Unsteady RANS Modeling of Flow around Two-Dimensional Rectangular Cylinders with Different Side Ratios at Reynolds Number 6.85 × 10⁵

Table 1

Comparison of integral parameters with different models.

Case		y0/h (×10^−3)	Re (×10^4)	Cd	Relative deviation (%)	Clrms	Relative deviation (%)	St	Relative deviation (%)
Standard k-ε	M1G1	0.5	68.5	1.67	20.5	0.02	98.3	0.129	2.3
	M1G2	1.0		1.69	19.5	0.31	73.5	0.138	4.5
	M1G3	1.5		1.67	20.5	0.29	75.2	0.085	35.6
	M1G4	2.0		1.67	20.5	0.30	74.4	0.114	13.6
RNG k-ε	M2G1	0.5		2.35	11.9	2.53	116.2	0.090	31.8
	M2G2	1.0		2.32	10.5	1.65	41.0	0.090	31.8
	M2G3	1.5		2.33	11.0	1.70	45.3	0.099	25.0
	M2G4	2.0		2.35	11.9	1.65	41.0	0.120	9.1
Realizable k-ε	M3G1	0.5		2.16	2.9	1.24	6.0	0.096	27.3
	M3G2	1.0		2.2	4.8	1.28	9.4	0.142	7.6
	M3G3	1.5		2.13	1.4	1.23	5.1	0.100	24.2
	M3G4	2.0		2.10	1.0	1.14	2.6	0.111	15.9
EXP(Norberg [10])			1.3	2.16	2.8^R	—	—	0.132	15.9^R
EXP (Lyn et al. [1])			2.14	2.1	—	—	—	0.132	—
LES (Sohankar [4])			2.2	2.32	9.5^R	1.54	26.0^R	0.132	15.9^R
TL-K1 k-ε (Rodi [34])			2.2	2.0	5.0^R	1.17	—	0.143	22.4^R
Modified k-ε (shimada and Ishihara [15])			2.2	2.05	2.4^R	1.43	20.3^R	0.141	21.3^R
SST k-ω (Tian et al. [16])			2.14	2.06	1.9^R	1.49	23.5^R	0.138	19.6^R

Values with in bold were the reference values for relative deviation calculation and values with superscript ^R represent the relative deviation between M3G4 and the corresponding reference literature.