A first-order integral method developed for the VARIANT code

Conference · Sat Jul 01 04:00:00 EDT 2006

OSTI ID:22039708

Smith, M A ^[1]; Lewis, E E ^[2]; Palmiotti, G; Yang, W S ^[1]

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1. Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL 60439 (United States)
2. Northwestern Univ., Dept. of Mechanical Engineering, Evanston, IL 60208 (United States)

A first order nodal integral method using spherical harmonic interface conditions is formulated and implemented into VARIANT [1-3], a variational nodal transport code developed at Argonne National Laboratory. The spatial domain is split into hybrid finite elements, called nodes, where orthogonal polynomial spatial trial functions are used within each node and spatial Lagrange multipliers are used along the node boundaries. The internal angular approximation is weighted with a complete odd-order spherical harmonics set and numerically integrated using a standard angular quadrature. Along the nodal boundaries, even-order Rumyantsev interface conditions are combined with the spatial Lagrange multipliers to couple the nodes together. The new method is implemented in Cartesian geometry and used to solve a fixed source two-dimensional benchmark problem. (authors)

• Research Organization: American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
• OSTI ID: 22039708
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
97 MATHEMATICS AND COMPUTING
BENCHMARKS
CARTESIAN COORDINATES
FINITE ELEMENT METHOD
NEUTRON TRANSPORT
NODAL EXPANSION METHOD
POLYNOMIALS
QUADRATURES
SPHERICAL HARMONICS METHOD
TWO-DIMENSIONAL CALCULATIONS
V CODES
VARIATIONAL METHODS