Wavenumber-extended high-order upwind-biased finite-difference schemes for convective scalar transport
- CSIRO Division of Building, Construction and Engineering, Victoria (Australia)
This paper proposes some new wavenumber-extended high-order upwind-biased schemes. The dispersion and dissipation errors of upwind-biased finite-difference schemes are assessed and compared by means of a Fourier analysis of the difference schemes. Up to 11th-order upwind-biased schemes are analyzed. It is shown that both the upwind-biased scheme of order 2N - 1 and the corresponding centered differencing scheme of order 2N have the same dispersion characteristics; thus the former can be considered to be the latter plus a correction that reduces the numerical dissipation. The new second-order wavenumber-extended scheme is tested and compared with some well-known schemes. The range of wavenumbers that are accurately treated by the upwind-biased schemes is improved by using additional constraints from the Fourier analysis to construct the new schemes. The anisotropic behavior of the dispersion and dissipation errors is also analyzed for both the conventional and the new wavenumber-extended upwind-biased finite-difference schemes.
- OSTI ID:
- 535384
- Journal Information:
- Journal of Computational Physics, Vol. 133, Issue 2; Other Information: PBD: 15 May 1997
- Country of Publication:
- United States
- Language:
- English
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