A PARALLEL ALGORITHM FOR THE SOLUTION OF LARGE-SCALE NONCONFORMING FLUID-STRUCTURE INTERACTION PROBLEMS IN HEMODYNAMICS  

作　　者：Davide Forti Alfio Ouarteroni Simone DeDaris 

机构地区：[1]MATH-CMCS, Ecole Polytechnique Federale de Lausanne, Station 8, CH-1015 Lausanne, Switzerland

出　　处：《Journal of Computational Mathematics》2017年第3期363-380,共18页计算数学（英文）

摘　　要：In this work we address the numerical solution of large scale fluid-structure interaction problems when nonconforming grids and/or nonconforming finite elements discretizations are used at the interface separating the fluid and structure physical domains. To deal with nonconforming fluid-structure discretizations we use the INTERNODES method （INTER- polation for NOnconforming DEcompositionS） formerly introduced in [6] for the solution of elliptic PDEs on nonconforming domain decomposition. To cope with the high com- putational complexity of the three dimensional FSI problem obtained after spatial and temporal discretization, we use the block parallel preconditioner FaCSI [7]. A numerical investigation of the accuracy properties of INTERNODES applied to the nonconforming FSI problem is carried out for the simulation of the pressure wave propagation in a straight elastic cylinder. Finally, we study the scalability performance of the FaCSI precondition- er in the nonconforming case by solving a large-scale nonconforming FSI problem in a patient-specific arterial bypass.In this work we address the numerical solution of large scale fluid-structure interaction problems when nonconforming grids and/or nonconforming finite elements discretizations are used at the interface separating the fluid and structure physical domains. To deal with nonconforming fluid-structure discretizations we use the INTERNODES method （INTER- polation for NOnconforming DEcompositionS） formerly introduced in [6] for the solution of elliptic PDEs on nonconforming domain decomposition. To cope with the high com- putational complexity of the three dimensional FSI problem obtained after spatial and temporal discretization, we use the block parallel preconditioner FaCSI [7]. A numerical investigation of the accuracy properties of INTERNODES applied to the nonconforming FSI problem is carried out for the simulation of the pressure wave propagation in a straight elastic cylinder. Finally, we study the scalability performance of the FaCSI precondition- er in the nonconforming case by solving a large-scale nonconforming FSI problem in a patient-specific arterial bypass.

关 键 词：Fluid-Structure Interaction Domain decomposition Nonconforming discretizations INTERNODES Biomechanics Parallel preconditioners High performance comput-ing. 

分 类 号：O343.6[理学—固体力学] TP301.6[理学—力学]