On the extrapolated VMS-POD method for incompressible flows

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On the extrapolated VMS-POD method for incompressible flows

Fatma G. Eroglu1, Songul Kaya2

1Department of Mathematics, Faculty of Science, Bartın University, 74110, Bartın, Turkey.

2Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey.

DOI:

https://doi.org/10.7494/cmms.2019.2.0634

Abstract:

In this study, proper orthogonal decomposition based reduced-order modelling and variational multiscale stabilization method are utilized for the incompressible Navier-Stokes equations. Also, the difficulties resulting from nonlinearity are eliminated by using the extrapolation. Theoretical analysis of the method is presented. To check the efficiency of the proposed method, we utilize the test problem of 2D channel flow past a cylinder.

Cite as:

Eroglu, F. G., & Kaya, S. (Year). On the extrapolated VMS-POD method for incompressible flows. Computer Methods in Materials Science, 19(2), 70-77. https://doi.org/10.7494/cmms.2019.2.0634

Article (PDF):

Keywords:

Proper orthogonal decomposition, Extrapolated Crank-Nicholson, Reduced-order modelling, Projection-based variational multiscale, Finite Element Method

References:

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