We have proposed an approach to exactly maintain the eight conservation laws and the divergence-free condition in numerical simulations for supersonic magnetohydrodynamical flows. In this paper, we extend our algorithm from the two-dimensional to the three-dimensional situation. The algorithm is second order accurate in space and time, and no Poisson solver is involved to maintain the divergence-free condition. The algorithm has been implemented in a massively parallel multiprocessor environment.
Bibliographical noteFunding Information:
The work presented here was supported by the Department of Energy through grants DE-FG02-87ER25035 and DE-FG02-94ER25207, by the National Science Foundation through grant ASC-9309829, by NASA through grant USRA/555-23/NASA, and by the University of Minnesota through its Minnesota Supercomputer Institute.