Adaptive Parallel Wavelet Method for the Neutron Transport Equations
نویسندگان
چکیده
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.
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