A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis

Banks, J. W.; Henshaw, W. D.; Schwendeman, D. W.; Tang, Qi

doi:10.1016/j.jcp.2017.01.015

Title: A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis

Journal Article · 20 January 2017 · Journal of Computational Physics

DOI: https://doi.org/10.1016/j.jcp.2017.01.015 · OSTI ID:1353365

Banks, J. W. ^[1]; Henshaw, W. D. ^[1]; Schwendeman, D. W. ^[1]; Tang, Qi ^[1]

Rensselaer Polytechnic Inst., Troy, NY (United States)

A stable partitioned algorithm is developed for fluid-structure interaction (FSI) problems involving viscous incompressible flow and rigid bodies. This added-mass partitioned (AMP) algorithm remains stable, without sub-iterations, for light and even zero mass rigid bodies when added-mass and viscous added-damping 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. Added-damping effects due to the viscous shear forces on the body are treated by inclusion of added-damping tensors that are derived through a linearization of the integrals defining the force and torque. Added-damping 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 two-part series, the general formulation of the AMP scheme is presented including the form of the AMP interface conditions and added-damping tensors for general geometries. A fully second-order accurate implementation of the AMP scheme is developed in two dimensions based on a fractional-step method for the incompressible Navier-Stokes 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.

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Research Organization:: Rensselaer Polytechnic Inst., Troy, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1353365

Alternate ID(s):: OSTI ID: 1439534

Journal Information:: Journal of Computational Physics, Vol. 343, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 17 works

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A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow Serino, D. A.; Banks, J. W.; Henshaw, W. D. Journal of Computational Physics, Vol. 399 https://doi.org/10.1016/j.jcp.2019.108923	journal	December 2019
A Stable Added-Mass Partitioned (AMP) Algorithm for Elastic Solids and Incompressible Flow: Model Problem Analysis Serino, Daniel A.; Banks, Jeffrey W.; Henshaw, William D. SIAM Journal on Scientific Computing, Vol. 41, Issue 4 https://doi.org/10.1137/18m1232358	journal	January 2019
A split-step finite-element method for incompressible Navier-Stokes equations with high-order accuracy up-to the boundary Li, Longfei Journal of Computational Physics, Vol. 408 https://doi.org/10.1016/j.jcp.2020.109274	journal	May 2020
A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part II: General formulation Banks, J. W.; Henshaw, W. D.; Schwendeman, D. W. Journal of Computational Physics, Vol. 343 https://doi.org/10.1016/j.jcp.2017.04.064	journal	August 2017

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Title: A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model problem analysis

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