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High-Fidelity Simulation of Compressible Flows for Hypersonic Propulsion Applications

Otis, Collin C. (2013) High-Fidelity Simulation of Compressible Flows for Hypersonic Propulsion Applications. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

In the first part of this dissertation, the scalar filtered mass density function (SFMDF) methodology is
implemented into the computer code US3D. The SFMDF is a subgrid scale
closure and is simulated via a Lagrangian Monte Carlo solver. US3D is an Eulerian finite volume code and has proven very effective
for compressible flow simulations. The resulting SFMDF-US3D code is
employed for large eddy simulation (LES) of compressible turbulent flows on
unstructured meshes. Simulations are conducted of subsonic and
supersonic flows. The consistency and accuracy of the simulated
results are assessed along with appraisal of the overall performance
of the methodology.

In the second part of this dissertation, a new methodology is developed for accurate capturing of discontinuities in multi-block finite difference simulations of hyperbolic partial differential equations. The fourth-order energy-stable weighted essentially non-oscillatory (ESWENO) scheme on closed domains is combined with simultaneous approximation term (SAT) weak interface and boundary conditions. The capability of the methodology is demonstrated for accurate simulations in the presence of significant and abrupt changes in grid resolution between neighboring subdomains. Results are presented for the solutions of linear scalar hyperbolic wave equations and the Euler equations in one and two dimensions. Strong discontinuities are passed across subdomain interfaces without significant distortions. It is demonstrated that the methodology provides stable and accurate solutions even when large differences in the grid-spacing exist, whereas strong imposition of the interface conditions causes noticeable oscillations.


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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Otis, Collin C.collin.otis@gmail.com
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairGivi, Peymanpeg10@pitt.eduPEG10
Committee MemberRobertson, Anne M.rbertson@pitt.eduRBERTSON
Committee MemberWang, Guofengguw8@pitt.eduGUW8
Committee MemberYotov, Ivanyotov@math.pitt.eduYOTOV
Date: 28 June 2013
Date Type: Publication
Defense Date: March 2013
Approval Date: 28 June 2013
Submission Date: 20 March 2013
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 99
Institution: University of Pittsburgh
Schools and Programs: Swanson School of Engineering > Mechanical Engineering
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: Large eddy simulation, filtered density function, turbulent reacting flows, multi-block finite difference schemes, high-order numerical methods, WENO shock-capturing, computational fluid dynamics.
Date Deposited: 28 Jun 2013 20:18
Last Modified: 15 Nov 2016 14:10
URI: http://d-scholarship.pitt.edu/id/eprint/17838

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