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VALIDATING STEADY TURBULENT FLOW SIMULATIONS USING STOCHASTIC MODELS

Chabot, John Alva
http://orcid.org/0000-0003-1566-1461
http://rave.ohiolink.edu/etdc/view?acc_num=miami1443188391

Abstract Details

2015, Master of Science, Miami University, Computational Science and Engineering.
Proper Orthogonal Decomposition was heralded as an objective means of extracting coherent structures from turbulent flows. Prior to its introduction, coherent structures were subjectively defined and discussed among experts. Since its introduction many reduced order models have been developed with inconsistent and often flow dependent validation procedures. This work sets up a framework for a data driven approach to validation of reduced order models derived from steady turbulent flows. Here it is proposed that the `goodness' of a model can be scored by how similar experimental and simulated data move through the model space. This is achieved by generating a Markov model for both data sets, using clustering techniques and maximum likelihood estimates. Results show increasing scores correlate with improved turbulent kinetic energy and modal amplitude for 3 data sets and 14 models. Additionally the generation of a surrogate Markov model can be used to identify missing dynamics in a simulation.
Caraballo Edgar , Dr. (Advisor)
Mehdi Safari, Dr. (Committee Member)
Andrew Sommers, Dr. (Committee Member)
121 p.
Fluid Dynamics; Mathematics; Statistics
fluid dynamics; validation; reduced order models; proper orthogonal decomposition; galerkin method; Markov model; maximum likelihood estimate; clustering

Recommended Citations

Citations

  • Chabot, J. A. (2015). VALIDATING STEADY TURBULENT FLOW SIMULATIONS USING STOCHASTIC MODELS [Master's thesis, Miami University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=miami1443188391

    APA Style (7th edition)

  • Chabot, John. VALIDATING STEADY TURBULENT FLOW SIMULATIONS USING STOCHASTIC MODELS. 2015. Miami University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=miami1443188391.

    MLA Style (8th edition)

  • Chabot, John. "VALIDATING STEADY TURBULENT FLOW SIMULATIONS USING STOCHASTIC MODELS." Master's thesis, Miami University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=miami1443188391

    Chicago Manual of Style (17th edition)

miami1443188391
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This open access ETD is published by Miami University and OhioLINK.