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Numerical stability of Entropic versus positivity-enforcing Lattice Boltzmann schemes

Author

Listed:
  • Tosi, F.
  • Ubertini, S.
  • Succi, S.
  • Chen, H.
  • Karlin, I.V.

Abstract

A preliminary study of the non-linear stability properties of entropic schemes versus positivity-enforcing (FIX-UP) schemes is presented for the case of two-dimensional cavity flow. It is shown that, although they operate on fairly distinct schedules, both methods achieve substantial stability enhancements over the standard single-time relaxation Lattice Boltzmann scheme.

Suggested Citation

  • Tosi, F. & Ubertini, S. & Succi, S. & Chen, H. & Karlin, I.V., 2006. "Numerical stability of Entropic versus positivity-enforcing Lattice Boltzmann schemes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 72(2), pages 227-231.
    • Handle: RePEc:eee:matcom:v:72:y:2006:i:2:p:227-231
    DOI: 10.1016/j.matcom.2006.05.007
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    Cited by:

    1. Brownlee, R.A. & Gorban, A.N. & Levesley, J., 2008. "Nonequilibrium entropy limiters in lattice Boltzmann methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 385-406.
    2. Gorban, A.N. & Packwood, D.J., 2014. "Enhancement of the stability of lattice Boltzmann methods by dissipation control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 285-299.
    3. Oleg Ilyin, 2022. "Low Dissipative Entropic Lattice Boltzmann Method," Mathematics, MDPI, vol. 10(21), pages 1-22, October.

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