Exective summary

The Science of SCOPE

The SCOPE mission strategy

SCOPE in the Roadmap

SCOPE and the simulation studies

Link to Cross-Scale (ESA)

SCOPE and the simulation studies

Multi-scale and multi-physics simulations are essential for the SCOPE mission. Several advanced simulation techniques are being developed by young Japanese simulationists for future Peta-scale supercomputers.

Advanced Particle-In-Cell (PIC) simulations.

image largeimage small Multi-scale 3D PIC simulation of magnetic reconnection with the Adaptive Mesh Refinement (AMR) technique [Fujimoto and Machida, 2006; Fujimoto and Sydora, 2008]. The AMR techniques allows us to save computational resources over a static grid approach.
image largeimage small Multi-physics 2D simulaton of a quasi-parallel collisionless shock by interlocking of hybrid PIC and Hall-MHD models [Sugiyama and Kusano, 2007; 2008]. The ion-scale shock transition region is solved with the hybrid PIC model, while upstream and downstream regions are solved with the Hall-MHD model and the test-particle approach.
image largeimage small Multi-scale 2D full PIC simulation of a perpendicular collisionless shock with a shock-rest-frame model [Umeda and Yamazaki, 2006; Umeda et al., 2008, 2009b]. The shock-rest-frame model allows us to save computational resources over the upstream- or downstream-rest frame models. Electron-scale micro turblunence and ion-scale ripples are solved simultaneously.

High-resolution Magneto-Hydro-Dynamic (MHD) simulations

image largeimage small (a) Multi-scale 2D MHD simulation of a high-Reynolds-number magnetic reconnection with the HLLD Reimann solver [Miyoshi and Kusano, 2005, 2008], which shows an intermittent tearing instability. (b) 3D MHD simulation of Kelvin-Helmholtz instability with a CIP-based solver [Matsumoto and Seki, 2008], which shows secondly instability due to the 3D effect. These methods has much-higher resolution and more robust than conventional MHD solvers.

Vlasov simulations

image largeimage small image largeimage small Numerical techniques for Vlasov simulations are rapidly developing [e.g., Umeda, 2008; Umeda et al., 2009a], as seen in these demonstration of a 2D (2 spatial and 2 velocity dimensions) simulation of Kelvin-Helmholtz instability (left) and a 2.5D (2 spatial and 3 velocity dimensions) simulation of magnetic reconnection (right). An important advantage of Vlasov model over PIC model is that Vlasov model is free from numerically enhanced thermal flctuations and therefore we can set a grid spacing much longer than the Debye length. Another advantage of Vlasov model is easiness of massively parallel computing. Vlasov model would be an alternative approach for simulations of cross-scale coupling in the plasma universe on future supercomputers.