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.

翻译：本文详细介绍了用于解决压缩的纳维埃-斯托克斯方程式的有限要素技术的实施情况,该方程式非常可靠,并展示了现代计算机硬件的出色性能。该方法在时间和空间上是第二阶级的准确性。此处的强性意味着该方法被证明是无差异的域,在双曲 CFL 时间步骤限制下被保存,该方法可以产生可复制的结果。 所拟议的技术在挑战 2D 和 3D 现实基准上是准确的。