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An unfitted mesh semi‐implicit coupling scheme for fluid‐structure interaction with immersed solids
International Journal for Numerical Methods in Engineering ( IF 2.9 ) Pub Date : 2020-08-09 , DOI: 10.1002/nme.6449 Miguel A. Fernández 1, 2 , Fannie M. Gerosa 1, 2
International Journal for Numerical Methods in Engineering ( IF 2.9 ) Pub Date : 2020-08-09 , DOI: 10.1002/nme.6449 Miguel A. Fernández 1, 2 , Fannie M. Gerosa 1, 2
Affiliation
Unfitted mesh finite element approximations of immersed incompressible fluid-structure interaction problems which efficiently avoid strong coupling without compromising stability and accuracy are rare in the literature. Moreover, most of the existing approaches introduce additional unknowns or are limited by penalty terms which yield ill conditioning issues. In this paper, we introduce a new unfitted mesh semi-implicit coupling scheme which avoids these issues. To this purpose, we provide a consistent generalization of the projection based semi-implicit coupling paradigm of [Int. J. Num. Meth. Engrg.,69(4):794-821, 2007] to the unfitted mesh Nitsche-XFEM framework.
中文翻译:
用于与浸入固体的流固耦合的未拟合网格半隐式耦合方案
浸入式不可压缩流固耦合问题的未拟合网格有限元近似有效避免强耦合而不影响稳定性和准确性在文献中很少见。此外,大多数现有方法都引入了额外的未知数,或者受到会产生病态问题的惩罚项的限制。在本文中,我们介绍了一种新的未拟合网格半隐式耦合方案,可以避免这些问题。为此,我们提供了基于投影的半隐式耦合范式的一致概括 [Int. J. 编号 冰毒。Engrg.,69(4):794-821, 2007] 到未拟合的网格 Nitsche-XFEM 框架。
更新日期:2020-08-09
中文翻译:
用于与浸入固体的流固耦合的未拟合网格半隐式耦合方案
浸入式不可压缩流固耦合问题的未拟合网格有限元近似有效避免强耦合而不影响稳定性和准确性在文献中很少见。此外,大多数现有方法都引入了额外的未知数,或者受到会产生病态问题的惩罚项的限制。在本文中,我们介绍了一种新的未拟合网格半隐式耦合方案,可以避免这些问题。为此,我们提供了基于投影的半隐式耦合范式的一致概括 [Int. J. 编号 冰毒。Engrg.,69(4):794-821, 2007] 到未拟合的网格 Nitsche-XFEM 框架。