A new least-squares transport equation compatible with voids

Conference · Mon Jul 01 00:00:00 EDT 2013

OSTI ID:22212800

Hansen, J. B.; Morel, J. E. ^[1]

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1. Department of Nuclear Engineering, TAMU 3133, Texas A and M University, College Station, TX 77843-3133 (United States)

We define a new least-squares transport equation that is applicable in voids, can be solved using source iteration with diffusion-synthetic acceleration, and requires only the solution of an independent set of second-order self-adjoint equations for each direction during each source iteration. We derive the equation, discretize it using the S{sub n} method in conjunction with a linear-continuous finite-element method in space, and computationally demonstrate various of its properties. (authors)

• Research Organization: American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
• OSTI ID: 22212800
• Resource Relation: Conference: M and C 2013: 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Sun Valley, ID (United States), 5-9 May 2013; Other Information: Country of input: France; 7 refs.; Related Information: In: Proceedings of the 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering - M and C 2013| 3016 p.
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ACCELERATION
DIFFUSION
EQUATIONS
FINITE ELEMENT METHOD
ITERATIVE METHODS
LEAST SQUARE FIT
TRANSPORT THEORY