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The Navier-Stokes Voight Model and Convergence to equilibrium and statistical equilibrium

Koseoglu, Ali (2011) The Navier-Stokes Voight Model and Convergence to equilibrium and statistical equilibrium. Master's Thesis, University of Pittsburgh. (Unpublished)

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Abstract

This thesis tests accelerating convergence to steady state and statistical equilibrium forthe Navier-Stokes Voight (NSV) Model motivated by the Spin-Up phase of Ocean ClimateModels. First, by adding a new parameter to Navier-Stokes equations, the NSV model isdetermined. Test conditions are identi�ed for spin up, attaining equilibrium, and statisticalequilibrium. Convergence is then analyzed and the Finite Element Method with BackwardEuler discretization is programmed using Free FEM++ to simulate the NSV model. Twoproblems with a known exact solution are used for a square domain. One problem withunknown solution and one problem with known exact solution in circle domain are alsotested for convergence of the method. We �nd that the adding parameter may not accelerateconvergence to equilibrium or statistical equilibrium.

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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Koseoglu, Alialk96@pitt.eduALK96
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairManfredi, Juan J.manfredi@pitt.eduMANFREDI
Committee MemberGartside, Paulgartside@math.pitt.eduPMG20
Committee MemberLayton, William J.wjl@pitt.eduWJL
Date: 14 September 2011
Date Type: Completion
Defense Date: 22 July 2011
Approval Date: 14 September 2011
Submission Date: 21 July 2011
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Mathematics
Degree: MS - Master of Science
Thesis Type: Master's Thesis
Refereed: Yes
Uncontrolled Keywords: Navier Stokes Voight Model; Equilibrium; Spin up
Other ID: http://etd.library.pitt.edu/ETD/available/etd-07212011-205723/, etd-07212011-205723
Date Deposited: 10 Nov 2011 19:52
Last Modified: 15 Nov 2016 13:46
URI: http://d-scholarship.pitt.edu/id/eprint/8496

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