Volume 7, Issue 4
Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem

Ying He & Jie Shen

Numer. Math. Theor. Meth. Appl., 7 (2014), pp. 537-554.

Published online: 2014-07

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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

Fluid-structure interaction, pressure-correction, stability analysis.

  • AMS Subject Headings

74F10, 76D05, 65M12, 35Q30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-7-537, author = {}, title = {Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2014}, volume = {7}, number = {4}, pages = {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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2014.1307si}, url = {http://global-sci.org/intro/article_detail/nmtma/5889.html} }
TY - JOUR T1 - Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem JO - Numerical Mathematics: Theory, Methods and Applications VL - 4 SP - 537 EP - 554 PY - 2014 DA - 2014/07 SN - 7 DO - http://doi.org/10.4208/nmtma.2014.1307si UR - https://global-sci.org/intro/article_detail/nmtma/5889.html KW - Fluid-structure interaction, pressure-correction, stability analysis. AB -

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.

Ying He & Jie Shen. (2020). Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem. Numerical Mathematics: Theory, Methods and Applications. 7 (4). 537-554. doi:10.4208/nmtma.2014.1307si
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