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Filtern nach: Schöpfer Rajbhandari, Evan License Attribution-NonCommercial 4.0 (CC BY-NC 4.0)

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

Hyrax

Stochastic Collocation Error Analysis Within a Kinematic Magnetohydrodynamics Framework

Quantifying uncertainty with stochastic collocation in the kinematic magentohydrodynamic framework

Parameter Estimation within a Kinematic Magnetohydrodynamics Framework

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