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We remark that, lie on the boundary of the lattice.
and, are functions of such that lie on the boundary of the lattice (3.28).
and is arbitrarily given on the boundary of the lattice (2.6).
where is determined recursively by (3.6 ., and is arbitrarily chosen on the boundary of the lattice (3.7).
In fact, from the fact of being on the boundary of the lattice, we see that (3.9).
Similar(54)
We define a high cell-border energy to prevent cells from adhering to the boundaries of the lattice.
In this paper we analyze the boundary treatment of the lattice Boltzmann method (LBM) for simulating 3D flows with free surfaces.
In consideration of movable boundaries of the lattice-boom structures, the additional external nodal forces and their derivatives on the structural and mechanical displacements are given for the residual force equations.
The density of states shows several peaks associated with both the presence of quasi-bound states (due to the circular confinement and the defect) and localized edge states due to circular boundaries of the finite lattice.
Comparing these results, we conclude that there are more quasi-bound states in the structure with the defect, states associated with both the presence of quasi-bound states related to the atoms belonging to the defect and others due to the circular confinement and edge states due to circular boundaries of the finite lattice and the defect.
The density of states and transmission functions for small energies show several peaks associated with the presence of quasi-bound states generated by the defect and localized edge states produced by both the circular boundaries of the finite lattice and induced by the presence of the pentagonal defect.
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