Arbitrary Lagrangian Eulerian (ALE) coordinates and in Eulerian coordinates. The latter novel technique is capable of handling very large deformations up to contact. The second difficulty stems from the different time scales: while the dynamics of the fluid demand to resolve a scale of seconds, growth typically takes place in a range of months. We propose a temporal two-scale approach using local small-scale problems to compute an effective wall stress that will enter a long-scale problem. Our proposed techniques are substantiated with several numerical tests that include comparisons of the Eulerian and ALE approaches as well as convergence studies.
KW - Arbitrary Lagrangian-Eulerian approach
KW - Finite elements
KW - Fluid-structure interaction
KW - Fully Eulerian approach
KW - Solid growth
KW - Temporal multi-scales
UR - http://www.scopus.com/inward/record.url?scp=84974577417&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2016.06.015
DO - 10.1016/j.jcp.2016.06.015
M3 - Article
AN - SCOPUS:84974577417
VL - 321
SP - 874
EP - 891
JO - Journal of computational physics
JF - Journal of computational physics
SN - 0021-9991
ER -