We present maDG, a newly developed code designed for the efficient parallel implicit solution of the 3D unstructured nodal discontinuous Galerkin discretization of the unsteady compressible Navier-Stokes equations. The code is being developed to provide an efficient, modular, and maintainable software platform for studying algorithmic and modeling issues arising in high-resolution CFD. In this paper we address some issues pertinent to the software architecture and testing implementation used towards the goal of implicit time integration of discontinuous Galerkin (DG) approximations.

This effort is largely inspired by the life work of Antony Jameson and by his legendary FLO codes, which for more than four decades have provided a unique platform for the development of CFD methods, and enabled path-breaking advances in aerodynamics. We dedicate this paper to Antony on the occasion of his 85th birthday, with the utmost gratitude for his teaching and his friendship.

我们提出了maDG，这是一种新开发的代码，设计用于对不稳定的可压缩 Navier-Stokes 方程进行 3D 非结构化节点不连续 Galerkin 离散化的高效并行隐式解。正在开发该代码，以提供一个高效、模块化和可维护的软件平台，用于研究高分辨率 CFD 中出现的算法和建模问题。在本文中，我们解决了一些与软件架构和测试实现相关的问题，这些问题用于实现不连续伽辽金 (DG) 近似的隐式时间积分的目标。

这项工作很大程度上受到了安东尼詹姆森一生工作和他传奇的 FLO 代码的启发，四十年来，这些代码为 CFD 方法的开发提供了一个独特的平台，并推动了空气动力学的突破性进展。在安东尼 85 岁生日之际，我们将这篇论文献给他，对他的教导和友谊深表感谢。