most citedNumerical approximations of a lattice Boltzmann scheme with a family of partial differential equations

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math.NA2024

Theory of the lattice Boltzmann method: discrete effects due to advection

Pierre Lallemand, François Dubois, Li-shi Luo

Lattice Boltzmann models are briefly introduced together with references to methods used to predict their ability for simulations of systems described by partial differential equat…

math.NA2024★ 1 cited

Numerical approximations of a lattice Boltzmann scheme with a family of partial differential equations

Bruce M Boghosian, François Dubois, Pierre Lallemand

In this contribution, we address the numerical solutions of high-order asymptotic equivalent partial differential equations with the results of a lattice Boltzmann scheme for an in…