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Диплом - Scheichl R. Parallel Solution of the Transient Multigroup Neutron Diffusion Equations with Multi-Grid and Preconditioned Krylov-Subspace Methods
Institut fur Mathematik, Kepler Universitat, Linz, 1997, 108 pp.
For the safety and the control of a nuclear power plant it is necessary to simulate the occurring processes on a computer system. The centre point of conce in the nuclear reactor simulation is the reactor core. The nuclear fission in the reactor core can be best described with a neutron balance. The according three-dimensional problem is described by a complicated system of coupled parabolic partial differential equations and the solution can involve very intensive computing. It is therefore essential to find effective algorithms.
The continuing progress in the area of multiprocessor technology motivates the application of parallel algorithms. Numerous parallel core analysis methods have been reported in literature, but the results are not quite satisfactory yet. The aim of this dissertation was to find an effective solution method that allows for good speedup results even for 10 or more processors and which is competitive to the existing parallel methods, or even better.
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