The mathematical and computational aspects of the direct simulation Monte Carlo on unstructured tetrahedral grids (U3DSMC) with a Kinetic-Moment (KM) boundary conditions method are presented.
To accurately describe the solute/dislocation interaction energies in and around the dislocation core, density functional theory and a flexible-boundary-condition method are used.
If the displacement of the moving surface from the original position is typically small, a small-perturbation boundary condition method can be used.
The convergence behavior of the T-matrix method as calculated by the extended boundary condition method (EBCM) is studied, in the case of light scattering by spheroidal particles.
A fast and reliable boundary condition treatment method is implemented to workpiece without binder and addendum information.
The Immersed Boundary Conditions (IBC) method is used to enforce the physical boundary conditions at the corrugated walls.
The former takes SPL and the normal velocity on the structure's surface as boundary conditions; this method is applicable to sound radiation and scattering calculations for closed-surface structures.
Although our problem (1.3) merely involves Robin boundary conditions, our methods are different from those in [3, 6, 7], and our main results are optimal.
Different with classical Rayleigh-Ritz solutions, the admissible functions adopted here is a set of combination of simple polynomials and trigonometric functions, which just satisfy a totally unconstrained boundary condition, and penalty method is applied to handle constraints.
However, the side boundaries automatically obey periodic boundary conditions, so this method is useful only for describing areas far from the side boundaries.
Also, there are many works about reaction diffusion equations without nonlocal term; one can see [9 13] and the references therein, and the boundary value condition and research method are different from our work.
