An analytical solution for the one-dimensional time-dependent SN transport equation for bounded and unbounded domains in cartesian geometry
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C. F. Segatto
Abstract
In this work a general analytical solution is reported, expressed in integral form for the time-dependent, one-dimensional SN transport equation in cartesian geometry valid for bounded and unbounded domains (0 < x <), using the double Laplace transform technique. The main idea consists in the application of the Laplace transform technique in time variable and the solution of the resulting equation by the LTSN method using appropriate boundary conditions for bounded and unbounded domain problems. We also report about the numerical simulations carried out.
Kurzfassung
Eine analytische Lösung für die eindimensionale, zeitabhängige SN Transportgleichung für beschränkte und unbeschränkte Gebiete in kartesischer Geometrie. In der vorliegenden Arbeit wird über eine allgemeine analytische Lösung berichtet, ausgedrückt in integraler Form, für die eindimensionale, zeitabhängige SN Transportgleichung in kartesischer Geometrie für beschränkte und unbeschränkte Gebiete (0 < x <) unter Verwendung des Laplace-Transformationsverfahrens. Die grundlegende Idee besteht in der Anwendung des zeitvariablen Laplace-Transformationsverfahrens und der Lösung der resultierenden Gleichungen mit Hilfe der LTSN Methode und geeigneter Randbedingungen für beschränkte und unbeschränkte Gebiete. Über die durchgeführten numerischen Simulationen wird ebenfalls berichtet.
References
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© 2010, Carl Hanser Verlag, München
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- An analytical solution for the one-dimensional time-dependent SN transport equation for bounded and unbounded domains in cartesian geometry
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Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- European clearinghouse on nuclear power plants operational experience feedback
- Investigation on primary side oriented accident management measures in a hypothetical station blackout scenario for a VVER-1000 pressurized water reactor
- Heat transfer to the building structures of the Ignalina NPP accident localisation system
- Algorithmic determination of fuel rod cladding burst time at elevated temperatures
- Development of a decommissioning strategy for the MR research reactor
- Neutron transmutation doping conceptual design
- Design optimization of shell-and-tube heat exchangers using single objective and multiobjective particle swarm optimization
- Chebyshev polynomials expansion method for solving the one-dimensional transport equation in spherical geometry
- Heuristic geometric “eigenvalue universality” in a one-dimensional neutron transport problem with anisotropic scattering
- An analytical solution for the one-dimensional time-dependent SN transport equation for bounded and unbounded domains in cartesian geometry
- Accurate critical slab calculations for various degrees of anisotropy and for different reflection coefficients
- Technical Notes/Technische Mitteilungen
- The boundary problem in the 1D-CANDLE burn-up reactor
