National Institutes of Natural Science, National Institute for Fusion Science
Department of Helical Plasma Research, Fundamental Physics Simulation Research Division

Novel Simulation Models

Macro Projective Integration Method for Multiscale Plasmas

Multiscale problems are difficult to simulate due to interconnected physics of micro- and macro-scales which defies direct brute force numerical computations. A potential of a novel simulation framework in plasmas, Macro Projective Integration (called, Equation-free) method is being investigated. Based on a micro-physics simulator (kinetic, e.g. PIC), the macro-scale dynamics is determined by repeatedly extrapolating forward macro vari-ables obtained from short bursts of micro simulations. Different schemes for reconstruc-tion and mapping between high-dimensional (micro) and low-dimensional (macro) phase space, using: moment representation, cumula-tive distributions, wavelets, etc., are analyzed. Starting with proof-of-principle studies of simple one-dimensional nonlinear plasma paradigms, it is expected to eventually move to more realistic multiscale fusion plasma models

Reference
ISHIGURO Seiji and SKORIC Milos, M., "Equation-Free Coarse Grained Projective Integration Method for Multi-Scale Plasma Simulation", J. Plasma Fusion Res. Vol.85, No.9 (2009) pp593-596.

A. M. Maluckov, S. Ishiguro, and M. M. Skoric, "A Macro Projective IntegrationMethod in 2D Microscopic System Applied to Nonlinear Ion Acoustic Waves in a Plasma," COMMUNICATIONS IN COMPUTATIONAL PHYSICS Vol. 4, No. 3, pp. 556-574, 2008.

Milos M. SKORIC, Aleksandra MALUCKOV and Seiji ISHIGURO, "Primal Macro-Projective Integration Method for Multi-Scale Plasma Simulation", Plasma and Fusion Research, Volume 3, 021(2008).

Milos M. SKORIC, Aleksandra MALUCKOV and Seiji ISHIGURO; Erratum: “Primal Macro-Projective Integration Method for Multi-Scale Plasma Simulation” [Plasma Fusion Res. 3, 021 (2008)], Plasma and Fusion Research: Errata Volume 4, 056 (2009)


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