Monoenergetic neutral particle transport in an anisotropically scattering half-space

Conference · Sun Dec 31 04:00:00 EST 1995

OSTI ID:459242

Ganapol, B D ^[1]; Garth, J C ^[2]; Woolf, S ^[3]

---

1. NASA/Ames Research Center, Moffett Field, CA (United States)
2. Phillips Lab., Hanscom, MA (United States)
3. ARCON Corp., Waltham, MA (United States)

During the past several years, a considerable effort has been underway to develop reliable analytical benchmark solutions to the one-speed transport equation in various geometries. The reader may well ask {open_quotes}why{close_quotes} such a task has been undertaken, given the recent rapid advances in numerical transport theory. The simple answer is that reliable numerical solutions do not yet exist, and their development still represents a mathematical challenge. However, regardless of how mathematically challenging the development is, there are more compelling reasons for this effort which are rooted in the very fundamentals of science and technology. In particular, these solutions, which are highly accurate numerical evaluations of analytical solution representations, serve as {open_quotes}industry standards{close_quotes} to which other more approximate methods or approximations can be compared. Thus analytical benchmarks are part of the process control and continuous improvement of numerical transport methods and are therefore integral components in TQM (Total Quality Management) as applied to transport methods development. With the above reasoning in mind, the authors begin the development and application of a new analytical solution and evaluation for a half-space featuring anisotropic scattering. This work is an extension of previous efforts in which isotropically scattering half-spaces were treated. The previous benchmarks were obtained most conveniently via a numerical Laplace transform inversion which could be applied in a straightforward manner to the case of isotropic scattering. The application of the Laplace transform method is problematical for anisotropic scattering and does not admit to the direct identification of the scalar flux from integral transport theory.

• OSTI ID: 459242
• Report Number(s): CONF-950420--
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANISOTROPY
NEUTRAL PARTICLES
SCATTERING
TRANSPORT THEORY