Statistics – Computation
Scientific paper
Dec 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005agufmsh51d..07a&link_type=abstract
American Geophysical Union, Fall Meeting 2005, abstract #SH51D-07
Statistics
Computation
2149 Mhd Waves And Turbulence (2752, 6050, 7836), 4490 Turbulence (3379, 4568, 7863), 6050 Plasma And Mhd Instabilities (2149, 2752, 7836), 7836 Mhd Waves And Instabilities (2149, 2752, 6050)
Scientific paper
In many space, astrophysical and laboratory plasmas, the magnetic Reynolds number is large and the magnetohydrodynamic (MHD) approximation is valid. In these cases plasmas exhibit MHD turbulence. Numerical investigations of MHD turbulence presents a significant challenge. In the case of 2D compressible MHD turbulence numerical challenges include the presence of an inverse cascade in the vector potential, the suppression of turbulent activity by the chance alignment of the velocity and magnetic fields, the possible link between large and small scale dynamics by the Alfven effect as discussed by Iroshnikov and Kraichnan and, the lack of dynamo action. We compare and contrast different methods for the direct numerical simulation of 2D compressible MHD turbulence in the context of these properties. In particular we compare numerical experiments (driven with decaying), numerical schemes (high-order finite difference with Lagragian remap) and, the treatment of compressibility (the isothermal approximation with the solving of an equation of state). We also discuss the computational resources needed to perform these simulations.
Arber Tony
Chapman Sandra C.
Dendy R. O.
Merrifield J.
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