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dc.contributor.authorYANG, JCen_US
dc.contributor.authorHSU, ELen_US
dc.date.accessioned2014-12-08T15:05:19Z-
dc.date.available2014-12-08T15:05:19Z-
dc.date.issued1991-02-05en_US
dc.identifier.issn0271-2091en_US
dc.identifier.urihttp://hdl.handle.net/11536/3864-
dc.description.abstractThe Holly-Preissmann two-point finite difference scheme (HP method) has been popularly used for solving the advection equation. The key idea of this scheme is to solve the dependent variable (i.e. the concentration for the pollutant transport problem) by the method of characteristics with the use of cubic interpolation on the spatial axis. The interpolating polynomials of higher order are constructed by use of the dependent variable and its derivatives at two adjacent grid points. In this paper a new interpolating technique is introduced for incorporation with the Holly-Preissmann two-point method. The new method is denoted herein as the Holly-Preissmann reach-back method (HPRB) and allows the characteristics to project back several time steps beyond the present time level. Through stability analyses it has been observed that the increase of the reach-back time step numbers for the characteristics indeed reduces the numerical damping and dispersive phenomena. A schematic model has been constructed to demonstrate the merits of this new technique for the calculation of the pure advection and dispersion equations. Numerical experiments and comparisons with analytical solutions which support and demonstrate this new technique are presented.en_US
dc.language.isoen_USen_US
dc.subjectADVECTIONen_US
dc.subjectDIFFUSIONen_US
dc.subjectNUMERICAL SIMULATIONen_US
dc.titleON THE USE OF THE REACH-BACK CHARACTERISTICS METHOD FOR CALCULATION OF DISPERSIONen_US
dc.typeArticleen_US
dc.identifier.journalINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDSen_US
dc.citation.volume12en_US
dc.citation.issue3en_US
dc.citation.spage225en_US
dc.citation.epage235en_US
dc.contributor.department交大名義發表zh_TW
dc.contributor.department土木工程學系zh_TW
dc.contributor.departmentNational Chiao Tung Universityen_US
dc.contributor.departmentDepartment of Civil Engineeringen_US
dc.identifier.wosnumberWOS:A1991EW88100002-
dc.citation.woscount14-
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