FaCSI swMATH ID: 18530 Software Authors: Simone Deparis, Davide Forti, Gwenol Grandperrin, Alfio Quarteroni Description: 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). Homepage: http://www.sciencedirect.com/science/article/pii/S0021999116304983 Related Software: Trilinos; MUMPS; ParMETIS; FROSch; IFPACK; Gmsh; LifeV; BoomerAMG; FEniCS; IRMHD; ALEGRA; VAC; MueLu; CUPyDO; OpenFPCI; MCT; ADVENTURE_Coupler; preCICE; TERMOFLUIDS; HDF Cited in: 20 Publications all top 5 Cited by 54 Authors 6 Quarteroni, Alfio M. 4 Deparis, Simone 4 Forti, Davide 4 Heinlein, Alexander 4 Klawonn, Axel 3 Rheinbach, Oliver 3 Vergara, Christian 1 Aulisa, Eugenio 1 Barnafi, Nicolás A. 1 Bnà, Simone 1 Bonet, Javier 1 Bornia, Giorgio 1 Bukač, Martina 1 Čanić, Sunčica 1 Carini, Marco 1 Cyr, Eric C. 1 Dede’, Luca 1 dos Santos, R. Weber 1 Failer, Lukas 1 Garcia-Blanco, Emilio 1 Gerbi, Antonello 1 Gervasio, Paola 1 Gil, Antonio J. 1 Gómez-Vargas, Bryan 1 Gonzalez, Ignacio 1 Grandperrin, Gwenol 1 Hochmuth, Christian 1 Hu, Jonathan J. 1 Lobosco, Marcelo 1 Lourenço, W. J. 1 Manzoni, Andrea 1 Marquet, Olivier 1 Marsden, Alison L. 1 Naseri, Alireza 1 Ohm, Peter 1 Ortigosa, Rogelio 1 Pérez-Segarra, Carlos David 1 Pfister, Jean-Lou 1 Pozzi, Silvia 1 Quaini, Annalisa 1 Redaelli, Alberto 1 Reis, Ruy Freitas 1 Rocha, Bernardo Martins 1 Ruiz-Baier, Ricardo 1 Schiavazzi, Daniele E. 1 Schulte, Miriam 1 Seo, Jongmin 1 Shadid, John N. 1 Totounferoush, Amin 1 Tuminaro, Raymond S. 1 Veneziani, Alessandro 1 Votta, Emiliano 1 Wiesner, Tobias A. 1 Zunino, Paolo all top 5 Cited in 9 Serials 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Scientific Computing 2 Computers and Fluids 2 Computational Mechanics 2 SIAM Journal on Scientific Computing 1 Journal of Computational Physics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Mathematical Fluid Mechanics 1 Acta Numerica all top 5 Cited in 6 Fields 15 Mechanics of deformable solids (74-XX) 11 Numerical analysis (65-XX) 10 Fluid mechanics (76-XX) 9 Biology and other natural sciences (92-XX) 2 Partial differential equations (35-XX) 1 Computer science (68-XX) Citations by Year