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The effective properties are derived from the homogenization method with periodic boundary conditions within a representative element (base cell).
The simulations use the discrete element method with periodic boundary conditions on packing of 4000 spherical monosize particles.
It can be seen that the novel bending method with periodic boundary condition along axial direction can provide a more physical significance than the traditional method with fixed boundary condition.
Unit cells are studied using a finite element method with periodic boundary conditions in order to predict effective electrical/thermal conductivities and elastic moduli of these TPMS-based foams.
The energy dispersion relation of two dimensional hexagonal lattice of GaAs quantum wires embedded in AlwGa1−wAs matrix, called artificial graphene, was calculated by the finite difference method with periodic boundary conditions.
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All previously published packing methods with periodic boundaries were kinetics-determined; i.e., they contained a densification rate as an arbitrary parameter.
Figure 9 (a) Representation of the two-dimensional cuts shown in maps panels (b g) performed on the finite element method simulations with periodic contour conditions at the substrate box edges.
Defect bands and transmission spectra are calculated by using the finite element method with the periodic boundary condition and the Bloch Floquet theorem.
The computational cycle combines a type of deterministic particle method with a periodic interpolation of the solution along particle trajectories onto a fixed grid.
Final multi-periodic solutions have been obtained by extending the newly developed Toeplitz Jacobian matrix method with multi-periodic fast Fourier transforms.
Long-range electrostatic forces were handled by using the particle-mesh Ewald (PME) algorithm [50], which is an efficient full electrostatics method for use with periodic boundary conditions.
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