Numerical analysis of a bdf2 modular grad-div Stabilization method for the Navier-Stokes equations

2018/06/28 by Rong, Y., Fiordilino, J. A. · 1 citation
#65M12 #65M60 #76D05 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1806.10750

Abstract

A second-order accurate modular algorithm is presented for a standard BDF2 code for the Navier-Stokes equations (NSE). The algorithm exhibits resistance to solver breakdown and increased computational efficiency for increasing values of grad-div parameters. We provide a complete theoretical analysis of the algorithms stability and convergency. Computational tests are performed and illustrate the theory and advantages over monolithic grad-div stabilizations.

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• Higher Accuracy Modular Data Assimilation for the Navier-Stokes Equations

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