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Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem

Published online by Cambridge University Press:  09 August 2018

Ying He  and
Jie Shen
Ying He*
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA.
Jie Shen*
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA.
*
Corresponding author. Email address: he14@math.purdue.edu
*Email:shen@math.purdue.edu
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Abstract

We consider in this paper numerical approximation of the linear Fluid-Structure Interaction (FSI). We construct a new class of pressure-correction schemes for the linear FSI problem with a fixed interface, and prove rigorously that they are unconditionally stable. These schemes are computationally very efficient, as they lead to, at each time step, a coupled linear elliptic system for the velocity and displacement in the whole region and a discrete Poisson equation in the fluid region.

Keywords

74F1076D0565M1235Q30Fluid-structure interactionpressure-correctionstability analysis
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 7 , Issue 4 , November 2014 , pp. 537 - 554
Copyright
Copyright © Global Science Press Limited 2014

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