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Adaptive Parallel Wavelet Method for the Neutron Transport Equations

Heng Zhang () and Wu Zhang ()
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Heng Zhang: Shanghai University, School of Computer Science and Engineering
Wu Zhang: Shanghai University, School of Computer Science and Engineering

A chapter in Current Trends in High Performance Computing and Its Applications, 2005, pp 185-196 from Springer

Abstract: Abstract The numerical solution of the time-dependent neutron transport problem in 2-D Cartesian geometry is considered. The problem is described by a coupled system of hyperbolic partial differential equations with the parameters of multiple groups. The system, for given group parameter, is discretized by a discrete ordinate method (SN) in angular direction and adaptive spline wavelet method with alternative direction implicit scheme (SW-ADI) [CZ98] in space-time domain. A parallel two-level hybrid method [SZ04] is used for solving the large-scale tridiagonal systems arising from the SW-ADI-SN discretization of the problem. The numerical results are coincided with theoretical analysis well.

Keywords: Neutron transport equations; Parallel computing; Adaptive spline wavelet (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27912-9_18

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DOI: 10.1007/3-540-27912-1_18

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