Graduate Thesis Or Dissertation

 

A numerical study of viscous, incompressible fluid flow problems Public Deposited

Analytics

Downloadable Content

Download PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/9k41zj06t

Descriptions

Attribute NameValues
Creator
Abstract
  • The mathematical technique of overrelaxation is used here to speed the convergence of a numerical method for solving viscous, incompressible fluid flow problems. The method, called MAC, involves approximating the complete two-dimensional incompressible Navier-Stokes equations with analogous finite-difference equations. The MAC method was developed by the Los Alamos Scientific Laboratory of the University of California and is described in detail in "The MAC Method," by J. Eddie Welch, Francis H. Harlow, John P. Shannon, and Bart J. Daly (LA-3425). The most time-consuming part of this method involves iterating on a finite-difference form of Poisson's equation; hence overrelaxation is applied to this iteration process. Overrelaxation theory is presented and is applied to the above method to show that overrelaxation does speed convergence, Examples of fluid problem solutions are presented both with and without the use of overrelaxation, showing the amount of computer time saved. In addition, computer plots of several typical solutions are included to show the diversity of the above method.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Publisher
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces
Additional Information
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-03-26T17:35:15Z (GMT) No. of bitstreams: 1 TerryMichael1968.pdf: 1854167 bytes, checksum: 5b6cd08c04bc5c97ad653f9952cbfe55 (MD5)
  • description.provenance : Submitted by Georgeann Booth (gbscannerosu@gmail.com) on 2014-03-19T21:34:03Z No. of bitstreams: 1 TerryMichael1968.pdf: 1854167 bytes, checksum: 5b6cd08c04bc5c97ad653f9952cbfe55 (MD5)
  • description.provenance : Made available in DSpace on 2014-03-26T17:35:15Z (GMT). No. of bitstreams: 1 TerryMichael1968.pdf: 1854167 bytes, checksum: 5b6cd08c04bc5c97ad653f9952cbfe55 (MD5) Previous issue date: 1968-05-06
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-03-21T20:21:44Z (GMT) No. of bitstreams: 1 TerryMichael1968.pdf: 1854167 bytes, checksum: 5b6cd08c04bc5c97ad653f9952cbfe55 (MD5)

Relationships

Parents:

This work has no parents.

In Collection:

Items

Thumbnail Title Date Uploaded Visibility Actions
TerryMichael1968.pdf 2017-08-17 Public