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@ARTICLE{Otte:865357,
      author       = {Otte, Philipp and Frank, Martin},
      title        = {{A} structured approach to the construction of stable
                      linear {L}attice {B}oltzmann collision operator},
      journal      = {Computers and mathematics with applications},
      volume       = {79},
      number       = {5},
      issn         = {0898-1221},
      address      = {Oxford [u.a.]},
      publisher    = {Pergamon Press},
      reportid     = {FZJ-2019-04852},
      pages        = {1447-1460},
      year         = {2020},
      abstract     = {We introduce a structured approach to the construction of
                      linear BGK-type collision operators ensuring that the
                      resulting Lattice-Boltzmann methods are stable with respect
                      to a weighted L2-norm. The results hold for particular
                      boundary conditions including periodic, bounce-back, and
                      bounce-back with flipping of sign boundary conditions. This
                      construction uses the equivalent moment-space definition of
                      BGK-type collision operators and the notion of stability
                      structures as guiding principle for the choice of the
                      equilibrium moments for those moments influencing the error
                      term only but not the order of consistency. The presented
                      structured approach is then applied to the 3D isothermal
                      linearized Euler equations with non-vanishing background
                      velocity. Finally, convergence results in the strong
                      discrete L∞-norm highlight the suitability of the
                      structured approach introduced in this manuscript.},
      cin          = {JSC},
      ddc          = {510},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {899 - ohne Topic (POF3-899)},
      pid          = {G:(DE-HGF)POF3-899},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000517668200012},
      doi          = {10.1016/j.camwa.2019.09.009},
      url          = {https://juser.fz-juelich.de/record/865357},
}