Proper orthogonal decomposition methods for noise reduction in particle-based transport calculations

Journal Article · Mon Sep 01 00:00:00 EDT 2008 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2979680· OSTI ID:940350

Del-Castillo-Negrete, Diego B ^[1]; Spong, Donald A ^[1]; Hirshman, Steven Paul ^[1]

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1. ORNL

Proper orthogonal decomposition techniques to reduce noise in the reconstruction of the distribution function in particle-based transport calculations are explored. For two-dimensional steady-state problems, the method is based on low rank truncations of the singular value decomposition of a coarse-grained representation of the particle distribution function. For time-dependent two-dimensional problems or three-dimensional time-independent problems, the use of a generalized low-rank approximation of matrices technique is proposed. The methods are illustrated and tested with Monte Carlo particle simulation data of plasma collisional relaxation and guiding-center transport with collisions in a magnetically confined plasma in toroidal geometry. It is observed that the proposed noise reduction methods achieve high levels of smoothness in the particle distribution function by using significantly fewer particles in the computations.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 940350
• Journal Information: Physics of Plasmas, Vol. 15, Issue 9; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PARTICLES
APPROXIMATIONS
DISTRIBUTION FUNCTIONS
PLASMA
RELAXATION
ROUGHNESS
COMPUTERIZED SIMULATION
TRANSPORT
TWO-DIMENSIONAL CALCULATIONS
THREE-DIMENSIONAL CALCULATIONS
NOISE
Monte Carlo methods
noise
plasma collision processes
plasma simulation
plasma toroidal confinement
plasma transport processes
singular value decomposition