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Parallel resolution of the two-group time dependent neutron diffusion equation with public domain ODE codes. (English) Zbl 1118.82300
Daydé, Michel (ed.) et al., High performance computing for computational science – VECPAR 2004. 6th international conference, Valencia, Spain, June 28–30, 2004. Revised selected and invited papers. Berlin: Springer (ISBN 3-540-25424-2/pbk). Lecture Notes in Computer Science 3402, 368-381 (2005).
Summary: In this paper it is shown how specialised codes for the resolution of ordinary differential equations (FCVODE [A. C. Hindmarsh and A. G. Taylor, PVODE and KINSOL: parallel software for differential and nonlinear systems. Lawrence Livermore National Laboratory Report UCRL-ID-129739 (1998)], DASPK [P. N. Brown, A. C. Hindmarsh and L. R. Petzold “Using Krylov methods in the solution of large-scale differential- algebraic systems”, SIAM J. Sci. Comput. 15, No. 6, 1467–1488 (1994; Zbl 0812.65060)]) can be used to solve efficiently the time dependent neutron diffusion equation. Using these codes as basis, several new codes have been developed, combining the sequential and parallel versions of DASPK and FCVODE with different preconditioners. Their performance has been assessed using a two-dimensional benchmark (the TWIGL reactor).
For the entire collection see [Zbl 1068.68004].
82-08 Computational methods (statistical mechanics) (MSC2010)
82D75 Nuclear reactor theory; neutron transport
35K57 Reaction-diffusion equations
65Y15 Packaged methods for numerical algorithms
65Z05 Applications to the sciences
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