Research Article
Nov 1977
Accurate Calculation of Transport in Two Dimensions
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 103, Issue 11
Abstract
Numerical calculations of pure advection based on interpolating polynomials evaluated using both the dependent variable and its derivatives are shown to be highly accurate. In one dimension, explicit methods of fourth or higher order are possible using information at only two computational points; a formal error analysis of the fourth-order method is corroborated through demonstrative calculations. Comparisons with other methods demonstrate that the two-point fourth-order method is significantly more accurate than methods of fourth or higher order which use interpolations based on four or five computational points. Extension of the principle to advection-diffusion calculations in two dimensions demonstrates excellent accuracy. The two-point higher order principle is shown to have direct applicability to the calculation of two-dimensional advection and diffusion in tidal environments at a time scale of several tidal cycles.
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Published In
Journal of the Hydraulics Division
Volume 103 • Issue 11 • November 1977
Pages: 1259 - 1277
Copyright
© 1977 American Society of Civil Engineers.
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Published in print: Nov 1977
Published online: Feb 3, 2021
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Forrest M. Holly Jr., M.ASCE
Sogreah, Grenoble, France
Alexandre Preissmann
Sogreah, Grenoble, France
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.