The lattice Boltzmann method is used to carry out a direct numerical simulation of laminar and turbulent flows in a smooth and rough wall channel or pipe at critical and subcritical Reynolds number. The velocity field is solved using the Lattice Boltzmann Method (LBM) as an alternative numerical approach to computational Fluid dynamics. The method […]
An important consequence of Dirichlet’s theorem (1842) is that any irrational number can be approximated by infinitely many rationals with an error of approximation one over denominator square. Surprisingly, most of the metrical results to date improve this corollary instead of Dirichlet’s original theorem. Recently, metric theoretic results for the sets of real numbers admitting […]
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