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.

我们介绍了maDG，这是一种新开发的代码，用于为非稳态可压缩Navier-Stokes方程的3D非结构化节点不连续Galerkin离散化提供有效的并行隐式解决方案。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，以研究高分辨率CFD中出现的算法和建模问题。在本文中，我们解决了与不连续Galerkin（DG）近似值的隐式时间积分目标有关的软件体系结构和测试实现方面的一些问题。

这项工作很大程度上受到安东尼·詹姆森（Antony Jameson）的一生和他传奇的FLO代码的启发，在过去的40多年中，这些代码为CFD方法的开发提供了独特的平台，并在空气动力学方面取得了突破性的进步。在安东尼85岁生日之际，我们将这份论文献给他，对他的教学和友谊深表谢意。