A Discontinuous Galerkin Method For Neutron Transport Equations on 3-D Unstructured Grids (joint by

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  Time-dependent neutron transport equation is a kind of important hyperbolic partial differential equation in nuclear science and engineering applications.High dimension neutron transport calculation include computing of space grid,angle direction,energy group and time step,is very complex and huge scale scientific calculation problem.Discontinuous finite element discrete ordinates(DFE-Sn)method is very efficient for solution of such equations especially while concerned with complicated physics including multimedia,larger grid distortion,complex initial and boundary conditions.In this paper,the discrete scheme of Sn discrete ordinate and discontinuous finite method 3-D unstructured tetrahedral meshes are presented.we developed a serial solver with DFE-Sn method to solve time-dependent neutron transport equations on unstructured tetrahedral grids.Domain decomposition scheme and parallel Sn sweep algorithm on unstructured grids are adopted to improve the efficiency,the parallel computation for the scheme is realized on MPI systems.Numerical experiments demonstrate the accuracy and efficiency of these methods.
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