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 · Fri Jan 20 00:00:00 EST 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)

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: 14 works

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References (36)

An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body Takashi, Nomura; Hughes, Thomas J. R. Computer Methods in Applied Mechanics and Engineering, Vol. 95, Issue 1 https://doi.org/10.1016/0045-7825(92)90085-X	journal	February 1992
Direct Numerical Simulations of Fluid–Solid Systems Using the Arbitrary Lagrangian–Eulerian Technique Hu, Howard H.; Patankar, N. A.; Zhu, M. Y. Journal of Computational Physics, Vol. 169, Issue 2 https://doi.org/10.1006/jcph.2000.6592	journal	May 2001
Analysis and Stabilization of Fluid-Structure Interaction Algorithm for Rigid-Body Motion Vierendeels, Jan; Dumont, Kris; Dick, Erik AIAA Journal, Vol. 43, Issue 12 https://doi.org/10.2514/1.3660	journal	December 2005
A vortex level set method for the two-way coupling of an incompressible fluid with colliding rigid bodies Coquerelle, M.; Cottet, G. -H. Journal of Computational Physics, Vol. 227, Issue 21 https://doi.org/10.1016/j.jcp.2008.03.041	journal	November 2008
Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions Gibou, Frédéric; Min, Chohong Journal of Computational Physics, Vol. 231, Issue 8 https://doi.org/10.1016/j.jcp.2012.01.009	journal	April 2012
A distributed Lagrange multiplier/fictitious domain method for particulate flows Glowinski, R.; Pan, T. -W.; Hesla, T. I. International Journal of Multiphase Flow, Vol. 25, Issue 5 https://doi.org/10.1016/S0301-9322(98)00048-2	journal	August 1999
A distributed Lagrange multiplier/fictitious domain method for the simulation of flow around moving rigid bodies: application to particulate flow Glowinski, Roland; Pan, Tsorng-Whay; Hesla, Todd I. Computer Methods in Applied Mechanics and Engineering, Vol. 184, Issue 2-4 https://doi.org/10.1016/S0045-7825(99)00230-3	journal	April 2000
A Fictitious Domain Approach to the Direct Numerical Simulation of Incompressible Viscous Flow past Moving Rigid Bodies: Application to Particulate Flow Glowinski, R.; Pan, T. W.; Hesla, T. I. Journal of Computational Physics, Vol. 169, Issue 2 https://doi.org/10.1006/jcph.2000.6542	journal	May 2001
An embedded strategy for the analysis of fluid structure interaction problems Costarelli, Santiago D.; Garelli, Luciano; Cruchaga, Marcela A. Computer Methods in Applied Mechanics and Engineering, Vol. 300 https://doi.org/10.1016/j.cma.2015.11.001	journal	March 2016
Interaction between particle clusters and particle-induced turbulence Kajishima, Takeo; Takiguchi, Saotshi International Journal of Heat and Fluid Flow, Vol. 23, Issue 5 https://doi.org/10.1016/S0142-727X(02)00159-5	journal	October 2002
An immersed boundary method with direct forcing for the simulation of particulate flows Uhlmann, Markus Journal of Computational Physics, Vol. 209, Issue 2 https://doi.org/10.1016/j.jcp.2005.03.017	journal	November 2005
Immersed boundary method for flow around an arbitrarily moving body Kim, Dokyun; Choi, Haecheon Journal of Computational Physics, Vol. 212, Issue 2 https://doi.org/10.1016/j.jcp.2005.07.010	journal	March 2006
Immersed finite element method for rigid body motions in the incompressible Navier–Stokes flow Lee, Tae-Rin; Chang, Yoon-Suk; Choi, Jae-Boong Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 25-28 https://doi.org/10.1016/j.cma.2007.12.013	journal	April 2008
Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies Borazjani, Iman; Ge, Liang; Sotiropoulos, Fotis Journal of Computational Physics, Vol. 227, Issue 16 https://doi.org/10.1016/j.jcp.2008.04.028	journal	August 2008
A second-order accurate immersed boundary method for fully resolved simulations of particle-laden flows Breugem, Wim-Paul Journal of Computational Physics, Vol. 231, Issue 13 https://doi.org/10.1016/j.jcp.2012.02.026	journal	May 2012
An improved immersed boundary method with direct forcing for the simulation of particle laden flows Kempe, Tobias; Fröhlich, Jochen Journal of Computational Physics, Vol. 231, Issue 9 https://doi.org/10.1016/j.jcp.2012.01.021	journal	May 2012
A simple and efficient direct forcing immersed boundary framework for fluid–structure interactions Yang, Jianming; Stern, Frederick Journal of Computational Physics, Vol. 231, Issue 15 https://doi.org/10.1016/j.jcp.2012.04.012	journal	June 2012
