Numerical simulation of fluid-structure interaction problems with hyperelastic models: A monolithic approach
Numerical simulation of fluid-structure interaction problems with hyperelastic models: A monolithic approach
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DOI：
10.1016/j.matcom.2016.07.008
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发表时间：
2014-08
期刊：
影响因子：
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通讯作者：
U. Langer;Huidong Yang
中科院分区：
文献类型：
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作者：
U. Langer;Huidong Yang
在本文中，我们考虑采用整体方法来一次性处理不同超弹性模型的耦合流固耦合问题。我们在外部迭代中应用牛顿法来处理耦合系统的非线性。我们讨论了求解线性代数方程的预处理 Krylov 子空间、代数多重网格和代数多级方法。最后，我们将整体方法的结果与我们之前研究的相应分区方法的结果进行比较。
In this paper, we consider a monolithic approach to handle coupled fluid–structure interaction problems with different hyperelastic models in an all-at-once manner. We apply Newton’s method in the outer iteration dealing with nonlinearities of the coupled system. We discuss preconditioned Krylov sub-space, algebraic multigrid and algebraic multilevel methods for solving the linearized algebraic equations. Finally, we compare the results of the monolithic approach with those of the corresponding partitioned approach that was studied in our previous work.