A new solution technique is derived for the time-dependent transport equation.
This approach extends the steady-state coarse-mesh transport method that is based on
global-local decompositions of large (i.e. full-core) neutron transport problems. The new
method is based on polynomial expansions of the space, angle and time variables in a
response-based formulation of the transport equation. The local problem (coarse mesh)
solutions, which are entirely decoupled from each other, are characterized by space-,
angle- and time-dependent response functions. These response functions are, in turn, used
to couple an arbitrary sequence of local problems to form the solution of a much larger
global problem. In the current work, the local problem (response function) computations
are performed using the Monte Carlo method, while the global (coupling) problem is
solved deterministically. The spatial coupling is performed by orthogonal polynomial
expansions of the partial currents on the local problem surfaces, and similarly, the timedependent
response of the system (i.e. the time-varying flux) is computed by convolving
the time-dependent surface partial currents and time-dependent volumetric sources
against pre-computed time-dependent response kernels.
| Identifer | oai:union.ndltd.org:GATECH/oai:smartech.gatech.edu:1853/39586 |
| Date | 06 April 2010 |
| Creators | Pounders, Justin Michael |
| Publisher | Georgia Institute of Technology |
| Source Sets | Georgia Tech Electronic Thesis and Dissertation Archive |
| Detected Language | English |
| Type | Dissertation |
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