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Eigenvalue solution on the heterogeneous multicore cluster for nuclear fusion reactor monitoring

Kushida, Noriyuki; Takemiya, Hiroshi; Tokuda, Shinji

In this study, we developed a high speed eigenvalue solver that is the necessity of plasma stability analysis system for International Thermo-nuclear Experimental Reactor (ITER) on Cell cluster system. Our stability analysis system is developed in order to prevent the damage of the ITER from the plasma disruption. The stability analysis system requires solving the eigenvalue of matrices whose dimension is hundred thousand in a few seconds. However, current massively parallel processor (MPP) type supercomputer is not applicable for such short-term calculation, because of the network overhead become dominant. Therefore, we employ Cell cluster system, because we can obtain sufficient processing power with small number of processors. Finally, we succeeded to solve the block tri-diagonal Hermitian matrix, which had 1024 diagonal blocks and each block size was 128$$times$$128, within one second.

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