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Title page for ETD etd-11112004-141443


Type of Document Dissertation
Author Mao, Shaolin
URN etd-11112004-141443
Title Numerical Simulation of Quench Propagation in Superconducting Magnets by Using High Order Methods
Degree Doctor of Philosophy
Department Mechanical Engineering, Department of
Advisory Committee
Advisor Name Title
Cesar A. Luongo Committee Chair
Chiang Shih Committee Member
David A. Cartes Committee Member
David A. Kopriva Committee Member
Keywords
  • High Order Method
  • Superconducting Magnet
  • CICC
  • Quench Propagation
  • Discontinuous Galerkin
  • Spectral Element
Date of Defense 2004-10-18
Availability unrestricted
Abstract
In this study, two high-order numerical methods were applied to simulate quench propagation in cable-in-conduit superconductor (CICC) magnets. The main consideration in this dissertation is to seek some numerical methods with high accuracy (resolution) and efficiency. The first method was dispersion-relation-preserving (DRP) schemes to solve quench propagation in CICC at early phase to decrease dispersion errors. The second one was discontinuous Galerkin (DG) spectral element methods which overcome numerical difficulties encountered by most classical methods. The numerical solution showed high accuracy and resolution in large gradient regions of quench propagation. Roe’s approximate Riemann solver was solved for helium for the first time by using curve fitting to the Riemann integral.

In the study, a simple physical model, the energy balance model, was proposed for the first time to track the superfluid helium and normal helium fronts in CICC magnets. This new model was used to analyze the thermal stability the NHMFL 45-T hybrid magnets systems. This model resulted in high efficiency of numerical simulation of thermal stability analysis compared to complicated 1D quench propagation model. To improve numerical efficiency, adaptive mesh techniques were also introduced. This model can effectively speed up the simulation of helium boundary tracking problems while retaining high accuracy of simulation.

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