TY - JOUR T1 - Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations AU - X. He & C. Vuik JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 239 EP - 261 PY - 2016 DA - 2016/09 SN - 9 DO - http://doi.org/10.4208/nmtma.2016.m1422 UR - https://global-sci.org/intro/article_detail/nmtma/12376.html KW - AB -
In this paper we explore the performance of the SIMPLER, augmented Lagrangian, 'grad-div' preconditioners and their new variants for the two-by-two block systems arising in the incompressible Navier-Stokes equations. The lid-driven cavity and flow over a finite flat plate are chosen as the benchmark problems. For each problem the Reynolds number varies from a low to the limiting number for a laminar flow.