24 citations · 32 across the 7 of their papers we have counts for
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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…
math.AP2024
Stability analysis of the vectorial lattice-Boltzmann method
Kévin Guillon, Romane Hélie, Philippe Helluy
We propose a new stability analysis of the Vectorial Lattice-Boltzmann Method (VLBM). The VLBM is a variant of the LBM with extended stability features: it allows to handle compres…