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An implicit method for water wave problems

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dc.contributor.authorAston, Martha B., author
dc.contributor.authorThomas, J. W. (James William), 1941-, advisor
dc.contributor.authorZachmann, David W., committee member
dc.contributor.authorSchubert, Wayne H., committee member
dc.date.accessioned2007-01-03T06:27:56Z
dc.date.available2007-01-03T06:27:56Z
dc.date.issued1983
dc.description.abstractThis paper presents an implicit scheme for numerically simulating fluid flow in the presence of a free surface. The scheme couples numerical generation of a boundary-fitted coordinate system with an efficient solution of the finite difference equations. The method solves the two dimensional Navier-Stokes equations by applying an implicit backward in time difference scheme which is linearized by Taylor series expansion about the known time level to produce a system of linear difference equations. The difference equations are solved by an Alternating-Direction-Implicit procedure which defines a sequence of one dimensional block tridiagonal matrix equations. A standard block elimination scheme solves the one dimensional equations. For each time step, solutions for all equations are calculated simultaneously and noniteratively. Preliminary solutions of free surface fluid flow in an open channel are presented. These solutions are examined to define initial stability criteria for the numerical scheme.
dc.format.mediumdoctoral dissertations
dc.identifier1983_Spring_Aston_Martha.pdf
dc.identifierETDF1983400024MATH
dc.identifier.urihttp://hdl.handle.net/10217/81415
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relationCatalog record number (MMS ID): 991004639069703361
dc.relationQA911.A78 1983
dc.relation.ispartof1980-1999
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.subjectFluid dynamics -- Mathematical models
dc.subjectWaves -- Mathematical models
dc.subjectDifferential equations, Linear
dc.titleAn implicit method for water wave problems
dc.typeText
dcterms.rights.dplaThis Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
thesis.degree.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D.)

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