• Corpus ID: 244908761

Longer time simulation of the unsteady Navier-Stokes equations based on a modified convective formulation

@article{Li2021LongerTS,
  title={Longer time simulation of the unsteady Navier-Stokes equations based on a modified convective formulation},
  author={Xu Li and Hongxing Rui},
  journal={ArXiv},
  year={2021},
  volume={abs/2112.02330}
}
For the discretization of the convective term in the Navier-Stokes equations (NSEs), the commonly used convective formulation (CONV) does not preserve the energy if the divergence constraint is only weakly enforced. In this paper, we apply the skew-symmetrization technique in [B. Cockburn, G. Kanschat and D. Schötzau, Math. Comp., 74 (2005), pp. 1067-1095] to conforming finite element methods, which restores energy conservation for CONV. The crucial idea is to replace the discrete advective… 

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