Temporal evolution of the volume integrated energy plots of a) the change in magnetic energy and b) the kinetic energy for Case 1 and c) the change in magnetic energy and d) the kinetic energy for Case 4. The magnetic energy at time t = 0 is 175.52 for Case 1 and 174.52 for Case 4. The black curves show the energy profiles as in Fig. 4, while the red curves show the energy profiles on the left-hand side of the domain and the blue curves for the left-hand side.