Solvers for large-displacement fluid-structure interaction problems: segregated versus monolithic approaches
Solvers for large-displacement fluid-structure interaction problems: segregated versus monolithic approaches
复制标题
DOI：
10.1007/s00466-008-0270-6
复制
发表时间：
2008-12-01
影响因子：
4.1
通讯作者：
Boyle, Jonathan
中科院分区：
文献类型：
--
作者：
Heil, Matthias;Hazel, Andrew L.;Boyle, Jonathan
我们在面向对象的多物理场有限元库OOMPH-LIB框架内比较了大位移流固耦合（FSI）问题的单片求解器和分离（分区）求解器的相对性能，该库作为开源软件可在http://www.oomph-lib.org上获得。整体求解器被广泛认为比分离求解器更健壮，但被认为在大规模问题中过于昂贵。我们证明了单片解算器即使对于流固耦合较弱的问题也是有竞争力的，因此，分离解算器在适度的迭代次数内收敛。大规模流固耦合问题的有效整体解需要开发用于用牛顿法求解整体流固耦合方程过程中出现的线性系统迭代解的预调节器。我们证明了最近对omph - lib的FSI预调节器的改进可以在均匀和非均匀（自适应）网格细化下实现与网格无关的收敛速率，并在涉及有限雷诺数流与壳和梁结构以及有限厚度固体的相互作用的许多二维和三维测试问题中探索其性能。
We compare the relative performance of monolithic and segregated (partitioned) solvers for large- displacement fluid-structure interaction (FSI) problems within the framework of OOMPH-LIB, the object-oriented multi-physics finite-element library, available as open-source software at http://www.oomph-lib.org. Monolithic solvers are widely acknowledged to be more robust than their segregated counterparts, but are believed to be too expensive for use in large-scale problems. We demonstrate that monolithic solvers are competitive even for problems in which the fluid-solid coupling is weak and, hence, the segregated solvers converge within a moderate number of iterations. The efficient monolithic solution of large-scale FSI problems requires the development of preconditioners for the iterative solution of the linear systems that arise during the solution of the monolithically coupled fluid and solid equations by Newton's method. We demonstrate that recent improvements to OOMPH-LIB's FSI preconditioner result in mesh-independent convergence rates under uniform and non-uniform (adaptive) mesh refinement, and explore its performance in a number of two- and three-dimensional test problems involving the interaction of finite-Reynolds-number flows with shell and beam structures, as well as finite-thickness solids.