An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows

Date

2020-10-01

Author

Demir, Medine

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This report extends the mathematical support of a subgrid artificial viscosity (SAV) method to simulate the incompressible Navier-Stokes equations to better performing a linearly extrapolated BDF2 (BDF2LE) time discretization. The method considers the viscous term as a combination of the vorticity and the grad-div stabilization term. SAV method introduces global stabilization by adding a term, then anti-diffuses through the extra mixed variables. We present a detailed analysis of conservation laws, including both energy and helicity balance of the method. We also show that the approximate solutions of the method are unconditionally stable and optimally convergent. Several numerical tests are presented for validating the support of the derived theoretical results. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.

Subject Keywords

Applied Mathematics, Numerical Analysis, Computational Mathematics

URI

https://hdl.handle.net/11511/38867

Journal

APPLIED NUMERICAL MATHEMATICS

DOI

https://doi.org/10.1016/j.apnum.2020.04.010

Collections

Department of Mathematics, Article

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Citation Formats

M. Demir, “An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows,” APPLIED NUMERICAL MATHEMATICS, pp. 140–157, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38867.