Historical perspective on astrophysical MHD simulations
Michael L. Norman

TL;DR
This paper reviews the historical development of numerical MHD methods in astrophysics, emphasizing recent advances like higher-order algorithms and adaptive mesh refinement that enhance our understanding of magnetic fields in star formation.
Contribution
It provides a personal historical perspective on MHD simulation methods and highlights recent technological improvements in the field.
Findings
Advances in MHD algorithms improve simulation accuracy.
Adaptive mesh refinement enhances modeling of star formation.
Historical overview contextualizes current computational techniques.
Abstract
This contribution contains the introductory remarks that I presented at IAU Symposium 270 on ``Computational Star Formation" held in Barcelona, Spain, May 31 -- June 4, 2010. I discuss the historical development of numerical MHD methods in astrophysics from a personal perspective. The recent advent of robust, higher order-accurate MHD algorithms and adaptive mesh refinement numerical simulations promises to greatly improve our understanding of the role of magnetic fields in star formation.
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