A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis
Abstract
A stable partitioned algorithm is developed for fluidstructure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This addedmass partitioned (AMP) algorithm remains stable, without subiterations, for light and even zero mass rigid bodies when addedmass and viscous addeddamping effects are large. The scheme is based on a generalized Robin interface condition for the fluid pressure that includes terms involving the linear acceleration and angular acceleration of the rigid body. Added mass effects are handled in the Robin condition by inclusion of a boundary integral term that depends on the pressure. Addeddamping effects due to the viscous shear forces on the body are treated by inclusion of addeddamping tensors that are derived through a linearization of the integrals defining the force and torque. Addeddamping effects may be important at low Reynolds number, or, for example, in the case of a rotating cylinder or rotating sphere when the rotational moments of inertia are small. In this second part of a twopart series, the general formulation of the AMP scheme is presented including the form of the AMP interface conditions and addeddamping tensors for general geometries. A fully secondorder accurate implementation of the AMP scheme is developed in two dimensions basedmore »
 Authors:

 Rensselaer Polytechnic Inst., Troy, NY (United States)
 Publication Date:
 Research Org.:
 Rensselaer Polytechnic Inst., Troy, NY (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC21)
 OSTI Identifier:
 1353365
 Alternate Identifier(s):
 OSTI ID: 1439534
 Grant/Contract Number:
 AC5207NA27344
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of Computational Physics
 Additional Journal Information:
 Journal Volume: 343; Journal Issue: C; Journal ID: ISSN 00219991
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; fluidstructure interaction; moving overlapping; grids; incompressible NavierStokes; partitioned schemes; addedmass; addeddamping; rigid bodies
Citation Formats
Banks, J. W., Henshaw, W. D., Schwendeman, D. W., and Tang, Qi. A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis. United States: N. p., 2017.
Web. doi:10.1016/j.jcp.2017.01.015.
Banks, J. W., Henshaw, W. D., Schwendeman, D. W., & Tang, Qi. A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis. United States. https://doi.org/10.1016/j.jcp.2017.01.015
Banks, J. W., Henshaw, W. D., Schwendeman, D. W., and Tang, Qi. Fri .
"A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis". United States. https://doi.org/10.1016/j.jcp.2017.01.015. https://www.osti.gov/servlets/purl/1353365.
@article{osti_1353365,
title = {A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis},
author = {Banks, J. W. and Henshaw, W. D. and Schwendeman, D. W. and Tang, Qi},
abstractNote = {A stable partitioned algorithm is developed for fluidstructure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This addedmass partitioned (AMP) algorithm remains stable, without subiterations, for light and even zero mass rigid bodies when addedmass and viscous addeddamping effects are large. The scheme is based on a generalized Robin interface condition for the fluid pressure that includes terms involving the linear acceleration and angular acceleration of the rigid body. Added mass effects are handled in the Robin condition by inclusion of a boundary integral term that depends on the pressure. Addeddamping effects due to the viscous shear forces on the body are treated by inclusion of addeddamping tensors that are derived through a linearization of the integrals defining the force and torque. Addeddamping effects may be important at low Reynolds number, or, for example, in the case of a rotating cylinder or rotating sphere when the rotational moments of inertia are small. In this second part of a twopart series, the general formulation of the AMP scheme is presented including the form of the AMP interface conditions and addeddamping tensors for general geometries. A fully secondorder accurate implementation of the AMP scheme is developed in two dimensions based on a fractionalstep method for the incompressible NavierStokes equations using finite difference methods and overlapping grids to handle the moving geometry. Here, the numerical scheme is verified on a number of difficult benchmark problems.},
doi = {10.1016/j.jcp.2017.01.015},
url = {https://www.osti.gov/biblio/1353365},
journal = {Journal of Computational Physics},
issn = {00219991},
number = C,
volume = 343,
place = {United States},
year = {2017},
month = {1}
}
Web of Science