Abstract

This study is an evaluation of a method of improving the multigrid process by cor recting error spikes which are generated when moving from a coarser to finer level. The correction method was tested on nine one-dimensional problems governed by second order differential equations. Tests were performed with an accomodative, full approximation scheme, full multi-grid algorithm.

Results indicate that appropriate implementation of the correction can increase so lution accuracy. Accuracy was increased in 75% of cases in which a single correction was applied to a point in the central portion of the grid. Single corrections performed on points with error greater than the average error were effective 86% of the time. Further study is required to determine a method of identifying this scenario.

Library of Congress Subject Headings

Multigrid methods (Numerical analysis); Computational grids (Computer systems); Fluid dynamics--Computer systems; Differential equations, Partial--Numerical solutions

Publication Date

2005

Document Type

Thesis

Student Type

Graduate

Degree Name

Mechanical Engineering (MS)

Department, Program, or Center

Mechanical Engineering (KGCOE)

Advisor

Amitabha Ghosh

Advisor/Committee Member

Ali Ogut

Advisor/Committee Member

P. Venkataraman

Comments

Physical copy available from RIT's Wallace Library at QA377 .M36 2005

Campus

RIT – Main Campus

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