New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
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Publication:5018368
DOI10.1090/MCOM/3651zbMATH Open1479.35625arXiv2002.09090OpenAlexW3141019747MaRDI QIDQ5018368
Author name not available (Why is that?)
Publication date: 16 December 2021
Published in: (Search for Journal in Brave)
Abstract: We construct new first- and second-order pressure correction schemes using the scalar auxiliary variable (SAV) approach for the Navier-Stokes equations. These schemes are linear, decoupled and only require a sequence of solving Poisson type equations at each time step. Furthermore, they are unconditionally energy stable. We also establish rigorous error estimates for the velocity and pressure approximation of the first-order scheme without any condition on the time step.
Full work available at URL: https://arxiv.org/abs/2002.09090
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