A synthetically accelerated weighted diamond scheme for charged-particle transport calculations

Journal Article · Thu Feb 01 04:00:00 EST 1990 · Nuclear Science and Engineering; (USA)

OSTI ID:6682949

Honrubia, J J ^[1]; Morel, J E ^[2]

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1. Universidad Politecnica de Madrid (Spain)
2. Los Alamos National Lab., NM (USA)

A new weighted diamond scheme is developed to solve the linear Fokker--Planck equation for suprathermal charged-particle transport. Such a scheme is based on the preservation of the asymptotic behavior of the linear discontinuous finite element scheme previously proposed. A simpler steplike scheme has been also considered. The results show that the weighted diamond scheme is as accurate as the linear discontinuous one, preserving the energy-position-angle correlation of charged-particle slowing down with less calculational effort. The steplike scheme does not preserve this coupling, giving results similar to those obtained by multigroup methods. A spectral analysis of the iteration of the scattering term shows that the convergence process can be unacceptably slow when the momentum transfer cross section is dominant. Consequently, the weighted diamond scheme has been accelerated by the S{sub 2} synthetic method, significantly improving its convergence rate. The results show that the accelerated weighted diamond scheme is highly effective for electron transport calculations.

• OSTI ID: 6682949
• Journal Information: Nuclear Science and Engineering; (USA), Journal Name: Nuclear Science and Engineering; (USA) Vol. 104:2; ISSN 0029-5639; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

640304 -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ASYMPTOTIC SOLUTIONS
CALCULATION METHODS
CHARGED-PARTICLE TRANSPORT
DIFFERENTIAL EQUATIONS
ELECTRON TRANSFER
EQUATIONS
FOKKER-PLANCK EQUATION
PARTIAL DIFFERENTIAL EQUATIONS
RADIATION TRANSPORT