Finite-difference schemes on regular triangular grids

Journal Article · Fri Oct 01 00:00:00 EDT 1993 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1993.1184· OSTI ID:7071982

Zingg, D W ^[1]; Lomax, H ^[2]

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1. Univ. of Toronto, Ontario (Canada)
2. 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), Vol. 108:2; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
PARTIAL DIFFERENTIAL EQUATIONS
FINITE DIFFERENCE METHOD
NUMERICAL SOLUTION
MESH GENERATION
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
ITERATIVE METHODS
420400* - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers