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Division members promote the advancement of mathematical and computational methods for solving problems arising in all disciplines encompassed by the Society. They place particular emphasis on numerical techniques for efficient computer applications to aid in the dissemination, integration, and proper use of computer codes, including preparation of computational benchmark and development of standards for computing practices, and to encourage the development on new computer codes and broaden their use.
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Orlando, FL|Renaissance Orlando at SeaWorld
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Nuclear new build procurement considerations
It may seem counterintuitive, but the best time to enhance the ability to support operations and maintenance for a new plant is before construction starts. This is one of many lessons learned by the currently operating nuclear fleet. As construction and startup of many nuclear facilities was completed, it quickly became evident that the ability to efficiently support operations and maintenance was limited. Most of the information necessary to establish and manage procurement of spare and replacement items, maintenance, and configuration of the facilities was unavailable and had to be gathered on a case-by-case, “on-demand” basis. Absence of necessary information and the associated challenges resulted in the need for staff augmentation and multiyear-long projects to develop equipment bills of material and maintenance programs and to perform technical evaluations for the huge quantities of spare and replacement items being requested.
Ding She, Ang Zhu, Kan Wang
Nuclear Science and Engineering | Volume 175 | Number 3 | November 2013 | Pages 259-265
Technical Paper | doi.org/10.13182/NSE12-48
Articles are hosted by Taylor and Francis Online.
Burnup calculations consider the time dependence of the material composition or isotope inventory, which has important influence on the neutronic properties of a nuclear reactor. An essential part of burnup calculations is to solve the burnup equations, which can be approximately treated as a first-order linear system and can be solved by means of matrix exponential methods. However, because of the large decay constants of short-lived nuclides, the coefficient matrix of the burnup equations has a large norm and a vast range of spectra. Consequently, it is quite difficult to directly compute the matrix exponential using conventional methods such as the truncated Taylor expansion and the Pade approximation. Recently, the Chebyshev rational approximation method (CRAM), which is based on rational functions on the complex plane, has shown the capability to deal with this problem. In this paper an alternative method based on the generalized Laguerre polynomials is proposed to compute the exponential of the burnup matrix. Against CRAM, the Laguerre polynomial approximation method (LPAM) has simple recursions for obtaining the coefficients in any order, and all the computations are real arithmetic. A point burnup case and a pin-cell burnup case are calculated for validation, and results show that LPAM is promising for burnup calculations.