A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows

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2017-10-01

Author

Eroglu, Fatma G.
Kaya Merdan, Songül
Rebholz, Leo G.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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In this paper, we propose, analyze and test a post-processing implementation of a projection-based variational multiscale (VMS) method with proper orthogonal decomposition (POD) for the incompressible Navier-Stokes equations. The projection-based VMS stabilization is added as a separate post-processing step to the standard POD approximation, and since the stabilization step is completely decoupled, the method can easily be incorporated into existing codes, and stabilization parameters can be tuned independent from the time evolution step. We present a theoretical analysis of the method, and give results for several numerical tests on benchmark problems which both illustrate the theory and show the proposed method's effectiveness.

Subject Keywords

Mechanical Engineering, General Physics and Astronomy, Mechanics of Materials, Computational Mechanics, Computer Science Applications

URI

https://hdl.handle.net/11511/46927

Journal

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

DOI

https://doi.org/10.1016/j.cma.2017.07.017

Collections

Department of Mathematics, Article

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Citation Formats

F. G. Eroglu, S. Kaya Merdan, and L. G. Rebholz, “A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows,” COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, pp. 350–368, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46927.