Hritz, Sara Marie
(2010)
Phenomenology and Computations of a Regularization of the Navier-Stokes Equations Related to a Non-Newtonian Fluid Flow Model.
Master's Thesis, University of Pittsburgh.
(Unpublished)
Abstract
This paper analyzes the dynamics of non-Newtonian fluids, those whose viscosity is not constant. First, the Navier-Stokes equations are modified by introducing a new parameter with units of viscosity. Then, the energy equation and micro-scale of the model are derived. This allows the value of the parameter to be determined in order to make the micro-scale the order of the mesh width. Finally, the Finite Element Method with Backward Euler discretization is programmed using FreeFEM++ to simulate the model; a problem with known exact solution is used to test convergence of the method, and the step problem is also discussed.
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Details
Item Type: |
University of Pittsburgh ETD
|
Status: |
Unpublished |
Creators/Authors: |
|
ETD Committee: |
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Date: |
2 June 2010 |
Date Type: |
Completion |
Defense Date: |
22 April 2010 |
Approval Date: |
2 June 2010 |
Submission Date: |
23 April 2010 |
Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
Institution: |
University of Pittsburgh |
Schools and Programs: |
Dietrich School of Arts and Sciences > Applied Mathematics |
Degree: |
MS - Master of Science |
Thesis Type: |
Master's Thesis |
Refereed: |
Yes |
Uncontrolled Keywords: |
partial differential equation; scientific computing |
Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-04232010-001758/, etd-04232010-001758 |
Date Deposited: |
10 Nov 2011 19:41 |
Last Modified: |
15 Nov 2016 13:42 |
URI: |
http://d-scholarship.pitt.edu/id/eprint/7575 |
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