Large Eddy Simulation of magnetohydrodynamic turbulence at high magnetic Reynolds numbers with GSMAC-FEM using Dynamic SGS model

Abstract

In this study, we formulated the Dynamic SGS model for Large Eddy Simulation in MHD turbulence at high magnetic Reynolds number using the GSMAC (Generalized Simplified Marker and Cell Method)-FEM. The FEM scheme was verified through the isotropic MHD turbulence. In most cases, the MHD turbulence was analized with the Spectral method using spectral cut off filter. So, few reference data for the MHD turbulence exist using Gaussian filter. In this study, we constructed the reference data in case of using the Gaussian filter and the data was used for the verification of the LES scheme based on the GSMAC-FEM. Through the verification, we examine the validity of the numerical scheme based on the GSMAC-FEM for MHD turbulence at high magnetic Reynolds number.