Time evolution of an isentropic stationary vortex
Comparisons of density profile across the vortex center at time = 50 (different schemes and meshes)
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"C" scheme
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SCNIS
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ECNIS
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Comparisons of density profile across the vortex center at time = 100 (different schemes and meshes)
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"C" scheme
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SCNIS
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ECNIS
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Ref.: Yee, H.C., Sandham, N.D., and Djomehri, M.J., “Low-dissipative High-order Shock-capturing Methods Using Characteristic-based Filters,” Journal of Computational Physics, Vol. 150, 1999, pp. 199-238.
Convection of an isentropic vortex
Comparisons of density profile across the vortex center at time = 50 (different schemes and meshes)
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"C" scheme
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SCNIS
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ECNIS
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Comparisons of density profile across the vortex center at time = 100 (different schemes and meshes)
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"C" scheme
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SCNIS
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ECNIS
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Comparisons of density contours at time = 100 (different schemes and meshes)
Structured mesh
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"C" scheme
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SCNIS
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ECNIS
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Unstructured mesh
Ref.: Yee, H.C., Sandham, N.D., and Djomehri, M.J., “Low-dissipative High-order Shock-capturing Methods Using Characteristic-based Filters,” Journal of Computational Physics, Vol. 150, 1999, pp. 199-238.
Laminar flow over a flat plate
Comparisons of streamwise velocity profile (different schemes and meshes), Re = 1000
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"C" scheme
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SCNIS
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ECNIS
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Laminar flow over a square cylinder (Re = 200)
Comparisons of instantaneous vorticity contours (baseline grid)
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SCNIS
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ECNIS
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(Experimental Strouhal no.: 0.135 ~ 0.15)
Laminar flow over a splitter (Re = 200)
Comparisons of instantaneous vorticity contours (baseline grid)
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SCNIS
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ECNIS
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(Experimental Strouhal no.: 0.161 ~ 0.177)
Ref.: Eisenlohr, H., and Eckelmann, H., “Observations in the Laminar Wake of a Thin Flat Plate with a Blunt Trailing Edge,” Proceedings, Conference on Experimental Heat Transfer, Fluid Mechanics, and Thermodynamics, R. Shah et al., eds. Elsevier Ltd., London, 1988, pp. 264-268.
Driven cavity flow (Re = 400)
Comparisons of x-velocity for different grid densities (SCNIS)
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Quad mesh
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Triangular mesh
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Comparisons of y-velocity for different grid densities (SCNIS)
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Quad mesh
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Triangular mesh
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Comparisons of x-velocity for different schemes (base grid)
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SCNIS
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ECNIS
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Comparisons of y-velocity for different schemes (base grid)
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SCNIS
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ECNIS
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Ref.: Ghia, U., Ghia, K. N., and Shin, C. T., “High – Re Solutions for Incompressible Flow using the Navier-Stokes Equations and a Multigrid Method,” Journal of Computational Physics, Vol. 48, 1982, pp. 387-411.
