2025/07/21 - New paper on consistency of lattice Boltzmann methods published in ESAIM: M2AN

Sun, 14 Dec 2025 14:04:24 +0100
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Stephan Simonis and Mathias J. Krause have published a new paper entitled "Limit consistency of lattice Boltzmann equations" in the ESAIM: M2AN journal. The work establishes the notion of limit consistency as a modular part in proving the consistency of lattice Boltzmann equations with respect to a given partial differential equation system. Here, the incompressible Navier-Stokes equations are used as a paragon. Based on the hydrodynamic limit of the Bhatnagar-Gross-Krook (BGK) Boltzmann equation towards the Navier-Stokes equations, a successive discretization is proposed by nesting Taylor expansions and finite differences. As a direct result, the discretization technique of lattice Boltzmann methods is unfolded as chaining finite differences which provides a generic top-down derivation leading to the final numerical scheme. The paper is available open access at https://www.esaim-m2an.org/articles/m2an/abs/2025/03/m2an240044/m2an240044.html