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2010•Unpublished venueRequires access

Nodal SP_3 Method for Solving Neutron Transport Equation

Dong Yao

Open publisher page 2 citations

Abstract

This paper establishes a nodal method to solve the two coupled equations transformed from the transport equation by SP3 method.In the nodal method,diffusion equation is discretized into average fluxes in the nodes and partial currents on the nodal boundaries.Nodal response relationship is obtained by expanding the detailed nodal flux into a sum of exponential functions.Numerical results demonstrates that the nodal SP3 method can treat polygonal meshes in different shapes with good parallel property,and that it can provide a similar accuracy while runs about six times faster than the nodal-SN(N=4) method DNTR under the same mesh.

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What this paper is about

This paper establishes a nodal method to solve the two coupled equations transformed from the transport equation by SP3 method.In the nodal method,diffusion equation is discretized into average fluxes in the nodes and partial currents on the nodal boundaries.Nodal response relationship is obtained by expanding the detailed nodal flux into a sum of exponential functions.Numerical results demonstrates that the nodal SP3 method can treat polygonal meshes in different shapes with good parallel property,and that it can provide a similar accuracy while runs about six times faster than the nodal-SN(N=4) method DNTR under the same mesh.

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Available abstract

This paper establishes a nodal method to solve the two coupled equations transformed from the transport equation by SP3 method.In the nodal method,diffusion equation is discretized into average fluxes in the nodes and partial currents on the nodal boundaries.Nodal response relationship is obtained by expanding the detailed nodal flux into a sum of exponential functions.Numerical results demonstrates that the nodal SP3 method can treat polygonal meshes in different shapes with good parallel property,and that it can provide a similar accuracy while runs about six times faster than the nodal-SN(N=4) method DNTR under the same mesh.

Key concepts: Modified nodal analysis, NODAL, Nodal analysis, Discretization, Mathematics, Exponential function, Polygon mesh, Mathematical analysis

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