Subspace iteration for nonsymmetric eigenvalue problems applied to the [lambda]-eigenvalue problem

Journal Article · Mon Nov 01 00:00:00 EST 1993 · Nuclear Science and Engineering; (United States)

OSTI ID:5886310

Doering, M G; Kalkkuhl, J C ^[1]; Schroeder, W ^[2]

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1. Technische Univ., Dresden (Germany)
2. Institute for Troposphere Research, Leipzig (Germany)

Often in reactor dynamics, higher eigenfunctions of the multigroup diffusion equation must be determined. An algorithm to calculate higher eigenfunctions (modes) of the [lambda]-eigenvalue problem corresponding to the steady-state two-group neutron diffusion equation is presented. The method is based on a special type of subspace iteration for large sparse nonsymmetric eigenvalue problems. Having been tested using an International Atomic Energy Agency benchmark problem and also applied to a VVER-1000 pressurized water reactor assembly, the algorithm was found to work very effectively and reliably. In its application, the algorithm presented is not restricted to the [lambda]-eigenvalue problem only but is also generally applicable to large sparse nonsymmetric eigenvalue problems even with multiple and complex eigenvalues.

• OSTI ID: 5886310
• Journal Information: Nuclear Science and Engineering; (United States), Vol. 115:3; ISSN 0029-5639
• Country of Publication: United States
• Language: English

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