Abstract
We recall the extension of the Marker and Cell (MAC) scheme for locally refined grids which was introduced in Chénier et al. (Calcolo 52(1), 69–107 (2015), [3]) and present the results obtained on the lid driven cavity test.
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References
Bruneau, C.H., Saad, M.: The 2d lid-driven cavity problem revisited. Comput. Fluids 35, 326–348 (2006)
CALIF\(^3\)S. A software components library for the computation of reactive turbulent flows. https://gforge.irsn.fr/gf/project/isis
Chénier, E., Eymard, R., Gallouët, T., Herbin, R.: An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier-Stokes equations. Calcolo 52(1), 69–107 (2015). doi:10.1007/s10092-014-0108-x
Chénier, R., Eymard, R., Herbin, R.: An extension of the MAC scheme to some unstructured meshes. Finite Volumes for Complex Applications VI, vol. 1, pp. 253–261. Springer, London (2011). Finite Volumes for Complex Applications VI (FVCA VI). Prague, Czech Republic, June 2011
Gallouët, T., Herbin, R., Latché, J.C., Mallem, K.: Convergence of the MAC scheme for the incompressible Navier-Stokes equations. Found Comput. Math. (2016). https://hal.archives-ouvertes.fr/hal-01189014
Harlow, F., Welch, J.: Numerical calculation of time-dependent viscous incompressible flow of fluid with a free surface. Phys. Fluids 8, 2182–2189 (1965)
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Chénier, E., Eymard, R., Herbin, R. (2017). Results with a Locally Refined MAC-Like Scheme—Benchmark Session. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects . FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 199. Springer, Cham. https://doi.org/10.1007/978-3-319-57397-7_9
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DOI: https://doi.org/10.1007/978-3-319-57397-7_9
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