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Volume 9, Issue 2
Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations

X. He & C. Vuik

DOI: 10.4208/nmtma.2016.m1422

Numer. Math. Theor. Meth. Appl., 9 (2016), pp. 239-261.

Published online: 2016-09

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  • Abstract

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.

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@Article{NMTMA-9-239, author = {X. He and C. Vuik}, title = {Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2016}, volume = {9}, number = {2}, pages = {239--261}, abstract = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2016.m1422}, url = {http://global-sci.org/intro/article_detail/nmtma/12376.html} }
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.

X. He and C. Vuik. (2016). Comparison of Some Preconditioners for the Incompressible Navier-Stokes Equations. Numerical Mathematics: Theory, Methods and Applications. 9 (2). 239-261. doi:10.4208/nmtma.2016.m1422
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