A scalable nonlinear fluid-structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D

JOURNAL OF COMPUTATIONAL PHYSICS

卷:340

Article

Kong, Fande¹  Cai, Xiao-Chuan² 

[1] Idaho Natl Lab, Modeling & Simulat, POB 1625, Idaho Falls, ID 83415 USA

[2] Univ Colorado, Dept Comp Sci, Boulder, CO 80309 USA

关键词: Nonlinear fluid-structure interaction;    Unstructured mesh;    Newton-Krylov-Schwarz;    Isogeometric coarse mesh;    Parallel scalability;   

DOI  :  10.1016/j.jcp.2017.03.043

来源: Elsevier

【 摘 要 】

Nonlinear fluid-structure interaction (FSI) problems on unstructured meshes in 3D appear inmany applications in science and engineering, such as vibration analysis of aircrafts and patient-specific diagnosis of cardiovascular diseases. In this work, we develop a highly scalable, parallel algorithmic and software framework for FSI problems consisting of a nonlinear fluid system and a nonlinear solid system, that are coupled monolithically. The FSI system is discretized by a stabilized finite element method in space and a fully implicit backward difference scheme in time. To solve the large, sparse system of nonlinear algebraic equations at each time step, we propose an inexact Newton-Krylov method together with a multilevel,smoothed Schwarz preconditioner with isogeometric coarse meshes generated by a geometry preserving coarsening algorithm. Here geometry includes the boundary of the computational domain and the wet interface between the fluid and the solid. We show numerically that the proposed algorithm and implementation are highly scalable in terms of the number of linear and nonlinear iterations and the total compute time on a supercomputer with more than 10,000 processor cores for several problems with hundreds of millions of unknowns. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free