摘要:

The International Workshop on Application of the Finite Element Method in Numerical Reactor Calculations was organized by Daniel Meade, and was held in April 27–30, 1982 at the National Autonomous University in Mexico City.

ISSN:0041-1450    

DOI:10.1080/00411458308211632

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

A general formalism using piecewise continuous functions in “time” is proposed for the discretization of “initial” value problems. After some practical choices have been examined in Section 2, applications to kinetics and transport are mentioned in Section 3.

ISSN:0041-1450    

DOI:10.1080/00411458308211633

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

The method of Galerkin is used to obtain a semidiscrete formulation of the time-dependent multigroup diffusion equa-tions which are then integrated in time by the -method to obtain a system of algebraic equations.

ISSN:0041-1450    

DOI:10.1080/00411458308211634

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

The method of orthogonal collocation (OC) is used to find approximate solutions for the neutron group flux and precursor concentration equations of space-time nuclear reactor dynamics. In the OC method, the unknown solution is approximated by a finite linear combination û of local basis functions. The coefficients of this linear combination are determined by forcing the “defect”, Lû - f, to zero at the Gaussian quadrature abscissae selected as collocation points for maximum accuracy.

ISSN:0041-1450    

DOI:10.1080/00411458308211635

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

In the past several years, with the development of the coarse-mesh schemes for the spatial discretization of the diffusion equations, the computing time for the static neutron flux calculations has been reduced considerably over the conventional finite difference scheme. For the temporal discretization in the time-dependent case, a fully implicit method (FIM) was found to be more efficient than either the explicit or the alternating-direction explicit method. In this paper, a new approach using the collocation method is investigated for the temporal discretization in an effort to further improve the computing time over that of the FIM.

ISSN:0041-1450    

DOI:10.1080/00411458308211636

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

One of the dominant numerical approximation methods for the integro-differential equation for neutron transport is the discrete-ordinates method1. In this method one collocates the equation at preselected angular directions which are the quadrature points of the integral scattering term (the “discrete ordinates”), and then solves the resulting linear hyperbolic system by a variety of difference schemes. The problem with this hybrid collocation difference procedure lies in connecting the spatial differencing with the angular collocation. The possible mismatch can lead to distortions in the angular flux solution. These have led to numerous meliorative procedures, and an extensive literature2,3,4.

ISSN:0041-1450    

DOI:10.1080/00411458308211637

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

A high order spatial differencing technique based on finite element and collocation methods is presented. Collocation is used at the intersection points of streaming rays with the mesh cell boundaries, where flux values are readily available. With all collocation points located on the cell edges, the maximum order of approximation is sixteen. )Here order means simply the number of trial functions per mesh cell.( An even higher order of approximation would be possible if interior collocation points were used. A set of trial functions suitable for an eighth order calculation is given.

ISSN:0041-1450    

DOI:10.1080/00411458308211638

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor