Advanced Methods for Space Simulations, edited by H. Usui and Y. Omura, pp. 101–109. c © TERRAPUB, Tokyo, 2007. Numerical Methods Used in the Lyon-Fedder-Mobarry Global Code to Model the Magnetosphere

We discuss the numerics used in the Lyon-Fedder-Mobarry (LFM) gloabl magne-tospheric MHD code. The major defining elements of the LFM are a Total Varia-tion Diminishing (TVD) algorithm incorporating high order spatial differencing, the maintenance of ∇ · B = 0 through the use of a Yee grid, accommodation to the large β variations within the magnetosphere, a grid adapted to the problem, and an integral ionospheric model.