Journal ArticleDOI
A Time-Dependent, Three-Dimensional Neutron Transport Methodology
Sedat Goluoglu,H.L. Dodds +1 more
TLDR
In this paper, an improved quasi-static method is applied to the time-dependent, three-dimensional neutron transport equation with explicit representation of delayed neutrons, and the resulting new code, which uses a threedimensional, discrete ordinates code (TORT) to solve the static fixed-source equations, is tested using transient benchmark problems.Abstract:
An improved quasi-static method is applied to the time-dependent, three-dimensional neutron transport equation with explicit representation of delayed neutrons. The relevant equations are derived, and the corresponding implementation of the method is presented. The resulting new code, which uses a three-dimensional, discrete ordinates code (TORT) to solve the static fixed-source equations, is tested using transient benchmark problems that are available in the literature. Results obtained with the new time-dependent code, named TDTORT, are in satisfactory agreement with the benchmark problem results.read more
Citations
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Journal ArticleDOI
The quasi-static method revisited
TL;DR: Improved Quasi-static Method (IQM) as discussed by the authors is a standard tool for the space-time solution of neutron transport problems in multiplying media, where the shape equation is solved on a long time scale, while the amplitude is determined on a short time scale.
Journal ArticleDOI
Dynamic Monte Carlo Method for Nuclear Reactor Kinetics Calculations
TL;DR: In this article, the Dynamic Monte Carlo method (Dynamic MC) is proposed to solve the coupled Boltzmann and kinetic equations with exact geometry and continuous energy, using only Monte Carlo techniques.
Journal ArticleDOI
Introductory Nuclear Reactor Dynamics
TL;DR: In this article, the authors introduce the concept of nuclear Reactor Dynamics and present a theoretical analysis of the dynamics of nuclear nuclear Reactors and their performance in terms of energy efficiency.
Journal ArticleDOI
A Monte Carlo Method for Calculation of the Dynamic Behaviour of Nuclear Reactors
TL;DR: In this article, a full Monte Carlo method is proposed to perform these calculations on seconds to minutes scale without approximations, and the simulation is now divided in time steps and the ancestor of a particle needs to be tracked throughout the simulation for proper variance estimation.
Journal ArticleDOI
DORT-TD: A Transient Neutron Transport Code with Fully Implicit Time Integration
Andreas Pautz,Adolf Birkhofer +1 more
TL;DR: In this article, a time-dependent analysis of nuclear systems has been developed based on the well-known Discrete Ordinates code DORT, which solves the steady-state neutron transport equation in two dimensions for an arbitrary number of energy groups and standard regular geometries.
References
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Journal ArticleDOI
LSODE and LSODI, two new initial value ordinary differential equation solvers
TL;DR: Two new packages are available for the numerical solution of the initial value problem for stiff and nonstiff systems of ordinary differential equations (ODE's). LSODE solves explicitly given ODE systems, while LSODI solves systems given in linearly implicit form, including differential-algebraic systems.
Journal ArticleDOI
The application of reactor kinetics to the analysis of experiments
TL;DR: In this article, the conventional kinetics equations for reactors in which fuel is stationary are derived without approximation from the time-dependent transport equation, and the utility of the precise form which results is discussed, first generally, then with reference to the detailed analysis of two typical experiments.
Journal ArticleDOI
Accuracy of the quasistatic treatment of spatial reactor kinetics.
K. O. Ott,D. A. Meneley +1 more
TL;DR: The quasistatic approach of treating the spatial dynamics problem is described as one method out of a full sequence of methods that factorize the flux into an amplitude and a shape function as mentioned in this paper.