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Abstract

In the present paper, a hybrid RANS/LES model with the wall-modelled LES capability (called WM-HRL model) is developed to perform the high-fidelity CFD simulation investigation for complex flow phenomena around a bluff body with coherent structure in subcritical Reynolds number region. The proposed method can achieve a fast and seamless transition from RANS to LES through a filter parameter r _kwhich is only related to the space resolution capability of the local grid system for various turbulent scales. Furthermore, the boundary positions of the transition region from RANS to LES, as well as the resolving capabilities for the turbulent kinetic energy in the three regions, i.e. RANS, LES and transition region, can be preset by two guide index parameters nr _k1-Qand nr _k2-Q. Through a series of numerical simulations of the flow around a circular cylinder at Reynolds number Re= 3900, the combination conditions are obtained for such two guide index parameters nr _k1-Qand nr _k2-Qthat have the capability of high-fidelity resolving and capturing temporally- and spatially-developing coherent structures for such complex three-dimensional flows around such a circular cylinder. The results demonstrate that the new WM-HRL model is capable of accurately resolving and capturing the fine spectral structures of the small-scale Kelvin-Helmholtz instability in the shear layer for flow around such a circular cylinder. Furthermore, under a consistent grid system, through different combinations of these two guide index parameters r _k1and r _k2, the fine structuresof the recirculation zones with two different lengths and the U-shaped and V-shaped distribution of the average stream-wise velocity in the cylinder near the wake can also be obtained.

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Authors and contacts

Corresponding author:You Yun-Xiang,youyx@sjtu.edu.cn

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Cited By

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	$ L_3/D $	$ \varDelta_3/D $	网格量 ($ \times {10^6}$)
Lehmkuhl等^[10](DNS)	$ {\text{π}} $	$ {\text{π}} $/128	9.30
Tremblay^[8](LES)	$ {\text{π}} $	$ {\text{π}} $/64	7.70
Breuer^[15](LES)	$ {\text{π}} $	$ {\text{π}} $/64	1.70
Pereira等^[2](PANS)	3.0	$ {\text{π}} $/48	4.55
Luo等^[24] (PANS/SST-DES)	$ {\text{π}} $	$ {\text{π}} $/60	2.23
D'Alessandro等^[30] (SA-DES/SA-IDDES/ v²-f DES)	$ {\text{π}} $	$ {\text{π}} $/48	3.96
本文(WM-HRL)	$ {\text{π }} $	$ {\text{π }} $/64	1.43

DownLoad: CSV

参考文献及方法	$ {\bar f_{{\text{vs}}}} $	${\bar f_{{\text{kh}}}}$	$ {\phi _{\text{s}}}/({\, ^ \circ }) $	$L_{\text{r}}/D $	$C_{\rm d} $	$ - {C_{{\text{pb}}}} $	形状
Parnaudeau等^[18](Exp.)	0.208	—	88	1.51	—	—	U
Lourenco和Shih^[27](Exp.)	—	—	85	1.18	0.98	0.9	V
Lehmkuhl等^[10](DNS) (Mode H)	0.214	1.34	88.25	1.26	1.043	0.98	V
Lehmkuhl等^[10](DNS) (Mode L)	0.218	—	87.8	1.55	0.979	0.877	U
Tremblay^[8](LES)	0.21	—	87.3	1.04	1.14	0.99	V
Breuer^[15](LES)	0.215	—	87.4	1.372	1.016	0.941	V
Pereira等^[2](PANS) ($ {f_{\text{k}}} $ = 0.25)	0.208	1.48	80.3	1.73	0.927	0.864	U
Pereira等^[2](PANS) ($ {f_{\text{k}}} $ = 0.5)	0.214	1.55	81.8	1.12	1.036	1.050	V
Luo等^[24](PANS) ($ {f_{\text{k}}} $ = 0.1)	0.201	—	87.2	1.27	1.05	0.94	V
Luo等^[24](PANS) ($ {f_{\text{k}}} $ = 0.5)	0.208	—	92.8	0.49	1.35	1.47	V
Luo等^[24](SST-DES)	0.203	—	86.4	1.46	1.01	0.89	V
D'Alessandro等^[30](SA-DES)	0.215	—	89.28	0.850	1.2025	1.077	V
D'Alessandro等^[30](SA-IDDES)	0.222	—	87.0	1.427	1.0235	0.878	U
D'Alessandro等^[30](v²-f DES)	0.214	—	86.4	1.678	0.9857	0.829	U

