The planar Green`s function in an infinite multiplying medium
Conference
·
OSTI ID:385560
- Los Alamos National Lab., NM (United States)
- Univ. of Arizona, Tucson, AZ (United States). Dept. of Aerospace and Mechanical Engineering
Throughout the history of neutron transport theory, the study of simplified problems that have analytical or semi-analytical solutions has been a foundation for more complicated analyses. Analytical transport results are often used as benchmarks or in pedagogical settings. Benchmark problems in infinite homogeneous media have been studied continually, beginning with the monograph by Case, DeHoffmann, and Placzek. A fundamental problem considered in this work is the Green`s function in an infinite medium. The Green`s function problem considers an infinite planar source emitting neutral particles in the single directions`. Recently, this Green`s function has been used to obtain solutions for finite media. These solutions, which hinge on accurate and fast evaluation of the infinite medium Green`s function, use Fourier and Laplace transform inversion techniques for the evaluation. Until now, only absorbing media have been considered, and applications were therefore limited to non-multiplying media. In an effort to relax this limitation, the infinite medium Green`s function is numerically evaluated for an infinite multiplying medium using the double-sided Laplace transform inversion. Of course, no steady-state mathematical solution exists for an infinite multiplying medium with a source present; however, the non-physical solution in an infinite medium can be used in finite media problems where the solution is physically realizable.
- Research Organization:
- Los Alamos National Lab., NM (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 385560
- Report Number(s):
- LA-UR--96-1952; CONF-961103--14; ON: DE96014038
- Country of Publication:
- United States
- Language:
- English
Similar Records
The Green`s function method for critical heterogeneous slabs
The infinite medium Green's function for neutron transport in plane geometry 40 years later
Monoenergetic particle transport in a semi-infinite medium with reflection
Conference
·
Tue Oct 01 00:00:00 EDT 1996
·
OSTI ID:385562
The infinite medium Green's function for neutron transport in plane geometry 40 years later
Conference
·
Thu Dec 31 23:00:00 EST 1992
· Transactions of the American Nuclear Society; (United States)
·
OSTI ID:6947398
Monoenergetic particle transport in a semi-infinite medium with reflection
Conference
·
Thu Dec 31 23:00:00 EST 1992
· Transactions of the American Nuclear Society; (United States)
·
OSTI ID:5928378