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Pierre Lallemand
Researcher at Centre national de la recherche scientifique
Publications - 79
Citations - 13744
Pierre Lallemand is an academic researcher from Centre national de la recherche scientifique. The author has contributed to research in topics: Lattice Boltzmann methods & Boltzmann equation. The author has an hindex of 32, co-authored 77 publications receiving 12389 citations. Previous affiliations of Pierre Lallemand include École Normale Supérieure & University of Paris-Sud.
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Lattice BGK Models for Navier-Stokes Equation
TL;DR: In this article, the Navier-Stokes equation is obtained from the kinetic BGK equation at the second-order approximation with a properly chosen equilibrium distribution, with a relaxation parameter that influences the stability of the new scheme.
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Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability
Pierre Lallemand,Li-Shi Luo +1 more
TL;DR: The generalized hydrodynamics (the wave vector dependence of the transport coefficients) of a generalized lattice Boltzmann equation (LBE) is studied in detail and linear analysis of the LBE evolution operator is equivalent to Chapman-Enskog analysis in the long-wavelength limit (wave vector k=0).
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Multiple-relaxation-time lattice Boltzmann models in three dimensions.
TL;DR: Simulation of a diagonally lid–driven cavity flow in three dimensions clearly demonstrate the superior numerical stability of the multiple–relaxation–time lattice Boltzmann equation over the popular lattice Bhatnagar–Gross–Krook equation.
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Momentum transfer of a Boltzmann-lattice fluid with boundaries
TL;DR: In this article, the velocity boundary condition for curved boundaries in the lattice Boltzmann equation (LBE) was studied for moving boundaries by combination of the "bounce-back" scheme and spatial interpolations of first or second order.
Journal Article
Lattice gas hydrodynamics in two and three dimensions
TL;DR: It is shown for a class of D-dimensional lattice gas models how the macrodynamical equations for the densities of microscopically conserved quantities can be systematically derived from the underlying exact ''microdynamical'' Boolean equations.