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Improving the stability of multiple-relaxation lattice Boltzmann methods with central moments.

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Title: Improving the stability of multiple-relaxation lattice Boltzmann methods with central moments.
Authors: Chávez-Modena, M.1,2 m.chavez@upm.es, Ferrer, E.1,2, Rubio, G.1,2
Source: Computers & Fluids. Aug2018, Vol. 172, p397-409. 13p.
Subjects: Lattice Boltzmann methods, Von Neumann algebras, Viscosity, Wavenumber, Shear (Mechanics)
Abstract: In this work we seek lattice Boltzmann methods (LBM) with improved stability that retain accuracy. Using von Neumann stability analysis to extract dispersion and diffusion errors, we compare the D2Q9 lattice scheme with three collision operators: the single relaxation time (BGK), the multiple-relaxation time with raw moments (MRT–RM) and with central moments (MRT–CM). First, we observe that the MRT–CM shows favorable properties when compared to the other two schemes. This method provides low errors, enhanced stability and enables the modification of free parameters. Second, we optimize these free parameters to increase dissipation only for high under-resolved wavenumbers, leaving low wavenumbers (well resolved scales) unchanged. In particular, we show that the optimized MRT–CM can cope with lower viscosities, higher velocities and coarser meshes that their predecessors. Finally, the optimized MRT–CM is tested for a shear layers flow to illustrate the enhanced stability and accuracy of the proposed technique. [ABSTRACT FROM AUTHOR]
Copyright of Computers & Fluids 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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DbLabel: Engineering Source
An: 130911847
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  Data: <searchLink fieldCode="DE" term="%22Lattice+Boltzmann+methods%22">Lattice Boltzmann methods</searchLink><br /><searchLink fieldCode="DE" term="%22Von+Neumann+algebras%22">Von Neumann algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Viscosity%22">Viscosity</searchLink><br /><searchLink fieldCode="DE" term="%22Wavenumber%22">Wavenumber</searchLink><br /><searchLink fieldCode="DE" term="%22Shear+%28Mechanics%29%22">Shear (Mechanics)</searchLink>
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  Data: In this work we seek lattice Boltzmann methods (LBM) with improved stability that retain accuracy. Using von Neumann stability analysis to extract dispersion and diffusion errors, we compare the D2Q9 lattice scheme with three collision operators: the single relaxation time (BGK), the multiple-relaxation time with raw moments (MRT–RM) and with central moments (MRT–CM). First, we observe that the MRT–CM shows favorable properties when compared to the other two schemes. This method provides low errors, enhanced stability and enables the modification of free parameters. Second, we optimize these free parameters to increase dissipation only for high under-resolved wavenumbers, leaving low wavenumbers (well resolved scales) unchanged. In particular, we show that the optimized MRT–CM can cope with lower viscosities, higher velocities and coarser meshes that their predecessors. Finally, the optimized MRT–CM is tested for a shear layers flow to illustrate the enhanced stability and accuracy of the proposed technique. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Computers & Fluids 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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      – Type: doi
        Value: 10.1016/j.compfluid.2018.03.084
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 397
    Subjects:
      – SubjectFull: Lattice Boltzmann methods
        Type: general
      – SubjectFull: Von Neumann algebras
        Type: general
      – SubjectFull: Viscosity
        Type: general
      – SubjectFull: Wavenumber
        Type: general
      – SubjectFull: Shear (Mechanics)
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      – TitleFull: Improving the stability of multiple-relaxation lattice Boltzmann methods with central moments.
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              Text: Aug2018
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