DownLoad: CSV

监测点编号	监测点坐标 $(x_1 /D, x_2/D)$	监测点对应的$ {y^ + } $值
P1	(0.20, 0.560)	30.5
P2	(0.30, 0.572)	47.1
P3	(0.40, 0.584)	67.0
P4	(0.50, 0.595)	89.4
P5	(0.60, 0.607)	114.0
P6	(0.70, 0.619)	140.1
P7	(0.80, 0.631)	167.4
P8	(0.90, 0.643)	195.5
P9	(1.00, 0.655)	224.3
P10	(1.10, 0.666)	253.5
P11	(1.20, 0.678)	283.3
P12	(1.30, 0.690)	313.5
P13	(0.71, 0.660)	151.4
P14	(0.69, 0.520)	117.4
P15	(2.00, 0.590)	511.4
P16	(1.00, 0.0)	161.3
P17	(2.00, 0.0)	483.9
P18	(3.00, 0.0)	806.5

DownLoad: CSV

$ {\varGamma _{{\text{RANS}}}} $		$ {\varGamma _{{\text{LES}}}} $		$ {\bar f_{{\text{vs}}}} $	${\bar f_{{\text{kh}}}}$	$ {\phi _{\text{s}}}/({\,^\circ }) $	$ {{{L_{\text{r}}}} \mathord{\left/ {\vphantom {{{L_{\text{r}}}} D}} \right. } D} $	$ {C_{\text{d}}} $	$ - {C_{{\text{pb}}}} $	形状
$ {r_{{\text{k1}}}} $	$ y_{{\text{RANS}}}^ + $	$ {r_{{\text{k2}}}} $	$ y_{{\text{LES}}}^{+} $	$ {\bar f_{{\text{vs}}}} $	${\bar f_{{\text{kh}}}}$	$ {\phi _{\text{s}}}/({\,^\circ }) $		$ {C_{\text{d}}} $	$ - {C_{{\text{pb}}}} $	形状
0.9302	7.9	0.1556	105.8	0.219	1.38	88.1	1.05	1.14	1.12	V
0.6364	13.3			0.221	1.23	88.1	1.07	1.14	1.09	V
0.5951	14.9			0.221	1.35	87.7	1.19	1.12	1.04	V
0.4923	18.4			0.222	1.30	88.1	1.03	1.15	1.08	V
0.4635	20.4			0.222	1.18	87.8	1.22	1.12	1.03	V
0.3898	27.1			0.223	1.23	87.0	1.32	1.12	0.99	U
0.3134	38.4			0.224	1.16	86.6	1.48	1.10	0.96	U
0.2973	41.7			0.220	1.21	87.1	1.32	1.10	1.00	U
0.2546	49.2			0.223	1.00	88.0	1.14	1.13	1.06	V
0.1983	72.7			0.221	1.06	88.1	1.01	1.15	1.12	V
0.1713	91.2			0.226	1.21	86.6	1.46	1.10	0.96	U
0.9302	7.9	0.1484	113.9	0.218	1.13	88.0	1.12	1.14	1.06	V
0.6364	13.3			0.221	1.17	88.4	1.00	1.16	1.13	V
0.5951	14.9			0.220	1.30	87.8	1.18	1.12	1.04	V
0.4923	18.4			0.224	1.23	87.1	1.32	1.15	1.00	V
0.4635	20.4			0.224	1.26	86.5	1.48	1.09	0.97	U
0.3898	27.1			0.224	1.01	87.2	1.22	1.12	1.00	V
0.3134	38.4			0.224	1.11	86.5	1.47	1.08	0.95	U
0.2973	41.7			0.218	1.16	86.5	1.47	1.10	0.96	U
0.2546	49.2			0.222	1.00	87.7	1.23	1.12	1.04	V
0.1983	72.7			0.225	1.14	87.8	1.23	1.14	1.03	V
0.1713	91.2			0.225	0.99	87.8	1.22	1.12	1.03	V

