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Lattice Boltzmann Analysis of Fluid-Structure Interaction with Moving Boundaries

Published online by Cambridge University Press:  03 June 2015

Alessandro De Rosis ,
Giacomo Falcucci ,
Stefano Ubertini ,
Francesco Ubertini  and
Sauro Succi
Alessandro De Rosis*
Affiliation:
Department of Civil, Environmental and Materials Engineering, University of Bologna, Bologna 40136, Italy
Giacomo Falcucci*
Affiliation:
Department of Technologies, University of Naples “Parthenope”, Naples, Italy
Stefano Ubertini*
Affiliation:
DEIM - Industrial Engineering School, University of Tuscia, Largo dell’Università s.n.c., 01100, Viterbo, Italy
Francesco Ubertini*
Affiliation:
Department of Civil, Environmental and Materials Engineering, University of Bologna, Bologna 40136, Italy
Sauro Succi*
Affiliation:
Istituto per le Applicazioni del Calcolo - CNR, Via dei Taurini, 00100 Roma, Italy
*
Corresponding author.Email:[email protected]
Email:[email protected]
Email:[email protected]
Email:[email protected]
Email:[email protected]
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Abstract

This work is concerned with the modelling of the interaction of fluid flow with flexibly supported rigid bodies. The fluid flow is modelled by Lattice-Boltzmann Method, coupled to a set of ordinary differential equations describing the dynamics of the solid body in terms its elastic and damping properties. The time discretization of the body dynamics is performed via the Time Discontinuous Galerkin Method. Several numerical examples are presented and highlight the robustness and efficiency of the proposed methodology, by means of comparisons with previously published results. The examples show that the present fluid-structure method is able to capture vortex- induced oscillations of flexibly-supported rigid body.

Keywords

6247Lattice-Boltzmann methodfluid-structure interaction
Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 3 , March 2013 , pp. 823 - 834
Copyright
Copyright © Global Science Press Limited 2013

