摘要:

A finite-element procedure is presented employing both self-adjoint and non-self-adjoint variational principles associated with the neutron-transport equation. This scheme admits independent approximation of the even-and odd-parity components of the angular flux in any subregion of the system under consideration. Numerical examples in plane and spherical geometries demonstrate that in some cases a substantial gain in accuracy is achieved by the new scheme as compared to the self-adjoint approach.

ISSN:0041-1450    

DOI:10.1080/00411457508247940

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

It is shown that a study of certain class of matrices lead to criticality conditions based on the multigroup neutron transport model for a homogeneous infinite system. A consistent definition of k∞is formulated. A simple example is presented.

ISSN:0041-1450    

DOI:10.1080/00411457508247941

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

The present work extends an earlier study of consequences following from a re-ordering procedure applied to the collision integrals in the coupled Boltzmann equations for a binary gas. The re-ordering is that originally suggested by Grad for describing disparate-mass mixtures, and allows independent species temperatures and flow velocities. First order expressions for the heat flux and pressure tensor are obtained, and some evaluation procedures are discussed. It is shown that the approach leads to a physically unreasonable prediction for the coefficient of thermal conductivity, whereas the classical Chapman-Enskog prediction agrees with a simple mean-free path-estimate. This negative conclusion is shown to be unaffected by second-order corrections.

ISSN:0041-1450    

DOI:10.1080/00411457508247942

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor