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- Abbas Fakhari, Taehun Lee
- Physical review. E, Statistical, nonlinear, and…
- 2013

The lattice Boltzmann method for immiscible multiphase flows with large density ratio is extended to high Reynolds number flows using a multiple-relaxation-time (MRT) collision operator, and its stability and accuracy are assessed by simulating the Kelvin-Helmholtz instability. The MRT model is successful at damping high-frequency oscillations in the… (More)

- Abbas Fakhari, Taehun Lee
- Physical review. E, Statistical, nonlinear, and…
- 2014

An adaptive-mesh-refinement (AMR) algorithm for the finite-difference lattice Boltzmann method (FDLBM) is presented in this study. The idea behind the proposed AMR is to remove the need for a tree-type data structure. Instead, pointer attributes are used to determine the neighbors of a certain block via appropriate adjustment of its children… (More)

- Abbas Fakhari, Martin Geier, Taehun Lee
- J. Comput. Physics
- 2016

- Abbas Fakhari, Diogo Bolster, Li-Shi Luo
- J. Comput. Physics
- 2017

In this brief note, it is shown that the random hyperbolicity of a random linear cocycle is equivalent to having the Lipschitz shadowing property.

- Abbas FAKHARI, Keonhee LEE Khosro TAJBAKHSH
- 2010

We give a characterization of structurally stable diffeomorphisms by making use of the notion of Lp-shadowing property. More precisely, we prove that the set of structurally stable diffeomorphisms coincides with the C-interior of the set of diffeomorphisms having Lp-shadowing property.

In this brief note, it is shown that the random hyperbolicity of a random linear cocycle is equivalent to having the Lipschitz shadowing property.

- Martin Geier, Abbas Fakhari, Taehun Lee
- Physical review. E, Statistical, nonlinear, and…
- 2015

Based on the phase-field theory, we propose a conservative lattice Boltzmann method to track the interface between two different fluids. The presented model recovers the conservative phase-field equation and conserves mass locally and globally. Two entirely different approaches are used to calculate the gradient of the phase field, which is needed in… (More)

- Abbas Fakhari, Diogo Bolster
- J. Comput. Physics
- 2017

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