Research Article

Simulation of Vortex Shedding behind a Flat Plate with Vorticity Based Adaptive Spectral Element Method

Table 1

The comparison of results from adaptive nonconforming and conforming methods.

MethodsConformingVorticity (deviation) and (deviation) (deviation)

St.Re = 1000.24340.2454 (0.78%)0.2424 (0.41%)0.2570 (5.59%)
Re = 1400.28700.2910 (1.08%)0.2742 (4.96%)0.2712 (5.51%)
Re = 2000.32220.3194 (0.8%)0.3125 (1.37%)0.3086 (4.22%)

CdRe = 1000.29150.2907 (0.275%)0.2814 (3.589%)0.3144 (7.86%)
Re = 1400.33890.3417 (0.82%)0.3227 (5.02%)0.3323 (1.95%)
Re = 2000.40720.4095 (0.56%)0.3745 (8.73%)0.3394 (16.65%)

ClRe = 1000.21390.2192 (2.417%)0.2289 (7.01%)0.2432 (2.48%)
Re = 1400.34170.3432 (0.437%)0.3268 (4.36%)0.3144 (7.98%)
Re = 2000.48420.4989 (2.946%)0.4351 (10.14%)0.3595 (25.75%)

Notes:
Conforming: Conforming mesh ().
Vorticity: Vorticity error based method ().
and : Synthesis of velocity and pressure error based method.
: estimated error decay rate () based method which the error decay rate is lower than 0.8.
Deviation: The comparison of the results of the adaptive meshes method and those of the conforming meshes.
St.: Strouhal number.