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Time evolution of an isentropic stationary vortex

Comparisons of density profile across the vortex center at time = 50 (different schemes and meshes)
"C" scheme
SCNIS
ECNIS
Comparisons of density profile across the vortex center at time = 100 (different schemes and meshes)
"C" scheme
SCNIS
ECNIS
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

Initial conditions of a convecting vortex
Comparisons of density profile across the vortex center at time = 50 (different schemes and meshes)
"C" scheme
SCNIS
ECNIS
Comparisons of density profile across the vortex center at time = 100 (different schemes and meshes)
"C" scheme
SCNIS
ECNIS
Comparisons of density contours at time = 100 (different schemes and meshes)
Structured mesh
"C" scheme
SCNIS
ECNIS
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
"C" scheme
SCNIS
ECNIS

Laminar flow over a square cylinder (Re = 200)

Comparisons of instantaneous vorticity contours (baseline grid)
Vorticity contours for SCNIS and ECNIS with quad mesh
Vorticity contours for SCNIS and ECNIS with triangular mesh
SCNIS
ECNIS
(Experimental Strouhal no.: 0.135 ~ 0.15)
Comparisons of Strouhal no. using different schemes and meshes

Laminar flow over a splitter (Re = 200)

Comparisons of instantaneous vorticity contours (baseline grid)
Vorticity contours for SCNIS and ECNIS with quad mesh
Vorticity contours for SCNIS and ECNIS with triangular mesh
SCNIS
ECNIS
(Experimental Strouhal no.: 0.161 ~ 0.177)
Comparisons of Strouhal no. using different schemes and meshes
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)

Description of different mesh topologies
Comparisons of x-velocity for different grid densities (SCNIS)
Quad mesh
Triangular mesh
Comparisons of y-velocity for different grid densities (SCNIS)
Quad mesh
Triangular mesh
Comparisons of x-velocity for different schemes (base grid)
SCNIS
ECNIS
Comparisons of y-velocity for different schemes (base grid)
SCNIS
ECNIS
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.
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