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Immersogeometric cardiovascular fluid–structure interaction analysis with divergence-conforming B-splines
- Source :
- Computer Methods in Applied Mechanics and Engineering. 314:408-472
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- 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.
- Subjects :
- Mathematical optimization
Engineering
Discretization
business.industry
Mechanical Engineering
Computational Mechanics
Linear model
General Physics and Astronomy
010103 numerical & computational mathematics
Isogeometric analysis
Immersed boundary method
01 natural sciences
Article
Computer Science Applications
010101 applied mathematics
Flow (mathematics)
Mechanics of Materials
Convergence (routing)
Fluid–structure interaction
0101 mathematics
business
Conservation of mass
Subjects
Details
- ISSN :
- 00457825
- Volume :
- 314
- Database :
- OpenAIRE
- Journal :
- Computer Methods in Applied Mechanics and Engineering
- Accession number :
- edsair.doi.dedup.....b35441c6f0575b68c8289e50d811b424