FaCSI
FaCSI: A block parallel preconditioner for fluid–structure interaction in hemodynamics. Modeling Fluid–Structure Interaction (FSI) in the vascular system is mandatory to reliably compute mechanical indicators in vessels undergoing large deformations. In order to cope with the computational complexity of the coupled 3D FSI problem after discretizations in space and time, a parallel solution is often mandatory. In this paper we propose a new block parallel preconditioner for the coupled linearized FSI system obtained after space and time discretization. We name it FaCSI to indicate that it exploits the Factorized form of the linearized FSI matrix, the use of static Condensation to formally eliminate the interface degrees of freedom of the fluid equations, and the use of a SIMPLE preconditioner for saddle-point problems. FaCSI is built upon a block Gauss–Seidel factorization of the FSI Jacobian matrix and it uses ad-hoc preconditioners for each physical component of the coupled problem, namely the fluid, the structure and the geometry. In the fluid subproblem, after operating static condensation of the interface fluid variables, we use a SIMPLE preconditioner on the reduced fluid matrix. Moreover, to efficiently deal with a large number of processes, FaCSI exploits efficient single field preconditioners, e.g., based on domain decomposition or the multigrid method. We measure the parallel performances of FaCSI on a benchmark cylindrical geometry and on a problem of physiological interest, namely the blood flow through a patient-specific femoropopliteal bypass. We analyze the dependence of the number of linear solver iterations on the cores count (scalability of the preconditioner) and on the mesh size (optimality).
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References in zbMATH (referenced in 17 articles )
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Sorted by year (- Dede’, L.; Gerbi, A.; Quarteroni, A.: Segregated algorithms for the numerical simulation of cardiac electromechanics in the left human ventricle (2020)
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- Seo, Jongmin; Schiavazzi, Daniele E.; Marsden, Alison L.: Performance of preconditioned iterative linear solvers for cardiovascular simulations in rigid and deformable vessels (2019)
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- Deparis, Simone; Forti, Davide; Gervasio, Paola; Quarteroni, Alfio: INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces (2016)
- Deparis, Simone; Forti, Davide; Grandperrin, Gwenol; Quarteroni, Alfio: Facsi: a block parallel preconditioner for fluid-structure interaction in hemodynamics (2016)
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- Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver: A parallel implementation of a two-level overlapping Schwarz method with energy-minimizing coarse space based on trilinos (2016)
- Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver: Parallel two-level overlapping Schwarz methods in fluid-structure interaction (2016)
- Quarteroni, A.; Veneziani, A.; Vergara, C.: Geometric multiscale modeling of the cardiovascular system, between theory and practice (2016)