Abstract

In this thesis, a combination of Isogeometric Analysis (IGA) and Finite Volume Method (FVM) on geometries parameterized by Non-Uniform Rational Basis Splines (NURBS) is explored with applications in fluid flow, heat transfer, and shape optimization. An IGA framework supplemented with FVM is created in MATLAB® to solve problems defined over single patch domains with mesh refinement by node insertion. Additionally, a second-order finite difference method is developed using non-orthogonal curvilinear coordinates and a numerical Jacobian of the NURBS geometry. The examples include fully developed laminar flow through ducts, potential flow around a tilted ellipse, transient heat conduction, linear advection-diffusion, and a basic shape optimization example using a particle swarm technique. The numerical results are compared among the methods and verified with available analytical solutions.

Library of Congress Subject Headings

Isogeometric analysis--Data processing; Finite volume method

Publication Date

7-14-2014

Document Type

Thesis

Student Type

Graduate

Degree Name

Mechanical Engineering (MS)

Department, Program, or Center

Mechanical Engineering (KGCOE)

Advisor

Amitabha Ghosh

Advisor/Committee Member

Alexander Liberson

Advisor/Committee Member

Stephen Boedo

Comments

Physical copy available from RIT's Wallace Library at TA347.F5 P36 2014

Campus

RIT – Main Campus

Plan Codes

MECE-MS

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