[논문]Development of the Discrete-Ordinates, Nodal Transport Methods Using the Simplified Even-Parity Neutron Transport Equation

Noh, Taewan

[국내논문] Development of the Discrete-Ordinates, Nodal Transport Methods Using the Simplified Even-Parity Neutron Transport Equation 원문보기

Journal of the Korean Nuclear Society = 원자력학회지, v.32 no.6, 2000년, pp.605 - 617

Noh, Taewan (Hong Ik University)

Abstract ▼ AI-Helper

Nodal transport methods are studied for the solution of two dimensional discrete-ordinates, simplified even-parity transport equation(SEP) which is known to be an approximation to the true transport equation. The polynomial expansion nodal method(PEN) and the analytic function expansion nodal method(AFEN）which have been developed for the diffusion theory are used for the solution of the discrete-ordinates form of SEP equation. Our study shows that while the PEN method in diffusion theory can directly be converted without complication, the AFEN method requires a theoretical modification due to the nonhomogeneous property of the transport equation. The numerical results show that the proposed two methods work well with the SEP transport equation with higher accuracies compared with the conventional finite difference method.

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제안 방법

Most importantly regarding this study, the elliptic operator of SEP is the same as that of the diffusion equation, so it will be easier to implement the conventional nodal diffusion methods into SEP rather than into the other types of transport equations. In this work, we develope the nodal methods for the solution of SEP using the polynomial expansion nodal method(PEN) and the analytic function expansion nodal method(AFEN). Those two methods are selected as candidates, since they are acknowledged as superior to the other methods and the various limitation caused by the transverse integration can be avoided.

참고문헌 (10)

R. D. Lawrence, 'Progress in Nodal Methods for the Solution of the Neutron Diffusion and Transport Equations', Prog. Nucl. Energy, 17, 271 (1988)

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Taewan Noh, W. F. Miller, Jr., and J. E. Morel, 'Improved Approximations Applied to the SN Even-Parity Equations', Trans. Am. Nucl. Soc., 69, 214 (1993)
Taewan Noh, W. F. Miller, Jr., and J. E. Morel, 'The Even-Parity and Simplified Even-Parity Transport Equation in Two-Dimensional X-Y Geometry', Nucl. Sci. Eng. 123, 38-56 (1996)
Jin Young Cho, Chang Hyo Kim, Taewan Noh, 'Polynomial Nodal Transport Method in Hexagonal Geometry', Trans. Am. Nucl. Soc., 77, 187 (1997)
Jae Man Noh and Nam Jin Cho, 'A New Approach of Analytic Bases Function Expansion to Neutron Diffusion Nodal Calculation', Nucl. Sci. Eng., 116, 165 (1994)
Taewan Noh, 'Mitigation and Elimination of Ray Effects using the Even-Parity form of Transport Equations', Proceeding of the '96 Korean Nuclear Society Spring Meeting, vol.1, p173-178, Cheju University, May 31-June 1, (1996)
D. I. Tomasevic and E. W. Larsen, 'The Simplified P2 Approximation', Nucl. Sci. Eng., 122, 309-325 (1996)

상세보기
J. J. Duderstadt and W. R. Martin, Transport Theory, John Wiley & Sons (1979)
E. E. Lewis and W. F. Miller, Jr., Computational Methods of Neutron Transport, John Wiley & Sons (1993)
N. Z. Cho, Y. H. Kim, and K. W. Park, 'Extension of Analytic Function Expansion Nodal Method to Multigroup Problems in Hexagonal-Z Geometry,' Nucl. Sci. Eng., 126, 35 (1997)

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