Advisory Committee Chair
Muhammad Mohebujjaman
Advisory Committee Members
Ian Knowles
Marius Nkashama
Zoran Grujic
Document Type
Thesis
Date of Award
1-1-2025
Degree Name by School
Master of Science (MS) College of Arts and Sciences
Abstract
Ensemble methods are widely used to approximate solutions for the Navier-Stokes Equations to account for inherent uncertainties within the system. This work goes about the numerical analysis and efficiency assessment of a fully discretized Ensemble Eddy Viscosity (EEV) model for the incompressible Stochastic Navier-Stokes Equations. The model is efficient due to the use of ensemble methods. Through a single coefficient matrix for $J$ realizations, we reduce computational cost and thereby ensure computational efficiency. It is found that the model is robust with the inclusion of the eddy viscosity term, as an additional uncertainty quantification. Finally, we verify theoretical convergence rates and that the model is accurate through several numerical experiments and benchmarking tests.
Recommended Citation
Berry, Brandiece, "Numerical Analysis And The Deal.Ii Implementation Of An Efficient And Robust Parameterized Ensemble Algorithm For Navier Stokes Flow In The Convection-Dominated Regimes" (2025). All ETDs from UAB. 6819.
https://digitalcommons.library.uab.edu/etd-collection/6819
Comments
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