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- W4289776617 abstract "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/Groebner bases. In order to prove strong consistency of the generated scheme we correlate the differential ideal generated by the polynomials in the Stokes equations with the difference ideal generated by the polynomials in the constructed difference scheme. Additionally, we compute the modified differential system of the obtained scheme and analyze the scheme's accuracy and strong consistency by considering this system. An evaluation of our scheme against the established marker-and-cell method is carried out." @default.
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- W4289776617 date "2018-07-01" @default.
- W4289776617 modified "2023-09-27" @default.
- W4289776617 title "A Strongly Consistent Finite Difference Scheme for Steady Stokes Flow and its Modified Equations" @default.
- W4289776617 doi "https://doi.org/10.48550/arxiv.1807.00328" @default.
- W4289776617 hasPublicationYear "2018" @default.
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