Numerical methods for the construction of linear waves structures on discrete orthogonal grids
Abstract
We study the possibility for the implementation of linear wave structures on discrete grids with various dimensions. The systems of the first order differential equations for the set of virtual functions, describing the wave propagation, are derived for different spectral zones. We are particularly interested in the spectral regions which are localized near the lowest and the maximal frequencies, as well as in the vicinity of a central frequency. The cases of discrete orthogonal grids with dimensions from 1 to 4 are analyzed. The possibility of the propagation of waves in the considered situations is substantiated by numerical simulations.
Cite
@article{arxiv.1812.11871,
title = {Numerical methods for the construction of linear waves structures on discrete orthogonal grids},
author = {Sergey Dvornikov and Maxim Dvornikov},
journal= {arXiv preprint arXiv:1812.11871},
year = {2019}
}
Comments
16 pages in LaTeX, 17 pdf figures, 2 tables; matches the published version, which can be retrieved here http://jomardpublishing.com/UploadFiles/Files/journals/AMMAV1N1/V3N3/DvornikovS.pdf