Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Discontinuous Galerkin spectral element simulation of a type of wave propagation with large source terms

Shaolin Maoa,*, Cesar A. Luongoa, David A. Koprivab
aCenter for Advanced Power Systems, and NHMFL, Florida State University, Tallahassee, FL 32310, USA bDepartment of Mathematics, Florida State University, Tallahassee, FL 32306, USA

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In this paper we simulate 1D quench propagation in superconducting magnets using cable-in-conduit conductors (CICC) by a discontinuous Galerkin (DG) spectral element method (SEM) and explicit Runge-Kutta time integration. The work seeks an algorithm exhibiting both high accuracy and efficiency. The supercritical helium flow is considered in the modeling of quench propagation in CICC, which can be expressed by the Euler equations with additional friction and coupled heat transfer between helium and conductor and conduit. Roe's approximate Riemann solver for a real gas/fluid is used to compute numerical flux and non-reflecting boundary condition is introduced in the algorithm. The method used here is highly parallelizable. Some numerical results are given and compared with those obtained by other simulation methods and experimental data.

Keywords:  Quench propagation; Discontinuous Galerkin; Spectral element method

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