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References

[1]Rockwell, E. NaudascherPractical Experiences with Flow-Induced Vibrations. Springer, 1980.Google Scholar
[2]Morand, H. and Ohayon, R.Fluid Structure Interaction. John Wiley and Sons, New York, 1995.Google Scholar
[3]Blom, FJ.A monolothical fluid-structure interaction algorithm applied to the piston problem. Comp. Meth. Appl. Mech. Engr., 167:369–391,1998.Google Scholar
[4]Hübne, B., Walhorn, E., and Dinkler, DA monolithic approach to fluid-structure interaction using space-time finite elements. Comp. Meth. Appl. Mech. Engr., 193:2087–2104,2004.Google Scholar
[5]Guruswamy, G.P.A review of numerical fluids/structures interface methods for computations using high-fidelity equations. Comp. Struct., 80(1):31–41,2002.CrossRefGoogle Scholar
[6]Wood, C., Gil, A.J., Hassan, O., and Bonet, J.Partitioned block-Gauss-Seidel coupling for dynamic fluid-structure interaction. Comp. Struct., 88(23-24):1367–1382,2010. Special Issue: Association of Computational Mechanics, United Kingdom.Google Scholar
[7]Benzi, R., Succi, S., and Vergassola, M.The lattice Boltzmann equation: Theory and applica-tions. Phys. Rep., 222:145–197,1992.Google Scholar
[8]Succi, S.The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. Clarendon, Oxford, 2001.Google Scholar
[9]Chibbaro, S., Falcucci, G., Chiatti, G., Chen, H., Shan, X., and Succi, S.Lattice Boltzmann models for nonideal fluids with arrested phase-separation. Phys. Rev. E, 77, 036705, 2008.Google Scholar
[10]Falcucci, G., Ubertini, S., and Succi, S.Lattice Boltzmann simulations of phase-separating flows at large density ratios: the case of doubly-attractive pseudo-potentials. Soft Matter, 6:4357–4365,2010.Google Scholar
[11]Falcucci, G, Ubertini, S., Biscarini, C., Di Francesco, S., Chiappini, D., Palpacelli, S., Maio, A. De, and Succi, S.Lattice Boltzmann methods for multiphase flow simulations across scales. Comm. Comput. Phys., 9:269–296,2011.Google Scholar
[12]Falcucci, G., Bella, G., Ubertini, S., Palpacelli, S., and Maio, A. DeLattice Boltzmann modeling of Diesel spray formation and break-up. SAE Int. J. Fuels Lubr., 3:582–593,2010.Google Scholar
[13]Qi, D. and Aidun, C.K.A new method for analysis of the fluid interaction with a deformable membrane. J. Stat. Phys., 90:145,1998.Google Scholar
[14]Shi, X. and Phan-Thien, N.Distributed lagrange multiplier/fictitious domain method in the framework of lattice Boltzmann method for fluid-structure interactions. J. Comp. Phys., 206:81–94,2005.Google Scholar
[15]Falcucci, G., Aureli, M., Ubertini, S., and Porfiri, M.Transverse harmonic oscillations of laminae in viscous fluids: A lattice Boltzmann study. Phil. Trans. Royal Soc. A, 369(1945):2456–2466,2011.CrossRefGoogle Scholar
[16]Feng, Z.G. and Michaelides, E.E.The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems. J. Comp. Phys., 195:602–628,2004.CrossRefGoogle Scholar
[17]Cheng, Y. and Zhang, H.Immersed boundary method and lattice Boltzmann method coupled FSI simulation of mitral leaflet flow. Computers & Fluids, 39:871–881,2010.CrossRefGoogle Scholar
[18]Hao, J. and Zhu, L.A lattice Boltzmann based implicit immersed boundary method for fluid-structure interaction. Comp. Math. App., 59:185–193,2010.Google Scholar
[19]Suzuki, K. and Inamuro, T.Effect of internal mass in the simulation of a moving body by the immersed boundary method. Computers & Fluids, 49:173–187,2011.Google Scholar
[20]Hao, J. and Zhu, L.A lattice boltzmann based implicit immersed boundary method for fluid-structure interaction. Comp. Math. Appl., 59(1):185–193,2010.Google Scholar
[21]Ladd, A.J.C.Numerical simulation of particulate suspensions via a discretized Boltzmann equation, part 1. Theoretical foundation. J. Fluid Mech., 271:285,1994.Google Scholar
[22]Ladd, A.J.C.Numerical simulation of particular suspensions via discretized Boltzmann equation, part 2. Numerical results. J. Fluid Mech., 271:311–339,1994.Google Scholar
[23]Kollmannsberger, S., Geller, S., Duster, A., Tolke, J., Sorger, C., Krafczyk, M., and Rank, E.Fixed-grid fluid-structure interaction in two dimensions based on a partitioned Lattice Boltzmann and p-fem approach. Int. J. Numer. Meth. Engr., 79(7):817–845,2009.Google Scholar
[24]Peskin, C. S.Flow patterns around heart valves: A numerical method. J. Comp. Phys., 10(2):252–271,1972.Google Scholar
[25]Mei, R., Luo, L.-S., and Shyy, W.An accurate curved boundary treatment in the lattice Boltz-mann method. J. Comp. Phys., 155:307–330,1999.Google Scholar
[26]Lallemand, P. and Luo, L.-S.Lattice Boltzmann method for moving boundaries. J. Comp. Phys., 184:406–421,2003.Google Scholar
[27]Caiazzo, A.Analysis of lattice Boltzmann nodes initialisation in moving boundary problems. Progress Comp. Fluid Dyn., 8:3–10, 2008.Google Scholar
[28]Mancuso, M. and Ubertini, F.An efficient integration procedure for linear dynamics based on a time discontinuous Galerkin formulation. Comp. Mech., 32:154–168,2003.Google Scholar
[29]Mancuso, M. and Ubertini, F.An efficient time discontinuous Galerkin procedure for non-linear structural dynamics. Comp. Meth. Appl. Mech. Engr., 195(44-47):6391–6406,2006.Google Scholar
[30]Mancuso, M. and Ubertini, F.The Norsett time integration methodology for finite element transient analysis. Comp. Meth. Appl. Mech. Engr., 191:3297–3327,2002.Google Scholar
[31]Govoni, L., Mancuso, M., and Ubertini, F.Hierarchical higher-order dissipative methods for transient analysis. Int. J. Numer. Meth. Engr., 67:1730–1767,2006.Google Scholar
[32]Filippova, O. and Hanel, D.Lattice Boltzmann simulation of gas-particle flow in filters. Computers & Fluids, 26:697–712,1997.Google Scholar
[33]Roshko, A.On the development of turbulent wakes from vortex streets. National Advisory Committee for Aeronautics, NACA, page 2913, 1953.Google Scholar
[34]Dettmer, W. and Peric, D.A computational framework for fluid-rigid body interaction: Finite element formulation and applications. Comp. Meth. Appl. Mech. Engr., 195(13-16):1633–1666, 2006.Google Scholar
[35]Anagnostopoulos, P. and Bearman, P. W.Response characteristics of a vortex excited cylinder at low Reynolds numbers. J. Fluids Struct., 6:39–50,1992.Google Scholar