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A novel interpretation of the hyperbolization method used to solve the parabolic neutron diffusion equations by means of the wave digital concept. (English) Zbl 1107.82075

Summary: The neutron diffusion equations in two energy groups will be dealt with. The underlying parabolic differential equations as well as a hyperbolized version of them will be numerically solved with the wave digital concept. While the hyperbolization process avoids delay-free directed loops in the wave flow diagram, a direct implementation of the parabolic differential equations does not. However, an iteration method can be used to overcome these problems. This results under certain conditions in the same wave digital model. This way, it can be shown that the commonly used hyperbolization can be interpreted as the application of an iteration method.

MSC:

82D75 Nuclear reactor theory; neutron transport
82-08 Computational methods (statistical mechanics) (MSC2010)
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[1] Fettweis, AEÜ International Journal of Electronics and Communications 25 pp 79– (1971)
[2] Fettweis, Proceedings of the IEEE 74 pp 270– (1986)
[3] Fettweis, Journal of VLSI Signal Processing 3 pp 7– (1991)
[4] Fettweis, AEÜ International Journal of Electronics and Communications 46 pp 209– (1992)
[5] Misfeldt, NEA/NEACRP/L 138 pp 1– (1975)
[6] Wagner, Atomkernenergie 30 pp 129– (1977)
[7] Finnemann, Atomkernenergie 30 pp 123– (1977)
[8] Introduction to Nuclear Reactor Theory. Addison-Wesley: Reading, MA, 1972.
[9] . Nuclear Reactor Analysis. Wiley: New York, 1976.
[10] Fettweis, Proceedings of IEEE International Symposium on Circuits and Systems pp 954– (1990)
[11] Die numerische Lösung der Neutronendiffusionsgleichungen in zwei Energiegruppen mit dem Wellendigitalkonzept. Cuvillier, 2004.
[12] Meerkötter, AEÜ International Journal of Electronics and Communications 50 pp 362– (1996)
[13] Fränken, IEEE International Symposium on Circuits and Systems 3 pp 473– (2001)
[14] Ein systemtheoretischer Ansatz zur Lösung der Neutronendiffusionsgleichungen. 14. Steirisches Seminar über Regelungstechnik und Prozessautomatisierung 2005; 182–202.
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