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Lattice Boltzmann modeling

In the past three decades, the Lattice Boltzmann (LB) method has emerged as a conceptually different approach of CFD. The first computationally viable realization dates back to the late 80s. The LB scheme governs fluid motions at a mesoscopic level that is intermediate between the microscopic and the macroscopic. Capturing the kinetic behavior of collections of fluid particles distributed on a lattice is here preferred to solving non-linear PDEs. This seems crazy, however, most details at the mesoscopic level play actually no role at the macroscopic level. Therefore, much simpler kinetic equations may be designed retaining only the basic features that pertain at the macroscopic level. This is, in short, the rationale behind the LB approach.

Selected contributions :

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Wall-modeled Large-eddy simulation of the flow past a rod-airfoil tandem in the subcritical turbulent regime by the lattice Boltzmann method.
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Lattice Boltzmann simulation of a turbulent (temporal) thermal jet at Re=3200 and Sc=0.75 (air)

MHD equations may be discretized by two coupled Lattice Boltzmann schemes. One lattice involves particles carrying amount of mass, whereas the other deals with particles carrying amount of magnetic field.

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Lattice Boltzmann simulation of Orszag-Tang vortex problem at Re=12500 in two dimensions. Left : current, right : magnetic field.
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