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Numerical stability of entropic versus positivity-enforcing lattice Boltzmann schemes. (English) Zbl 1116.76068
Summary: A preliminary study of the nonlinear 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.

76M28 Particle methods and lattice-gas methods
Full Text: DOI
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