Journal Article10.13182/NSE77-A27392
Two Nodal Methods for Solving Time-Dependent Group Diffusion Equations
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TL;DR: In this article, two methods for solving the transient group diffusion equations for reactors composed of large homogeneous nodal regions were developed, in which nodal coupling constants are in effect computed by an analytical method; in the second, a polynomial expansion of the flux is used.
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Abstract: Two methods are developed for solving the transient group diffusion equations for reactors composed of large homogeneous nodal regions. In the first scheme, nodal coupling constants are in effect computed by an analytical method; in the second, a polynomial expansion of the flux is used. Both methods yield accurate static and dynamic results in very short computing times.
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Citations
Diffusion theory methods for spatial kinetics calculations
T.M. Sutton,B.N. Aviles +1 more
TL;DR: In this paper, a transverse-integrated class of nodal methods for solving the time-dependent neutron diffusion equation for nuclear reactor analysis is described, as well as techniques for performing the time integration.
115
Development of the nodal collocation method for solving the neutron diffusion equation
TL;DR: In this paper, the authors truncated the tensorial expansions using the serendipity approximation in an attempt to reduce the total number of unknowns and improve the effectiveness of the nodal collocation method.
74
A Linear Discontinuous Finite Difference Formulation for Synthetic Coarse-Mesh Few-Group Diffusion Calculations
J.M. Aragones,Carol Ahnert +1 more
TL;DR: In this article, a linear discontinuous finite difference formulation to solve the diffusion equations in coarse mesh and few groups is developed, where the correction factors for heterogeneities, coarse mesh, and spectral effects are general interface flux discontinuity factors that can be explicitly calculated (synthetized) from detailed diffusion or transport solutions in fine mesh (heterogeneous) and multigroups, preserving the integrated fluxes and interface net currents.
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