Corpus ID: 211020969

A note on the accuracy of the generalized-α scheme for the incompressible Navier-Stokes equations

@article{Liu2020ANO,
  title={A note on the accuracy of the generalized-α scheme for the incompressible Navier-Stokes equations},
  author={Ju Liu and Ingrid S. Lan and Oguz Z. Tikenogullari and Alison L. Marsden},
  journal={ArXiv},
  year={2020},
  volume={abs/2002.01098}
}
  • Ju Liu, Ingrid S. Lan, +1 author Alison L. Marsden
  • Published in ArXiv 2020
  • Mathematics, Computer Science
  • We investigate the temporal accuracy of two generalized-$\alpha$ schemes for the incompressible Navier-Stokes equations. The conventional approach treats the pressure with the backward Euler method while discretizing the remainder of the Navier-Stokes equations with the generalized-$\alpha$ method. We developed a suite of numerical codes using inf-sup stable higher-order non-uniform rational B-spline (NURBS) elements for spatial discretization. In doing so, we are able to achieve very high… CONTINUE READING

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