Multigrid method applied to the solution of an elliptic, generalized eigenvalue problem

Conference · Tue Dec 31 04:00:00 EST 1996

OSTI ID:440709

Alchalabi, R M ^[1]; Turinsky, P J ^[2]

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1. BOC Group, Murray Hill, NJ (United States)
2. North Carolina State Univ., Raleigh, NC (United States)

The work presented in this paper is concerned with the development of an efficient MG algorithm for the solution of an elliptic, generalized eigenvalue problem. The application is specifically applied to the multigroup neutron diffusion equation which is discretized by utilizing the Nodal Expansion Method (NEM). The underlying relaxation method is the Power Method, also known as the (Outer-Inner Method). The inner iterations are completed using Multi-color Line SOR, and the outer iterations are accelerated using Chebyshev Semi-iterative Method. Furthermore, the MG algorithm utilizes the consistent homogenization concept to construct the restriction operator, and a form function as a prolongation operator. The MG algorithm was integrated into the reactor neutronic analysis code NESTLE, and numerical results were obtained from solving production type benchmark problems.

• Research Organization: Front Range Scientific Computations, Inc., Lakewood, CO (United States)
• OSTI ID: 440709
• Report Number(s): CONF-9604167--Vol.2; ON: DE96015307
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
66 PHYSICS
99 GENERAL AND MISCELLANEOUS
ALGORITHMS
EIGENVALUES
ITERATIVE METHODS
NEUTRON DIFFUSION EQUATION
NODAL EXPANSION METHOD
NUMERICAL SOLUTION
REACTOR PHYSICS