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An unstructured staggered scheme for the Navier—Stokes equations

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Numerical Mathematics and Advanced Applications

Summary

A novel scheme for viscous incompressible flows on unstructured grids is introduced. A staggered positioning of the variables is used: the pressure is located in the centroids of the triangles while the normal velocity components are placed at the midpoints of the faces of the triangles. The pressure-correction approach is employed to deal with the divergence-freedom constraint of the velocity. Spatial discretization is discussed. For the lid-driven cavity problem, good results are obtained.

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References

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© 2003 Springer-Verlag Italia

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Wenneker, I., Segal, G., Wesseling, P. (2003). An unstructured staggered scheme for the Navier—Stokes equations. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds) Numerical Mathematics and Advanced Applications. Springer, Milano. https://doi.org/10.1007/978-88-470-2089-4_18

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  • DOI: https://doi.org/10.1007/978-88-470-2089-4_18

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-2167-9

  • Online ISBN: 978-88-470-2089-4

  • eBook Packages: Springer Book Archive

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