Abstract
The objective of this work is to obtain the dominant λ-modes of a nuclear power reactor. This is a real generalized eigenvalue problem, which can be reduced to a standard one. The method used to solve it has been the Implicitly Restarted Arnoldi (IRA) method. Due to the dimensions of the matrices, a parallel approach has been proposed, implemented and ported to several platforms. This includes the development of a parallel iterative linear system solver. To obtain the best performance, care must be taken to exploit the structure of the matrices.
This work has been developed under the support of the Spanish (TIC96-1062-C03-01) and Valencian (FPI-97-CM-05-0422-G) governments.
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References
Dongarra, J., Eijkhout, V., Kalhan, A.: Reverse communication interface for linear algebra templates for iterative methods. Technical Report UT-CS-95-291, Department of Computer Science, University of Tennessee (May 1995)
Hébert, A.: Application of the Hermite Method for Finite Element Reactor Calculations. Nuclear Science and Engineering 91, 34–58 (1985)
Lefvert, T.: RINGHALS1 Stability Benchmark - Final Report. Technical Report NEA/NSC/DOC(96)22 (November 1996)
Lehoucq, R.B., Sorensen, D.C., Yang, C.: ARPACK USERS GUIDE: Solution of Large Scale Eigenvalue Problems by Implicitly Restarted Arnoldi Methods. SIAM, Philadelphia (1998)
Maschhoff, K.J., Sorensen, D.C.: PARPACK: An Efficient Portable Large Scale Eigenvalue Package for Distributed Memory Parallel Architectures. LNCS, vol. 1184, pp. 478–486 Springer, heidelberg (1996)
MPI Forum. MPI: a message-passing interface standard. International Journal of Supercomputer Applications and High Performance Computing 8(3/4) 159-416, (Fall-Winter 1994)
Saad, Y.: SPARSKIT: a basic tool kit for sparse matrix computation. RIACS Technical Report 90.20, NASA Ames Research Center (1990)
Sorensen, D.C.: Implicitly Restarted Arnoldi/Lanczos Methods For Large Scale Eigenvalue Calculations. Technical Report TR-96-40, Institute for Computer Applications in Science and Engineering (May 1996)
Verdú, G., Muñoz-Cobo, J.L., Pereira, C., Ginestar, D.: Lambda Modes of the Neutron-Diffusion Equation. Application to BWRs Out-of-Phase Instabilities. Ann. Nucl. Energy 7(20), 477–501 (1993)
Vidal, V., Garayoa, J., Verdú, G., Ginestar, D.: Optimization of the Subspace Iteration Method for the Lambda Modes Determination of a Nuclear Power Reactor. Journal of Nuclear Science and Technology 34(9), 929–947 (1997)
Vidal, V., Verdú, G., Ginestar, D., Muñoz-Cobo, J.L.: Variational Acceleration for Subspace Iteration Method. Application to Nuclear Power Reactors. International Journal for Numerical Methods in Engineering 41, 391–407 (1998)
Weston, J.R., Stacey, M.: Space-Time Nuclear Reactor Kinetics. Academic Press, New York (1969)
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Hernández, V., Román, J.E., Vidal, A.M., Vidal, V. (1999). Calculation of Lambda Modes of a Nuclear Reactor: A Parallel Implementation Using the Implicitly Restarted Arnoldi Method. In: Hernández, V., Palma, J.M.L.M., Dongarra, J.J. (eds) Vector and Parallel Processing – VECPAR’98. VECPAR 1998. Lecture Notes in Computer Science, vol 1573. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10703040_5
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DOI: https://doi.org/10.1007/10703040_5
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