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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/669764
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