The four most commonly used eigenvalues of the quasi-stationary transport equation are: k, α, γ and δ. Incorporating all these eigenvalues into one equation yields δΩ&oarr;.∇Ψ+ΣΨ+(α/v)Ψ=(Sf/k+Ss)/γ. This equation is solved with one of the eigenvalues `active' while all the other eigenvalues retain their `mute' values (k=1, α=0, γ=1, δ=1). Most computer codes compute directly either the k eigenvalue or the γ eigenvalue. In order to compute α or δ two different approaches are known: the interpolation scheme and the direct scheme. The authors appraise these schemes and show that both can be interpreted as indirect computations utilizing different methods of numerical analysis.
|Title of host publication||Nuclear Societies of Israel Transactions. Annual Meeting 1985|
|Place of Publication||Beer-Sheva, Israel|
|Pages||6 - 8|
|Number of pages||3|
|State||Published - 1985|
Bibliographical noteindirect computation;transport equation eigenvalues;interpolation scheme;direct scheme;
- neutron transport theory