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

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

Year:    2014

Numerical Mathematics: Theory, Methods and Applications, Vol. 7 (2014), Iss. 4 : pp. 537–554

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2014.1307si

Numerical Mathematics: Theory, Methods and Applications, Vol. 7 (2014), Iss. 4 : pp. 537–554

Published online:    2014-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Fluid-structure interaction pressure-correction stability analysis.

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