Campus Units

Mechanical Engineering

Document Type

Article

Publication Version

Accepted Manuscript

Publication Date

2-1-2017

Journal or Book Title

Computer Methods in Applied Mechanics and Engineering

Volume

314

First Page

408

Last Page

472

DOI

10.1016/j.cma.2016.07.028

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.

Comments

This is a manuscript of an article published as Kamensky, David, Ming-Chen Hsu, Yue Yu, John A. Evans, Michael S. Sacks, and Thomas JR Hughes. "Immersogeometric cardiovascular fluid–structure interaction analysis with divergence-conforming B-splines." Computer Methods in Applied Mechanics and Engineering 314 (2017): 408-472. doi: 10.1016/j.cma.2016.07.028. Posted with permission.

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Copyright Owner

Elsevier B.V.

Language

en

File Format

application/pdf

Published Version

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