A Chebyshev pseudospectral method is proposed for slow transients simulation of gas-transportation systems. The scheme is theoretically investigated. Comparisons with the Lax-Wendroff scheme prove that the Chebyshev method is more efficient in terms of storage and computer time. Infinite-order accuracy for smooth solutions is predicted by the theory and observed in the experiments.
CHEBYSHEV SPECTRAL METHOD FOR GAS TRANSIENTS IN PIPELINES
QUARTERONI, ALFIO MARIA
1985-01-01
Abstract
A Chebyshev pseudospectral method is proposed for slow transients simulation of gas-transportation systems. The scheme is theoretically investigated. Comparisons with the Lax-Wendroff scheme prove that the Chebyshev method is more efficient in terms of storage and computer time. Infinite-order accuracy for smooth solutions is predicted by the theory and observed in the experiments.File in questo prodotto:
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