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- W2063431925 abstract "This paper presents an error analysis of numerical algorithms for solving the convective continuity equation using flux-corrected transport (FCT) techniques. The nature of numerical errors in Eulerian finite-difference solutions to the continuity equation is analyzed. The properties and intrinsic errors of an “optimal” algorithm are discussed and a flux-corrected form of such an algorithm is demonstrated for a restricted class of problems. This optimal FCT algorithm is applied to a model test problem and the error is monitored for comparison with more generally applicable algorithms. Several improved FCT algorithms are developed and judged against both standard flux-uncorrected transport algorithms and the optimal algorithm. These improved FCT algorithms are found to be four to eight times more accurate than standard non-FCT algorithms, nearly twice as accurate as the original SHASTA FCT algorithm, and approach the accuracy of the optimal algorithm." @default.
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- W2063431925 date "1976-04-01" @default.
- W2063431925 modified "2023-10-18" @default.
- W2063431925 title "Flux-corrected transport. III. Minimal-error FCT algorithms" @default.
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- W2063431925 doi "https://doi.org/10.1016/0021-9991(76)90091-7" @default.
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