Numerical study of the Yosida method applied to viscous incompressible internal flows with open boundary conditions

Jacek Szumbarski

Abstract

The Yosida methods for incompressible viscous flows are investigated numerically in the aspect of local and global errors of volume conservation. Unsteady Stokes and Navier-Stokes flows past an obstacle inserted into 2D channel are used as the test cases. Open boundary conditions are imposed at the channel's inlet and outlet. The results obtained by the Yosida-based Spectral Element Method (SEM) solvers are compared to the results obtained by the SEM solver using exact factorization of the Uzawa system. Analysis of parametric variation of the velocity divergence and the flow rate errors is presented. It is concluded that switching to higher-order Uzawa methods reduces substantially volume conservation errors and removes numerical artifacts observed at the channel's inlet when the basic Yosida method is used.

Author Jacek Szumbarski (FPAE / IAAM)
Jacek Szumbarski,,
- The Institute of Aeronautics and Applied Mechanics
Journal seriesArchives of Mechanics, [Archiwum Mechaniki Stosowanej], ISSN 0373-2029
Issue year2016
Vol68
Pages133-160
ASJC Classification2210 Mechanical Engineering; 3104 Condensed Matter Physics
Languageen angielski
Score (nominal)25
Score sourcejournalList
ScoreMinisterial score = 25.0, 10-01-2020, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 10-01-2020, ArticleFromJournal
Publication indicators Scopus Citations = 0; WoS Citations = 0; GS Citations = 1.0; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 1.069; WoS Impact Factor: 2016 = 1.157 (2) - 2016=1.061 (5)
Citation count*1 (2020-08-18)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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