The history and present state of large-scale magnetohydrodynamic modeling of the solar corona and the solar wind with steady or quasi-steady coronal physics is reviewed. We put the evolution of ideas leading to the recognition of the existence of an expanding solar atmosphere into historical context. The development and main features of the first generation of global corona and solar wind models are described in detail. This historical perspective is also applied to the present suite of global corona and solar wind models. We discuss the evolution of new ideas and their implementation into numerical simulation codes. We point out the scientific and computational challenges facing these models and discuss the ways various groups tried to overcome these challenges. Next, we discuss the latest, state-of-the art models and point to the expected next steps in modeling the corona and the interplanetary medium.

中文翻译：

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稳定日冕和太阳风的扩展 MHD 建模

回顾了利用稳态或准稳态日冕物理对日冕和太阳风进行大规模磁流体动力学建模的历史和现状。我们将导致认识到太阳大气层扩张的存在的思想演变纳入历史背景。详细介绍了第一代全球日冕和太阳风模型的发展和主要特点。这种历史视角也适用于目前的全球日冕和太阳风模型。我们讨论新想法的演变及其在数值模拟代码中的实现。我们指出这些模型面临的科学和计算挑战，并讨论各个团体试图克服这些挑战的方法。接下来，我们讨论最新的、最先进的模型，并指出日冕和行星际介质建模中预期的后续步骤。