DownLoad: CSV

$ {\varGamma _{{\text{RANS}}}} $		$ {\varGamma _{{\text{LES}}}} $		$ {\bar f_{{\text{vs}}}} $	${\bar f_{{\text{kh}}}}$	$ {\phi _{\text{s}}}/({\, ^ \circ }) $	$ L_{\text{r}}/D $	$ {C_{\text{d}}} $	$ - {C_{{\text{pb}}}} $	形状
$ {r_{{\text{k1}}}} $	$ y_{{\text{RANS}}}^ + $	$ {r_{{\text{k2}}}} $	$ y_{{\text{LES}}}^{+} $	$ {\bar f_{{\text{vs}}}} $	${\bar f_{{\text{kh}}}}$	$ {\phi _{\text{s}}}/({\, ^ \circ }) $	$ L_{\text{r}}/D $	$ {C_{\text{d}}} $	$ - {C_{{\text{pb}}}} $	形状
0.9302	7.9	0.2546	49.2	0.220	1.50	87.8	1.20	1.13	1.05	V
0.6364	13.3			0.224	1.51	87.3	1.26	1.12	1.02	V
0.5951	14.9			0.221	1.4	86.7	1.45	1.13	0.98	U
0.4923	18.4			0.224	1.34	87.7	1.18	1.11	1.06	V
0.4635	20.4			0.223	1.43	87.0	1.36	1.11	0.99	U
0.3898	27.1			0.220	1.40	87.7	1.22	1.16	1.04	V
0.3134	38.4			0.222	1.20	87.3	1.26	1.10	1.01	V
0.2973	41.7			0.226	1.13	86.4	1.49	1.08	0.96	U
0.9302	7.9	0.1983	72.7	0.222	1.26	87.2	1.25	1.13	1.02	V
0.6364	13.3			0.223	1.07	86.6	1.44	1.10	0.97	U
0.5951	14.9			0.221	1.39	86.8	1.36	1.11	0.98	U
0.4923	18.4			0.222	1.34	88.1	1.07	1.17	1.10	V
0.4635	20.4			0.22	1.41	88.0	1.16	1.14	1.06	V
0.3898	27.1			0.224	1.34	87.1	1.36	1.11	1.00	U
0.3134	38.4			0.224	1.17	87.8	1.23	1.11	1.03	V
0.2973	41.7			0.224	1.07	86.5	1.50	1.09	0.95	U
0.2546	49.2			0.224	1.13	87.0	1.34	1.11	0.99	U
0.9302	7.9	0.1713	84.6	0.22	1.52	86.5	1.50	1.09	0.97	U
0.6364	13.3			0.221	1.12	86.9	1.25	1.11	0.99	V
0.5951	14.9			0.223	1.45	87.1	1.26	1.12	1.00	V
0.4923	18.4			0.22	1.34	87.5	1.17	1.17	1.04	V
0.4635	20.4			0.22	1.32	87.9	1.16	1.14	1.06	V
0.3898	27.1			0.224	1.33	86.9	1.41	1.11	0.98	U
0.3134	38.4			0.222	1.15	87.0	1.32	1.11	1.00	U
0.2973	41.7			0.223	1.15	87.8	1.16	1.14	1.05	V
0.2546	49.2			0.223	1.27	87.2	1.35	1.13	1.00	U
0.1983	72.7			0.222	1.22	87.8	1.16	1.14	1.05	V

DownLoad: CSV

$ {\varGamma _{{\text{RANS}}}} $		$ {\varGamma _{{\text{LES}}}} $		$ {\bar f_{{\text{vs}}}} $	${\bar f_{{\text{kh}}}}$	$ {\phi _{\text{s}}}/({\, ^ \circ }) $	$ {{{L_{\text{r}}}} \mathord{\left/ {\vphantom {{{L_{\text{r}}}} D}} \right. } D} $	$ {C_{\text{d}}} $	$ - {C_{{\text{pb}}}} $	形状
$ {r_{{\text{k1}}}} $	$ y_{{\text{RANS}}}^ + $	$ {r_{{\text{k2}}}} $	$ y_{{\text{LES}}}^{+} $	$ {\bar f_{{\text{vs}}}} $	${\bar f_{{\text{kh}}}}$	$ {\phi _{\text{s}}}/({\, ^ \circ }) $		$ {C_{\text{d}}} $	$ - {C_{{\text{pb}}}} $	形状
0.9302	7.9	0.7333	10.4	0.222	1.48	87.9	1.13	1.12	1.06	V
0.9302	7.9	0.6364	13.3	0.225	1.44	87.6	1.19	1.12	1.02	V
0.7333	10.4	0.6364	13.3	0.217	1.45	87.9	1.15	1.13	1.05	V
0.9302	7.9	0.5235	18.4	0.223	1.32	87.3	1.29	1.14	1.01	V
0.7333	10.4			0.221	1.37	86.9	1.37	1.08	0.99	U
0.5951	14.9			0.225	1.45	87.0	1.39	1.08	0.99	U
0.9302	7.9	0.4635	20.4	0.221	1.44	87.0	1.37	1.12	1.00	U
0.7333	10.4			0.219	1.34	87.6	1.16	1.13	1.03	V
0.5951	14.9			0.224	1.44	87.5	1.25	1.12	1.02	V
0.5235	18.4			0.224	1.47	86.4	1.46	1.12	0.96	U
0.9302	7.9	0.3687	29.6	0.224	1.48	87.4	1.27	1.13	1.02	V
0.5951	14.9			0.224	1.48	87.7	1.24	1.03	1.14	V
0.4635	20.4			0.218	1.40	88.0	1.08	1.08	1.15	V
0.3898	27.1			0.221	1.40	87.1	1.36	1.12	1.00	U

DownLoad: CSV

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