Takhirov, Aziz
(2014)
Numerical Analysis of the Flows in the Pebble Bed Geometries.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
Many industrial processes in engineering occur in complex fluid-solid regions. In this thesis, we discuss Finite Element algorithms for modelling the fluid flow and heat transfer in such domains. Often times, for these types of problems, the meshing (and remeshing for time-dependant problems) process is the most computationally demanding portion of the solution process. We develop and analyze various algorithms that can be applied on a uniform mesh, by incorporating information about the geometry of the flow domain into the model.
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
|
| Date: |
25 September 2014 |
| Date Type: |
Publication |
| Defense Date: |
9 May 2014 |
| Approval Date: |
25 September 2014 |
| Submission Date: |
18 June 2014 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Number of Pages: |
109 |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
Navier-Stokes, Brinkman, fictitious domain, Lagrange multiplier, volume penalization |
| Date Deposited: |
25 Sep 2014 16:22 |
| Last Modified: |
15 Nov 2016 14:20 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/21857 |
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