Eigenfunction expansions for linear transport in nonhomogeneous media

Thesis/Dissertation · Sat Jan 01 04:00:00 EST 1983

OSTI ID:6256683

Daniel, R H

The method of singular eigenfunctions expansions, originally developed to obtain closed form solutions of the Boltzmann equation in homogeneous media, is extended for application to nonhomogeneous media problems. It is found that closed form solutions are too difficult to obtain. However, a meaningful portion of the analytical work is possible leading in several cases to singular integral equations for the quantities of interest. These equations can in turn be solved by a collocation scheme known as the F-N method. This semi-analytical approach proves to be much cheaper computationally when compared to purely numerical solutions of these problems, as through the standard S-N (discrete ordinate) method.

• Research Organization: California Univ., Los Angeles (USA)
• OSTI ID: 6256683
• Country of Publication: United States
• Language: English

Related Subjects

657006* -- Theoretical Physics-- Statistical Physics & Thermodynamics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BOLTZMANN EQUATION
COMPUTER CALCULATIONS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EQUATIONS
FUNCTIONS
HETEROGENEOUS EFFECTS
INTEGRAL EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
SERIES EXPANSION
TRANSPORT THEORY