Multiscale and monolithic arbitrary Lagrangian–Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms

• Two types of multiscale and monolithic ALE-FEM are developed for the hemodynamic FSI problem that involves aneurysm progression. The heterogeneous method (HMM) seamless (SMM) integrated into ALE-FEM. can predict long-term risk within a short time cardiovascular biological simulations. is numerically validated by 2D example in terms its approximation accuracy. HMM/ALE-FEM applied to AAA patient's CT scan imaging data shows prediction matches well with patients' historical data. In this paper, arbitrary Lagrangian–Eulerian finite element (ALE-FEM) fluid-structure interaction (FSI) involving an aortic growth quantitatively environment, where blood fluid profile, hyperelastic arterial wall, pathophysiology one model, together no-slip interface conditions between wall. Additionally, two different scales involved: fast scale fluid-arterial wall process seconds, slow (abdominal aneurysms (AAA) progression) years. methods, (SMM), employed tackle while (ALE) adopted generate moving meshes adapt deformation all time, based on which variable time-stepping/mixed (FEM) defined ALE frame discretize model aneurysms. A two-dimensional schematic fluid-artery-aneurysm three-dimensional realistic upon simulated validate accuracy efficiency our HMM(SMM)/ALE-FEM, medically reasonable obtained as well.