Notes on Eulerian Magnetohydrodynamics

Abstract

A brief description of the MHD equations used in the eulerian AMR code BABBO is presented. The description of the MHD equations has been presented many times in the literature so only a very brief description is given in this report. Of particular importance is the description of the calculation of the plasma load impedance and inductance, which is much less frequently described in the literature and is presented in section 6. In addition, along with an accurate calculation of the plasma load impedance and induction, the circuit calculation used to introduce the external current drive is of particular importance and is presented in section 7. In section 8 a procedure is presented to calculate the current drive of a Marx bank by reverse engineering a machine voltage source, which can then be used to drive varying plasma loads.