The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations

Journal Article · Wed Jul 01 04:00:00 EDT 1992 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1016/0021-9991(92)90053-2· OSTI ID:7232742

Guo, Ben-Yu; Ma, He-Ping; Cao, Wei-Ming; Huang, Hui ^[1]

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1. Shanghai Univ. of Science and Technology (China)

We propose a mixed method for solving the two-dimensional unsteady vorticity equations by using the Fourier-spectral approximation in the periodic direction and Chebyshev-spectral approximation in the non-periodic direction. Some numerical results are given, which are compared with those of other methods. Stability of the scheme and the optimal rate of convergence are proved. 17 refs., 4 tabs.

• OSTI ID: 7232742
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 101:1; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
VORTEX FLOW