Boundary-projection acceleration: A new approach to synthetic acceleration of transport calculations

Conference · Thu Jan 01 00:00:00 EST 1987

OSTI ID:6060073

Adams, M L; Martin, W R

We present a new class of synthetic acceleration methods which can be applied to transport calculations regardless of geometry, discretization scheme, or mesh shape. Unlike other synthetic acceleration methods which base their acceleration on P1 equations, these methods use acceleration equations obtained by projecting the transport solution onto a coarse angular mesh only on cell boundaries. We demonstrate, via Fourier analysis of a simple model problem as well as numerical calculations of various problems, that the simplest of these methods are unconditionally stable with spectral radius less than or equal toc/3 (c being the scattering ratio), for several different discretization schemes in slab geometry. 28 refs., 4 figs., 3 tabs.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6060073
• Report Number(s): UCRL-95895; CONF-8705169-1; ON: DE87013221
• Resource Relation: Conference: Nuclear science and engineering conference, Paris, France, 1 May 1987; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
RADIATION TRANSPORT
CALCULATION METHODS
ITERATIVE METHODS
NUMERICAL SOLUTION
SLABS
THEORETICAL DATA
DATA
INFORMATION
NUMERICAL DATA
654001* - Radiation & Shielding Physics- Radiation Physics
Shielding Calculations & Experiments
990230 - Mathematics & Mathematical Models- (1987-1989)