A unified mathematical framework and an adaptive numerical method for fluid–structure interaction with rigid, deforming, and elastic bodies Bhalla, Amneet Pal Singh; Bale, Rahul; Griffith, Boyce E. Journal of Computational Physics, Vol. 250 https://doi.org/10.1016/j.jcp.2013.04.033	journal	October 2013
A non-iterative direct forcing immersed boundary method for strongly-coupled fluid–solid interactions Yang, Jianming; Stern, Frederick Journal of Computational Physics, Vol. 295 https://doi.org/10.1016/j.jcp.2015.04.040	journal	August 2015
Strongly coupled dynamics of fluids and rigid-body systems with the immersed boundary projection method Wang, Chengjie; Eldredge, Jeff D. Journal of Computational Physics, Vol. 295 https://doi.org/10.1016/j.jcp.2015.04.005	journal	August 2015
A penalty immersed boundary method for a rigid body in fluid Kim, Yongsam; Peskin, Charles S. Physics of Fluids, Vol. 28, Issue 3 https://doi.org/10.1063/1.4944565	journal	March 2016
A stable fluid–structure-interaction solver for low-density rigid bodies using the immersed boundary projection method Lācis, Uǧis; Taira, Kunihiko; Bagheri, Shervin Journal of Computational Physics, Vol. 305 https://doi.org/10.1016/j.jcp.2015.10.041	journal	January 2016
Added mass and damping in fluid-structure interaction Conca, C.; Osses, A.; Planchard, J. Computer Methods in Applied Mechanics and Engineering, Vol. 146, Issue 3-4 https://doi.org/10.1016/S0045-7825(96)01246-7	journal	July 1997
A symmetric positive definite formulation for monolithic fluid structure interaction Robinson-Mosher, Avi; Schroeder, Craig; Fedkiw, Ronald Journal of Computational Physics, Vol. 230, Issue 4 https://doi.org/10.1016/j.jcp.2010.11.021	journal	February 2011
Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction Badia, Santiago; Quaini, Annalisa; Quarteroni, Alfio SIAM Journal on Scientific Computing, Vol. 30, Issue 4 https://doi.org/10.1137/070680497	journal	January 2008
A Fourth-Order Accurate Method for the Incompressible Navier-Stokes Equations on Overlapping Grids Henshaw, William D. Journal of Computational Physics, Vol. 113, Issue 1 https://doi.org/10.1006/jcph.1994.1114	journal	July 1994
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
Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow Henshaw, William D.; Schwendeman, Donald W. Journal of Computational Physics, Vol. 216, Issue 2 https://doi.org/10.1016/j.jcp.2006.01.005	journal	August 2006
A stable FSI algorithm for light rigid bodies in compressible flow Banks, J. W.; Henshaw, W. D.; Sjögreen, B. Journal of Computational Physics, Vol. 245 https://doi.org/10.1016/j.jcp.2013.02.050	journal	July 2013
Deforming composite grids for solving fluid structure problems Banks, Jeffrey W.; Henshaw, William D.; Schwendeman, Donald W. Journal of Computational Physics, Vol. 231, Issue 9 https://doi.org/10.1016/j.jcp.2011.12.034	journal	May 2012
An added-mass partition algorithm for fluid–structure interactions of compressible fluids and nonlinear solids Banks, J. W.; Henshaw, W. D.; Kapila, A. K. Journal of Computational Physics, Vol. 305 https://doi.org/10.1016/j.jcp.2015.10.043	journal	January 2016
An analysis of a new stable partitioned algorithm for FSI problems. Part I: Incompressible flow and elastic solids Banks, J. W.; Henshaw, W. D.; Schwendeman, D. W. Journal of Computational Physics, Vol. 269 https://doi.org/10.1016/j.jcp.2014.03.006	journal	July 2014
An analysis of a new stable partitioned algorithm for FSI problems. Part II: Incompressible flow and structural shells Banks, J. W.; Henshaw, W. D.; Schwendeman, D. W. Journal of Computational Physics, Vol. 268 https://doi.org/10.1016/j.jcp.2014.03.004	journal	July 2014
A stable partitioned FSI algorithm for incompressible flow and deforming beams Li, L.; Henshaw, W. D.; Banks, J. W. Journal of Computational Physics, Vol. 312 https://doi.org/10.1016/j.jcp.2016.02.002	journal	May 2016
Stability of Pressure Boundary Conditions for Stokes and Navier–Stokes Equations Petersson, N. Anders Journal of Computational Physics, Vol. 172, Issue 1 https://doi.org/10.1006/jcph.2001.6754	journal	September 2001
Stability theory of difference approximations for mixed initial boundary value problems. II Gustafsson, Bertil; Kreiss, Heinz-Otto; Sundstr{öm, Arne Mathematics of Computation, Vol. 26, Issue 119 https://doi.org/10.1090/S0025-5718-1972-0341888-3	journal	September 1972

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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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