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A lattice Boltzmann based implicit immersed boundary method for fluid–structure interaction

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Title: A lattice Boltzmann based implicit immersed boundary method for fluid–structure interaction
Authors: Hao, Jian jhao@math.iupui.edu, Zhu, Luoding1 lzhu@math.iupui.edu
Source: Computers & Mathematics with Applications. Jan2010, Vol. 59 Issue 1, p185-193. 9p.
Subjects: Lattice Boltzmann methods, Implicit functions, Boundary element methods, Fluid-structure interaction, Viscous flow, Jacobian matrices, Mathematics
Abstract: Abstract: The immersed boundary method is a practical and effective method for fluid–structure interaction problems. It has been applied to a variety of problems. Most of the time-stepping schemes used in the method are explicit, which suffer a drawback in terms of stability and restriction on the time step. We propose a lattice Boltzmann based implicit immersed boundary method where the immersed boundary force is computed at the unknown configuration of the structure at each time step. The fully nonlinear algebraic system resulting from discretizations is solved by an Inexact Newton–Krylov method in a Jacobian-free manner. The test problem of a flexible filament in a flowing viscous fluid is considered. Numerical results show that the proposed implicit immersed boundary method is much more stable with larger time steps and significantly outperforms the explicit version in terms of computational cost. [Copyright &y& Elsevier]
Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Header DbId: egs
DbLabel: Engineering Source
An: 47150882
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PubTypeId: academicJournal
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  Data: A lattice Boltzmann based implicit immersed boundary method for fluid–structure interaction
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  Data: <searchLink fieldCode="AR" term="%22Hao%2C+Jian%22">Hao, Jian</searchLink><i> jhao@math.iupui.edu</i><br /><searchLink fieldCode="AR" term="%22Zhu%2C+Luoding%22">Zhu, Luoding</searchLink><relatesTo>1</relatesTo><i> lzhu@math.iupui.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Computers+%26+Mathematics+with+Applications%22">Computers & Mathematics with Applications</searchLink>. Jan2010, Vol. 59 Issue 1, p185-193. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Lattice+Boltzmann+methods%22">Lattice Boltzmann methods</searchLink><br /><searchLink fieldCode="DE" term="%22Implicit+functions%22">Implicit functions</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+element+methods%22">Boundary element methods</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid-structure+interaction%22">Fluid-structure interaction</searchLink><br /><searchLink fieldCode="DE" term="%22Viscous+flow%22">Viscous flow</searchLink><br /><searchLink fieldCode="DE" term="%22Jacobian+matrices%22">Jacobian matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink>
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  Label: Abstract
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  Data: Abstract: The immersed boundary method is a practical and effective method for fluid–structure interaction problems. It has been applied to a variety of problems. Most of the time-stepping schemes used in the method are explicit, which suffer a drawback in terms of stability and restriction on the time step. We propose a lattice Boltzmann based implicit immersed boundary method where the immersed boundary force is computed at the unknown configuration of the structure at each time step. The fully nonlinear algebraic system resulting from discretizations is solved by an Inexact Newton–Krylov method in a Jacobian-free manner. The test problem of a flexible filament in a flowing viscous fluid is considered. Numerical results show that the proposed implicit immersed boundary method is much more stable with larger time steps and significantly outperforms the explicit version in terms of computational cost. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.camwa.2009.06.055
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 185
    Subjects:
      – SubjectFull: Lattice Boltzmann methods
        Type: general
      – SubjectFull: Implicit functions
        Type: general
      – SubjectFull: Boundary element methods
        Type: general
      – SubjectFull: Fluid-structure interaction
        Type: general
      – SubjectFull: Viscous flow
        Type: general
      – SubjectFull: Jacobian matrices
        Type: general
      – SubjectFull: Mathematics
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      – TitleFull: A lattice Boltzmann based implicit immersed boundary method for fluid–structure interaction
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              Text: Jan2010
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              Y: 2010
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