The singular eigenfunction method: the critical slab problem for linearly anisotropic scattering
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R. G. Türeci
Abstract
The critical slab problem for linearly anisotropic scattering is investigated using the singular eigenfunction method. The third form of the transport equation is considered. The singular eigenfunctions for linearly anisotropic scattering are inserted into the Green's function. This Green's function with the full range orthogonality relations of the singular eigenfunctions together with the appropriate boundary conditions provide the criticality equation. This equation is exact and leads as shown in tables to fast converging numerical results.
Kurzfassung
Das kritische Plattenproblem für linear anisotrope Streuung wird untersucht mit Hilfe der Methode der singulären Eigenfunktion. Dazu wird die dritte Form der Transportgleichung betrachtet. Die singulären Eigenfunktionen für linear anisotrope Streuung werden in die Green's Funktion eingesetzt. Diese Green's Funktion mit dem vollen Satz der Orthogonalitätsbeziehungen der singulären Eigenfunktionen zusammen mit den geeigneten Randbedingungen liefern die Kritikalitätsgleichung. Diese Gleichung ist genau und führt, wie dies in den Tabellen gezeigt wird zu schnell konvergierenden numerischen Ergebnissen.
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© 2005, Carl Hanser Verlag, München
Artikel in diesem Heft
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries/Kurzfassungen
- Technical Contributions/Fachbeiträge
- Simulation of the neutronic-thermal hydraulic stability behaviour of boiling water reactors
- Validation of the CFD code FLUENT by post test calculation of a ROCOM experiment with density driven coolant mixing
- Production of 4He and 3He from tantalum and tungsten irradiated with nucleons at energies up to 1 GeV
- Fire hazard analysis at Ignalina Nuclear Power Plant
- Analysis of future nuclear power plants competitive investment costs with stochastic methods
- Approximation method for the adjoint neutron spectrum in heterogeneous media
- Positive temperature reactivity coefficient of a TRIGA reactor at room temperature
- The singular eigenfunction method: the critical slab problem for linearly anisotropic scattering
- Effects of spectral shifting in an inertial confinement fusion system
- Technical Notes/Technische Mitteilungen
- A fool proof non-proliferation nuclear reactor concept
Artikel in diesem Heft
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries/Kurzfassungen
- Technical Contributions/Fachbeiträge
- Simulation of the neutronic-thermal hydraulic stability behaviour of boiling water reactors
- Validation of the CFD code FLUENT by post test calculation of a ROCOM experiment with density driven coolant mixing
- Production of 4He and 3He from tantalum and tungsten irradiated with nucleons at energies up to 1 GeV
- Fire hazard analysis at Ignalina Nuclear Power Plant
- Analysis of future nuclear power plants competitive investment costs with stochastic methods
- Approximation method for the adjoint neutron spectrum in heterogeneous media
- Positive temperature reactivity coefficient of a TRIGA reactor at room temperature
- The singular eigenfunction method: the critical slab problem for linearly anisotropic scattering
- Effects of spectral shifting in an inertial confinement fusion system
- Technical Notes/Technische Mitteilungen
- A fool proof non-proliferation nuclear reactor concept
