Details
| Original language | English |
|---|---|
| Pages (from-to) | 73-99 |
| Number of pages | 27 |
| Journal | Archive of Mechanical Engineering |
| Volume | 59 |
| Issue number | 1 |
| Publication status | Published - 1 Jan 2012 |
Abstract
We apply a fluid-structure interaction method to simulate prototypical dynamics of the aortic heart-valve. Our method of choice is based on a monolithic coupling scheme for fluid-structure interactions in which the fluid equations are rewritten in the 'arbitrary Lagrangian Eulerian' (ALE) framework. To prevent the backflow of structure waves because of their hyperbolic nature, a damped structure equation is solved on an artificial layer that is used to prolongate the computational domain. The increased computational cost in the presence of the artificial layer is resolved by using local mesh adaption. In particular, heuristic mesh refinement techniques are compared to rigorous goal-oriented mesh adaption with the dual weighted residual (DWR) method. A version of this method is developed for stationary settings. For the nonstationary test cases the indicators are obtained by a heuristic error estimator, which has a good performance for the measurement of wall stresses. The results for prototypical problems demonstrate that heart-valve dynamics can be treated with our proposed concepts and that the DWR method performs best with respect to a certain target functional.
Keywords
- arbitrary Lagrangian Eulerian method, elastic waves, finite element method, fluid-structure interaction, goal-oriented mesh adaption, heart-valve dynamics
ASJC Scopus subject areas
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Archive of Mechanical Engineering, Vol. 59, No. 1, 01.01.2012, p. 73-99.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Goal-oriented mesh adaptivity for fluid-structure interaction with application to heart-valve settings
AU - Wick, Thomas
N1 - Funding Information: The financial support by the DFG (Deutsche Forschungsgemeinschaft) and the HGS MathComp Heidelberg is gratefully acknowledged. Furthermore, the author thanks Dr. med. Jeremi Mizerski for fruitful discussions. Copyright: Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/1/1
Y1 - 2012/1/1
N2 - We apply a fluid-structure interaction method to simulate prototypical dynamics of the aortic heart-valve. Our method of choice is based on a monolithic coupling scheme for fluid-structure interactions in which the fluid equations are rewritten in the 'arbitrary Lagrangian Eulerian' (ALE) framework. To prevent the backflow of structure waves because of their hyperbolic nature, a damped structure equation is solved on an artificial layer that is used to prolongate the computational domain. The increased computational cost in the presence of the artificial layer is resolved by using local mesh adaption. In particular, heuristic mesh refinement techniques are compared to rigorous goal-oriented mesh adaption with the dual weighted residual (DWR) method. A version of this method is developed for stationary settings. For the nonstationary test cases the indicators are obtained by a heuristic error estimator, which has a good performance for the measurement of wall stresses. The results for prototypical problems demonstrate that heart-valve dynamics can be treated with our proposed concepts and that the DWR method performs best with respect to a certain target functional.
AB - We apply a fluid-structure interaction method to simulate prototypical dynamics of the aortic heart-valve. Our method of choice is based on a monolithic coupling scheme for fluid-structure interactions in which the fluid equations are rewritten in the 'arbitrary Lagrangian Eulerian' (ALE) framework. To prevent the backflow of structure waves because of their hyperbolic nature, a damped structure equation is solved on an artificial layer that is used to prolongate the computational domain. The increased computational cost in the presence of the artificial layer is resolved by using local mesh adaption. In particular, heuristic mesh refinement techniques are compared to rigorous goal-oriented mesh adaption with the dual weighted residual (DWR) method. A version of this method is developed for stationary settings. For the nonstationary test cases the indicators are obtained by a heuristic error estimator, which has a good performance for the measurement of wall stresses. The results for prototypical problems demonstrate that heart-valve dynamics can be treated with our proposed concepts and that the DWR method performs best with respect to a certain target functional.
KW - arbitrary Lagrangian Eulerian method
KW - elastic waves
KW - finite element method
KW - fluid-structure interaction
KW - goal-oriented mesh adaption
KW - heart-valve dynamics
UR - http://www.scopus.com/inward/record.url?scp=84861366971&partnerID=8YFLogxK
U2 - 10.2478/v10180-012-0005-2
DO - 10.2478/v10180-012-0005-2
M3 - Article
AN - SCOPUS:84861366971
VL - 59
SP - 73
EP - 99
JO - Archive of Mechanical Engineering
JF - Archive of Mechanical Engineering
SN - 0004-0738
IS - 1
ER -