We present a parallel fully coupled multi-level incomplete factorization preconditioner for the 3D stationary incompressible Navier-Stokes equations on a structured grid. The algorithm and software are based on the robust two-level method developed in [1]. In this paper, we identify some of the weak spots of the two-level scheme and propose remedies such as a different domain partitioning and recursive application of the method. We apply the method to the wellknown 3D lid-driven cavity benchmark problem, and demonstrate its superior robustness by comparing with a segregated SIMPLE-type preconditioner.

中文翻译：

---

用于稳定不可压缩流的交错网格多级 ILU

我们为结构化网格上的 3D 固定不可压缩 Navier-Stokes 方程提出了一个并行全耦合多级不完全分解预处理器。该算法和软件基于 [1] 中开发的稳健的两级方法。在本文中，我们确定了两级方案的一些弱点，并提出了补救措施，例如不同的域划分和该方法的递归应用。我们将该方法应用于众所周知的 3D 盖驱动腔基准问题，并通过与隔离的 SIMPLE 型预处理器进行比较来证明其优越的鲁棒性。