Novel Simulation Models
Macro Projective Integration Method for Multiscale Plasmas
Multiscale problems are difficult to simulate due to interconnected physics of micro and macroscales which defies direct brute force numerical computations. A potential of a novel simulation framework in plasmas, Macro Projective Integration (called, Equationfree) method is being investigated. Based on a microphysics simulator (kinetic, e.g. PIC), the macroscale dynamics is determined by repeatedly extrapolating forward macro variables obtained from short bursts of micro simulations. Different schemes for reconstruction and mapping between highdimensional (micro) and lowdimensional (macro) phase space, using: moment representation, cumulative distributions, wavelets, etc., are analyzed. Starting with proofofprinciple studies of simple onedimensional nonlinear plasma paradigms, it is expected to eventually move to more realistic multiscale fusion plasma models
Reference
ISHIGURO Seiji and SKORIC Milos, M., "EquationFree Coarse Grained
Projective Integration Method for MultiScale Plasma Simulation",
J. Plasma Fusion Res. Vol.85, No.9 (2009) pp593596.
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. 556574, 2008.
Milos M. SKORIC, Aleksandra MALUCKOV and Seiji ISHIGURO, "Primal MacroProjective Integration Method for MultiScale Plasma Simulation", Plasma and Fusion Research, Volume 3, 021(2008).
Milos M. SKORIC, Aleksandra MALUCKOV and Seiji ISHIGURO; Erratum: “Primal MacroProjective Integration Method for MultiScale Plasma Simulation” [Plasma Fusion Res. 3, 021 (2008)], Plasma and Fusion Research: Errata Volume 4, 056 (2009)
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