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Numerical Analysis of the Flows in the Pebble Bed Geometries

Takhirov, Aziz (2014) Numerical Analysis of the Flows in the Pebble Bed Geometries. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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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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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Takhirov, Azizazt7@pitt.eduAZT7
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairLayton, Williamwjl@pitt.eduWJL
Committee MemberYotov, Ivanyotov@math.pitt.eduYOTOV
Committee MemberTrenchea, Catalintrenchea@pitt.eduTRENCHEA
Committee MemberZunino, Paolopaz13@pitt.eduPAZ13
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


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