Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines.
Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines.
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DOI：
10.1016/j.cma.2016.07.028
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发表时间：
2017-02-01
影响因子：
7.2
通讯作者：
Hughes TJ
中科院分区：
文献类型：
--
作者：
Kamensky D;Hsu MC;Yu Y;Evans JA;Sacks MS;Hughes TJ
本文使用了一个发散一致的B样条流体离散化，以解决长期存在的问题，质量守恒较差的沉浸式方法计算流体-结构相互作用（FSI），代表的影响，作为一个强制项的结构中的流体子问题。我们专注于，特别是在我们早期的工作中开发的immersogeometric方法，分析其收敛性的线性模型问题，然后将其应用到心脏瓣膜的FSI分析，使用发散一致的B-样条离散流体子问题。较差的质量守恒可以表现为流体通过薄的固体屏障的有效泄漏。这种泄漏破坏了FSI系统（如心脏瓣膜）的定性行为，这些系统专门用于阻塞流动。发散一致离散化可以精确地执行质量守恒，避免这个问题。为了证明实际效用的immersogeometric FSI分析与发散一致的B样条，我们使用本文所述的方法来构建和评估的计算模型的体外实验，泵水通过人工瓣膜。
This paper uses a divergence-conforming B-spline fluid discretization to address the long-standing issue of poor mass conservation in immersed methods for computational fluid–structure interaction (FSI) that represent the influence of the structure as a forcing term in the fluid subproblem. We focus, in particular, on the immersogeometric method developed in our earlier work, analyze its convergence for linear model problems, then apply it to FSI analysis of heart valves, using divergence-conforming B-splines to discretize the fluid subproblem. Poor mass conservation can manifest as effective leakage of fluid through thin solid barriers. This leakage disrupts the qualitative behavior of FSI systems such as heart valves, which exist specifically to block flow. Divergence-conforming discretizations can enforce mass conservation exactly, avoiding this problem. To demonstrate the practical utility of immersogeometric FSI analysis with divergence-conforming B-splines, we use the methods described in this paper to construct and evaluate a computational model of an in vitro experiment that pumps water through an artificial valve.