On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier–Stokes equations
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier–Stokes equations
复制标题
针对可压缩纳维斯托克斯方程实现鲁棒且高效的基于有限元的并行求解器
DOI：
10.1016/j.cma.2021.114250
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发表时间：
2022
影响因子：
7.2
通讯作者：
Tomas, Ignacio
中科院分区：
文献类型：
--
作者：
Guermond, Jean-Luc;Kronbichler, Martin;Maier, Matthias;Popov, Bojan;Tomas, Ignacio
本文详细介绍了求解可压缩Navier-Stokes方程的有限元技术的实现，该技术在现代计算机硬件上具有良好的鲁棒性和性能。该方法在时间和空间上具有二阶精度。鲁棒性意味着该方法在双曲CFL时间步长限制下是不变保域的，并且该方法提供的结果是可重复的。所提出的技术被证明是准确的具有挑战性的2D和3D现实基准。
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.