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Filtern nach: Schöpfer Rajbhandari, Evan Filter Schöpfer: Rajbhandari, Evan entfernen Decade 2020-2029 Filter Decade: 2020-2029 entfernen

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Optimization under Uncertainty of a Magnetohydrodynamics Generator

Schöpfer:

Rajbhandari, Evan

Abstract:

Within this dissertation, we develop tools and techniques to demonstrate the feasibility of real-time optimization of a magnetohydrodynamics generator. To ease computational complexity, we work on the kinematic magnetohydrodynamic system, prescribing the ﬂuid-ﬂow and model the material response of the system through an updated Generalized Ohm’s law. We focus on...

Resource Type:

Dissertation
Stochastic Collocation Error Analysis Within a Kinematic Magnetohydrodynamics Framework

Schöpfer:

Rajbhandari, Evan, Gibson, Nathan L., and Woodside, C. Rigel

Abstract:

We explore one numerical method for dealing with uncertainty quantification, stochastic collocation. We adapt this method for the uncertain kinematic magnetohydrodynamic system. We then demonstrate well-posedness of the uncertain forward problem. We also describe the method in detail, and perform an error analysis of the method, describing the necessary assumptions...

Resource Type:

Preprint
Quantifying uncertainty with stochastic collocation in the kinematic magentohydrodynamic framework

Schöpfer:

Rajbhandari, Evan, Gibson, Nathan L., and Woodside, C. Rigel

Abstract:

We discuss an efficient numerical method for the uncertain kinematic magnetohydrodynamic system. We include aleatoric uncertainty in the parameters, and then describe a stochastic collocation method to handle this randomness. Numerical demonstrations of this method are discussed. We find that the shape of the parameter distributions affect not only the...

Resource Type:

Preprint
Parameter Estimation within a Kinematic Magnetohydrodynamics Framework

Schöpfer:

Rajbhandari, Evan, Gibson, Nathan L., and Woodside, C. Rigel

Abstract:

We discuss the well-posedness of the forward problem for the magnetohydrodynamic system with the inclusion of the ion-slip parameter. We also demonstrate the convergence of a parameter estimation scheme. Focusing on power-generation, we implement and the validate a numerical model with an engineering multi-physics software, COMSOL, using ideal-power equations. We...

Resource Type:

Preprint

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Academic Affiliation

Mathematics4

Advisor

Gibson, Nathan L.1

Commencement Year

20221

Committee Member

Bokil, Vrushali A.1
Thomann, Enrique A.1
Woodside, C. R.1

Creator

Rajbhandari, Evan4
Gibson, Nathan L.3
Woodside, C. Rigel3

Contributor

Gibson, Nathan L.1
Woodside, C. R.1

Date

Date range begin – Date range end

Current results range from 2021 to 2022

View distribution

Decade

2020-2029[remove]4

Degree Field

Mathematics3

Degree Level

Master's3
Doctoral1

Degree Name

Doctor of Philosophy (Ph.D.)1
Master of Science (M.S.)1

Language

English [eng]4

License

Attribution-NonCommercial 4.0 (CC BY-NC 4.0)3
All rights reserved1

Peer Reviewed

No4

Ressourcentyp

Preprint3
Dissertation1

Rights Statement

In Copyright4

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