This paper describes in detail the implementation of a finite element technique for solving the compressible Navier–Stokes equations that is provably robust and demonstrates excellent performance on modern computer hardware. The method is second-order accurate in time and space. Robustness here means that the method is proved to be invariant domain preserving under the hyperbolic CFL time step restriction, and the method delivers results that are reproducible. The proposed technique is shown to be accurate on challenging 2D and 3D realistic benchmarks.

中文翻译：

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关于可压缩 Navier-Stokes 方程的稳健有效的基于有限元的并行求解器的实现

本文详细描述了用于求解可压缩 Navier-Stokes 方程的有限元技术的实现，该技术可证明是稳健的，并在现代计算机硬件上展示了出色的性能。该方法在时间和空间上都是二阶精确的。这里的稳健性意味着该方法被证明在双曲线 CFL 时间步长限制下保持不变域，并且该方法提供可重复的结果。所提出的技术在具有挑战性的 2D 和 3D 现实基准上被证明是准确的。