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math.NA2024
Consistency and stability of boundary conditions for a two-velocities lattice Boltzmann scheme
Thomas Bellotti
We theoretically explore boundary conditions for lattice Boltzmann methods, focusing on a toy two-velocities scheme to tackle a linear one-dimensional advection equation. By mappin…
math.NA2024
Fourth-order entropy-stable lattice Boltzmann schemes for hyperbolic systems
Thomas Bellotti, Philippe Helluy, Laurent Navoret
We present a novel framework for the development of fourth-order lattice Boltzmann schemes to tackle multidimensional nonlinear systems of conservation laws. As for other numerical…