Abstract
We give a variational formulation of the standard MAC scheme for the approximation of the Navier-Stokes problem. This allows an extension of the MAC scheme to locally refined Cartesian meshes. A numerical example is presented, which shows an efficient computation of the solution of the Navier-Stokes problem for a general 2D or 3D domain, using locally refined meshes.
MSC2010: 65N08,76D05
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© 2011 Springer-Verlag Berlin Heidelberg
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Chénier, E., Eymard, R., Herbin, R. (2011). An Extension of the MAC Scheme to some Unstructured Meshes. In: Fořt, J., Fürst, J., Halama, J., Herbin, R., Hubert, F. (eds) Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Proceedings in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20671-9_27
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DOI: https://doi.org/10.1007/978-3-642-20671-9_27
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