A Strongly Consistent Finite Difference Scheme for Steady Stokes Flow and its Modified Equations

@article{Blinkov2018ASC,
  title={A Strongly Consistent Finite Difference Scheme for Steady Stokes Flow and its Modified Equations},
  author={Y. Blinkov and V. Gerdt and D. Lyakhov and D. Michels},
  journal={ArXiv},
  year={2018},
  volume={abs/1807.00328}
}
We construct and analyze a strongly consistent second-order finite difference scheme for the steady two-dimensional Stokes flow. The pressure Poisson equation is explicitly incorporated into the scheme. Our approach suggested by the first two authors is based on a combination of the finite volume method, difference elimination, and numerical integration. We make use of the techniques of the differential and difference Janet/Grobner bases. In order to prove strong consistency of the generated… Expand

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