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dc.contributor.authorHuang, Sen-Wei
dc.date.accessioned2018-08-08T01:46:44Z
dc.date.available2018-08-08T01:46:44Z
dc.date.issued1989
dc.identifier.urihttp://hdl.handle.net/11122/9325
dc.descriptionThesis (Ph.D.) University of Alaska Fairbanks, 1989
dc.description.abstractNumerical solutions of the hyperbolic partial differential equation, $\partial p\over\partial t$ + $\vec\nabla \cdot (p\vec u)$ = 0, will generally encounter the difficulties of large diffusion and oscillations near steep gradients or discontinuities. The method of Flux-Corrected Transport (FCT) developed by Boris and Book has conquered these difficulties for the one-dimensional case. Motivated by this one-dimensional FCT algorithm, a fully two-dimensional FCT algorithm is developed in this present work. This fully two-dimensional FCT algorithm is a two-step procedure: (1) the transport scheme, and (2) the antidiffusion scheme. The second step of the procedure could also be replaced by an application of the one-dimensional antidiffusion algorithm in the x direction and the y direction separately. The stability, phase shift errors and positivity for the fully two-dimensional transport scheme are analyzed. Test results are presented. The possibility of the extension of the FCT method to three dimensions are discussed.
dc.subjectMathematics
dc.titleA fully two-dimensional flux-corrected transport algorithm for hyperbolic partial differential equations
dc.typeThesis
dc.type.degreephd
dc.contributor.chairGislason, Gary
refterms.dateFOA2020-03-05T17:27:09Z


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