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math.NA2021
High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations
Thomas Bellotti, Loïc Gouarin, Benjamin Graille +1
Multiresolution provides a fundamental tool based on the wavelet theory to build adaptive numerical schemes for Partial Differential Equations and time-adaptive meshes, allowing fo…
math.NA2020
Unexpected convergence of lattice Boltzmann schemes
Bruce Boghosian, François Dubois, Benjamin Graille +2
In this work, we study numerically the convergence of the scalar D2Q9 lattice Boltzmann scheme with multiple relaxation times when the time step is proportional to the space step a…