Domain-Decomposition-Based Fluid Structure Interaction Algorithms for Highly Nonlinear and Anisotropic Elastic Arterial Wall Models in 3D
Results of parallel simulations of atherosclerotic arterial walls
DFG (Deutsche Forschungsgemeinschaft) project SCHR 570/15-1 and 570/15-2, in cooperation with SNF (Swiss National Science Foundation) under the D-A-CH agreement
Associated people
J. Schröder, D. Balzani (TU Dresden), S. Fausten, in cooperation with A. Klawonn (Universität zu Köln), O. Rheinbach(TU Freiberg), A. Quarteroni, S. Deparis (EPF Lausanne)
Abstract
Transmural stress distributions of in vivo arteries are a major factor driving, e.g., the processes of arteriosclerosis and arteriogenesis. Realistic predictions for transmural stress distributions require a dynamic simulation considering the interaction of the blood flow with the vessel wall. One cannot expect to obtain precise predictions for vessel wall stresses using solid models that do not reflect the global layer structure and the anisotropic fibrous microstructure of the vessel wall. Furthermore, eigenstress distributions in the vessel wall must be taken into account for the analysis of more realistic stress regimes and can be observed to have significant influence on simulations. The fluid-structure-interaction (FSI) problem is known to be a nontrivial problem especially when nonlinear models are used for the structural part describing the deformation of the arterial wall. In this project, algorithms for the fluid-structure interaction are developed based on domain decomposition methods and applied to the computation of realistic transmural stresses in physiological models of arterial walls. The associated systems of coupled nonlinear partial differential equations are to be solved in 3D and on different parallel machines. Moreover, a biologically motivated model for the incorporation of residual stresses is constructed based on nonlocal stress measures.
References