An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows

Date

2015-01-01

Author

Belenli, Mine A.
Kaya Merdan, Songül
Rebholz, Leo G.

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We propose, analyze and test a fully decoupled, but still unconditionally stable and optimally accurate, variational multiscale stabilization (VMS) for incompressible, non-isothermal fluid flows. The VMS stabilization is implemented as a post-processing step, and thus can be used with existing codes. A full numerical analysis of the method is given that proves unconditional stability with respect to the timestep size, and that the method converges optimally in both time and space. Numerical tests are provided that confirm the theoretical results, and test the method on a benchmark problem for Marsigli flow.

Subject Keywords

Applied Mathematics, Numerical Analysis, Computational Mathematics

URI

https://hdl.handle.net/11511/36771

Journal

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS

DOI

https://doi.org/10.1515/cmam-2014-0026

Collections

Department of Mathematics, Article

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Citation Formats

M. A. Belenli, S. Kaya Merdan, and L. G. Rebholz, “An Explicitly Decoupled Variational Multiscale Method for Incompressible, Non-Isothermal Flows,” COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, pp. 1–20, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36771.