Campus Units

Mechanical Engineering

Document Type

Article

Publication Version

Submitted Manuscript

Publication Date

11-1-2017

Journal or Book Title

Computers & Mathematics with Applications

Volume

74

Issue

9

First Page

2068

Last Page

2088

DOI

10.1016/j.camwa.2017.07.006

Abstract

This paper discusses a method of stabilizing Lagrange multiplier fields used to couple thin immersed shell structures and surrounding fluids. The method retains essential conservation properties by stabilizing only the portion of the constraint orthogonal to a coarse multiplier space. This stabilization can easily be applied within iterative methods or semi-implicit time integrators that avoid directly solving a saddle point problem for the Lagrange multiplier field. Heart valve simulations demonstrate applicability of the proposed method to 3D unsteady simulations. An appendix sketches the relation between the proposed method and a high-order-accurate approach for simpler model problems.

Comments

This is a manuscript of an article published as Kamensky, David, John A. Evans, Ming-Chen Hsu, and Yuri Bazilevs. "Projection-based stabilization of interface Lagrange multipliers in immersogeometric fluid–thin structure interaction analysis, with application to heart valve modeling." Computers & Mathematics with Applications 74, no. 9 (2017): 2068-2088. DOI: 10.1016/j.camwa.2017.07.006. Posted with permission.

Copyright Owner

Elsevier Ltd.

Language

en

File Format

application/pdf

Published Version

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