Multi-grid methods for stokes and navier-stokes equations |
| |
Authors: | G Wittum |
| |
Institution: | (1) Sonderforschungsbereich 123, Universität Heidelberg, Im Neuenheimer Feld 294, D-6900 Heidelberg, Federal Republic of Germany |
| |
Abstract: | Summary In the present paper we introduce transforming iterations, an approach to construct smoothers for indefinite systems. This turns out to be a convenient tool to classify several well-known smoothing iterations for Stokes and Navier-Stokes equations and to predict their convergence behaviour, epecially in the case of high Reynolds-numbers. Using this approach, we are able to construct a new smoother for the Navier-Stokes equations, based on incomplete LU-decompositions, yielding a highly effective and robust multi-grid method. Besides some qualitative theoretical convergence results, we give large numerical comparisons and tests for the Stokes as well as for the Navier-Stokes equations. For a general convergence theory we refer to 29].This work was supported in part by Deutsche Forschungsgemeinschaft |
| |
Keywords: | AMS(MOS):65N20 CR:G1 8 |
本文献已被 SpringerLink 等数据库收录! |
|