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math.NA2022★ 21 cited
Truncation errors and modified equations for the lattice Boltzmann method via the corresponding Finite Difference schemes
Thomas Bellotti
Lattice Boltzmann schemes are efficient numerical methods to solve a broad range of problems under the form of conservation laws. However, they suffer from a chronic lack of clear…
math.NA2022★ 44 cited
Finite Difference formulation of any lattice Boltzmann scheme
Thomas Bellotti, Benjamin Graille, Marc Massot
Lattice Boltzmann schemes rely on the enlargement of the size of the target problem in order to solve PDEs in a highly parallelizable and efficient kinetic-like fashion, split into…