Finite-difference schemes on regular triangular grids
Journal Article
·
· Journal of Computational Physics; (United States)
- Univ. of Toronto, Ontario (Canada)
- NASA Ames Research Center, Moffett Field, CA (United States)
The phase error and isotropy properties of various finite-difference schemes on grids consisting of regular triangles are compared with similar schemes on square grids. The comparisons are based on a Fourier analysis of semidiscrete solutions to the two-dimensional linear convection equation. The finite-difference schemes presented on the triangular grid include a second-order method, a compact fourth-order method, and a modified compact method designed to extend the accurate wave number range of the numerical approximation. All of the schemes considered are centered and hence nondissipative. In each case, the finite-difference scheme on the triangular grid reduces the anisotropy of the phase error in comparison with a similar scheme on the square grid. 7 refs., 9 figs., 2 tabs.
- OSTI ID:
- 7071982
- Journal Information:
- Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 108:2; ISSN 0021-9991; ISSN JCTPAH
- Country of Publication:
- United States
- Language:
- English
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