Cartesian Coordinate, Oblique Boundary, Finite Differences and Interpolation

Details Cartesian Coordinate, Oblique Boundary, Finite Differences and Interpolation Cartesian Coordinate, Oblique Boundary, Finite Differences and Interpolation

2011-05-06

arxiv.org/abs/1105.1356v1

Physics

Computational Physics

15 pages, 7 figures

Scientific paper

A numerical scheme is described for accurately accommodating oblique, non-aligned, boundaries, on a three-dimensional cartesian grid. The scheme gives second-order accuracy in the solution for potential of Poisson's equation using compact difference stencils involving only nearest neighbors. Implementation for general "Robin" boundary conditions and for boundaries between media of different dielectric constant for arbitrary-shaped regions is described in detail. The scheme also provides for the interpolation of field (potential gradient) which, despite first-order peak errors immediately adjacent to the boundaries, has overall second order accuracy, and thus provides with good accuracy what is required in particle-in-cell codes: the force. Numerical tests on the implementation confirm the scalings and the accuracy.

Affiliated with

Also associated with

No associations

Rating

Cartesian Coordinate, Oblique Boundary, Finite Differences and Interpolation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cartesian Coordinate, Oblique Boundary, Finite Differences and Interpolation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cartesian Coordinate, Oblique Boundary, Finite Differences and Interpolation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-576955