The Numerical Solution of the Navier- Stokes Equations for an Incompressible, Inviscid Fluid with a Free Surface
Date
2014-01-15
Authors
Contributor
Advisor
Department
Instructor
Depositor
Speaker
Researcher
Consultant
Interviewer
Narrator
Transcriber
Annotator
Journal Title
Journal ISSN
Volume Title
Publisher
University of Hawaii at Manoa
Volume
Number/Issue
Starting Page
Ending Page
Alternative Title
Abstract
This paper discusses a method of describing the time-dependent motion of an incompressible, inviscid (ideal) fluid in two dimensions. The fluid in this project has rigid boundaries on all sides except for a free surface over which there is assumed to be a uniform pressure. The effects of gravity and this free surface condition will be studied. To describe fluid's motion the Navier Stokes equations, in two forms – Lagrangian and Eulerian – will be utilizaed. Basically the method involves coupling the Eulerian and Lagrangian systems of equations. The Lagrangian equations follow the location of the free surface and all elements of the fluid, and also determines fluid particle velocities. Composed of a fixed coordinate system, the Eulerian system is used to compute the pressure at various points in the fluid. With the advent of the Computer Age, the non-linear terms of the Navier Stokes equations, which classical theory neglected, can be retained and solved by numerical methods. This project employs the IBM 360, a high speed computer with a large memory core, to solve the Navier Stokes equations by the finite difference method. Although much work on the numerical solution of these equations for different fluid conditions has been done in the last few years, there has been no previous solution for this particular problem.
Description
Keywords
Citation
Extent
53 pages
Format
Geographic Location
Time Period
Related To
Related To (URI)
Table of Contents
Rights
All UHM Honors Projects are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
Rights Holder
Local Contexts
Collections
Email libraryada-l@lists.hawaii.edu if you need this content in ADA-compliant format.