Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644964 | Applied Numerical Mathematics | 2015 | 11 Pages |
Abstract
We propose a method for generating finite-difference approximations of transparent boundary conditions (TBCs) with the fourth and sixth order in space. It is based on the wave equation solution continuation extra two or three layers of grid points outside the computational domain to use them in central-difference operators on approaching the boundary. We present the theoretical background of the method, give estimates of computational resources, and discuss accuracy and stability results of numerical tests in 1D and 2D cases.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
I.L. Sofronov, L. Dovgilovich, N. Krasnov,