PMID: 22587209May 17, 2012Paper

Stabilized lattice Boltzmann-Enskog method for compressible flows and its application to one- and two-component fluids in nanochannels

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Simone Melchionna, Umberto Marini Bettolo Marconi

Abstract

A numerically stable method to solve the discretized Boltzmann-Enskog equation describing the behavior of nonideal fluids under inhomogeneous conditions is presented. The algorithm employed uses a Lagrangian finite-difference scheme for the treatment of the convective term and a forcing term to account for the molecular repulsion together with a Bhatnagar-Gross-Krook relaxation term. In order to eliminate the spurious currents induced by the numerical discretization procedure, we use a trapezoidal rule for the time integration together with a version of the two-distribution method of He et al. [J. Comput. Phys. 152, 642 (1999)]. Numerical tests show that, in the case of a one-component fluid in the presence of a spherical potential well, the proposed method reduces the numerical error by several orders of magnitude. We conduct another test by considering the flow of a two-component fluid in a channel with a bottleneck and provide information about the density and velocity field in this structured geometry.

References

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Feb 17, 2011·The Journal of Chemical Physics·Umberto Marini Bettolo Marconi, Simone Melchionna
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Aug 3, 2011·The Journal of Chemical Physics·Umberto Marini Bettolo Marconi, Simone Melchionna

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Citations

Aug 25, 2012·Langmuir : the ACS Journal of Surfaces and Colloids·Umberto Marini Bettolo Marconi, Simone Melchionna
Feb 14, 2015·The Journal of Physical Chemistry. C, Nanomaterials and Interfaces·Vaibhav Thakore, James J Hickman
Aug 11, 2017·Langmuir : the ACS Journal of Surfaces and Colloids·Adwait V DatarSimone Melchionna

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