A local entropic lattice Boltzmann scheme recovers the full-tensor anisotropic advection-diffusion equation via flux-ghost population splitting, tensorial relaxation, and an ADE-corrected entropic stabilizer, with validations on 3D benchmarks up to 10^4 anisotropy ratios.
1936 Mouvement Brownien d'un ellipsoide
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Derives a cell problem for asymptotic Taylor-Aris dispersion of rods in polygonal ducts that replaces uniform area weighting with a non-uniform invariant density and separates alignment effects on sampling versus transverse mixing.
Tensorial Taylor-Aris theory for dilute Brownian rods in circular Poiseuille flow shows shear-induced alignment raises the effective Taylor dispersion coefficient by up to 30% in the slender limit.
citing papers explorer
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Entropic lattice Boltzmann method for general anisotropic advection--diffusion
A local entropic lattice Boltzmann scheme recovers the full-tensor anisotropic advection-diffusion equation via flux-ghost population splitting, tensorial relaxation, and an ADE-corrected entropic stabilizer, with validations on 3D benchmarks up to 10^4 anisotropy ratios.
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Transient and asymptotic Taylor--Aris dispersion of Brownian rods in arbitrary regular-polygonal ducts
Derives a cell problem for asymptotic Taylor-Aris dispersion of rods in polygonal ducts that replaces uniform area weighting with a non-uniform invariant density and separates alignment effects on sampling versus transverse mixing.
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Shear alignment and tensorial Taylor--Aris dispersion of Brownian rods in a circular tube
Tensorial Taylor-Aris theory for dilute Brownian rods in circular Poiseuille flow shows shear-induced alignment raises the effective Taylor dispersion coefficient by up to 30% in the slender limit.