SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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A study of parareal applications to advanced operation scenario simulations of fusion plasma

D. Samaddar, T.A. Casper, S.H. Kim, L.A. Berry, W.R. Elwasif, D. Batchelor and W.A. Houlberg

Abstract
Operation scenario simulations play a significant role in the construction as well as operation of fusion experiments. This work explores the applicability of the Parareal algorithm [1] to such simulations, using the CORSICA [2, 3] code as a test case. CORSICA is an advanced free-boundary equilibrium and transport simulation code used to study scenarios in burning plasma experiments. The ``Parareal Framework" developed at ORNL has been used for the implementation. In the past the algorithm has been applied to multiple problems including fully developed plasma turbulence [5]. CORSICA introduces new challenges. These are quasi steady states with intermittent events resulting from MHD activity, pellet injection or an introduction of ELMs. The algorithm involves a predictor-corrector technique. This work studies the extent of the crudeness of the coarse solver when applying the algorithm. Its successful implementation makes time efficient simulations of ITER-like plasmas more tractable.

Bibliography
[1] J. Lions, Y. Maday and G. Turinici, CR Acad. Sci. I - Math. 332 (7) (2001), pp. 661-668.
[2] T A Casper et al, 23rd Int. Conf. on Fusion Energy Conference (Daejeon, Korea) ITR/P1-19, accepted for publication in Nuclear Fusion (2010).
[3] J A Crotinger et al, LLNL Report UCRL-ID-126284 (1997); NTIS \#PB2005-102154.
[4] L.A. Berry et al, Journal of Computational Physics 231 (17) (2012), pp. 5945-5954.
[5] D. Samaddar, D. E. Newman and R. Sanchez, Journal of Computational Physics 229 (18) (2010), pp. 6558-6573.

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