Subgrid Stabilized Defect Correction Methods for the Navier–Stokes Equations

Date

2006-1

Author

Kaya Merdan, Songül
Rivière, Béatrice

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We consider the synthesis of a recent subgrid stabilization method with defect correction methods. The combination is particularly efficient and combines the best algorithmic features of each. We prove convergence of the method for a fixed number of corrections as the mesh size goes to zero and derive parameter scalings from the analysis. We also present some numerical tests which both verify the theoretical predictions and illustrate the method's promise

Subject Keywords

Eddy viscosity, Variational multiscale method, High Reynolds numbers, Correction steps

URI

https://hdl.handle.net/11511/28211

Journal

SIAM Journal on Numerical Analysis

DOI

https://doi.org/10.1137/050623942

Collections

Department of Mathematics, Article

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Citation Formats

S. Kaya Merdan and B. Rivière, “Subgrid Stabilized Defect Correction Methods for the Navier–Stokes Equations,” SIAM Journal on Numerical Analysis, pp. 1639–1654, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28211.