A second-order ensemble method based on a blended backward differentiation formula timestepping scheme for time-dependent Navier-Stokes equations
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Publication:2957431
DOI10.1002/NUM.22070zbMATH Open1469.76074arXiv2104.06589OpenAlexW2409648791MaRDI QIDQ2957431
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Publication date: 26 January 2017
Published in: (Search for Journal in Brave)
Abstract: We present a second-order ensemble method based on a blended three-step backward differentiation formula (BDF) timestepping scheme to compute an ensemble of Navier-Stokes equations. Compared with the only existing second-order ensemble method that combines the two-step BDF timestepping scheme and a special explicit second-order Adams-Bashforth treatment of the advection term, this method is more accurate with nominal increase in computational cost. We give comprehensive stability and error analysis for the method. Numerical examples are also provided to verify theoretical results and demonstrate the improved accuracy of the method.
Full work available at URL: https://arxiv.org/abs/2104.06589
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