Numerical study of the Yosida method applied to viscous incompressible internal flows with open boundary conditions
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.
|Journal series||Archives of Mechanics, [Archiwum Mechaniki Stosowanej], ISSN 0373-2029|
|Score|| = 25.0, 10-01-2020, ArticleFromJournal|
= 25.0, 10-01-2020, ArticleFromJournal
|Publication indicators||= 0; = 0; = 1.0; : 2016 = 1.069; : 2016 = 1.157 (2) - 2016=1.061 (5)|
|Citation count*||1 (2020-08-18)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.