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
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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