紊流积分尺度对CAARC模型迎风面极值风压特性的影响及修正方法

张海程; 杜树碧; 李明水; 杨阳

doi:10.6052/j.issn.1000-4750.2022.01.0092

紊流积分尺度对CAARC模型迎风面极值风压特性的影响及修正方法

张海程^1,,
杜树碧^{1, 2, ,},
李明水^{1, 2,},
杨阳^{1, 2,}

1.
西南交通大学土木工程学院，成都 610031
2.
西南交通大学风工程四川省重点实验室，成都 610031

详细信息

作者简介:
张海程(1997−)，男，山西临汾人，博士生，主要从事结构风工程研究(E-mail: zhc18392637364@126.com)

李明水(1966−)，男，河南新乡人，教授，博士，博导，主要从事桥梁与结构风工程研究(E-mail: lms_rcwe@swjtu.edu.cn)

杨　阳(1987−)，男，湖南长沙人，讲师，博士，主要从事桥梁与结构风工程研究(E-mail: yang_yacad@163.com)

通讯作者:
杜树碧(1986−)，女，四川成都人，讲师，博士，主要从事桥梁与结构风工程研究(E-mail: dus_rcwe@swjtu.edu.cn)

中图分类号: TU973+.213
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出版历程
- 收稿日期: 2022-01-18
- 修回日期: 2022-08-09
- 网络出版日期: 2022-11-14
- 刊出日期: 2023-10-09

THE EFFECT OF THE TURBULENCE INTEGRAL SCALE ON THE EXTREME WIND PRESSURES ON THE WINDWARD SURFACE OF THE CAARC MODEL AND THE CORRECTION METHOD

ZHANG Hai-cheng^1,,
DU Shu-bi^{1, 2, ,},
LI Ming-shui^{1, 2,},
YANG Yang^{1, 2,}

1.
School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China
2.
Key Laboratory for Wind Engineering of Sichuan Province, Southwest Jiaotong University, Chengdu 610031, China

摘要

摘要: 大气边界层流场中紊流度剖面可以正确模拟，但紊流积分尺度很难精确模拟，对于CAARC (commonwealth advisory aeronautical research council)标准高层建筑模型在大气边界层B类场地，实际紊流积分尺度为高层建筑采用常用缩尺比在常规风洞中的1.4倍~2.7倍。该文通过风洞试验在大气边界层B类场地中采用5种不同缩尺比工况，其中一种工况接近于工程实际，通过其余四种工况与这种工况对比，定量地研究了紊流积分尺度对CAARC模型迎风面极值风压特性的影响。结果表明，极值风压系数随紊流积分尺度的增大而增大，极值风压系数误差随模拟紊流积分尺度误差的增大而增大，当实际紊流积分尺度为模拟积分尺度的3.25倍时，实际极值风压系数为模拟极值风压系数的1.55倍，误差率高达35%，且迎风面越靠近驻点的测点，受紊流积分尺度的这种影响越显著；为了更深入理解紊流积分尺度的影响，利用脉动风压功率谱分析了极值风压受紊流积分尺度的影响机理；最后根据紊流积分尺度对极值风压系数的影响，提出了迎风面极值风压系数的修正公式。该试验采用的紊流积分尺度涵盖高层建筑常用缩尺比在常规风洞中紊流积分尺度模拟的所有误差范围，同时以CAARC标准高层建筑模型为试验对象，可以为所有风洞试验结果提供修正依据，同时可以推广到其他钝体。
- 紊流积分尺度 /
- 极值风压 /
- 模拟误差 /
- 修正方法 /
- 风洞试验
Abstract: The turbulence profile in the atmospheric boundary can be correctly simulated, but the turbulence integration scale is difficult to accurately simulate. For the CAARC (commonwealth advisory aeronautical research council) standard high-rise building model, the actual turbulence integration scale is 1.4 to 2.7 times that of the common integral scale used in high-rise buildings in conventional wind tunnels. In this paper, five different turbulent integration scales of atmospheric boundary layer wind fields of Category B were considered. One of them was close to the actual flow field, and the effect of the turbulent integration scale on the extreme wind pressure characteristics on the windward of the CAARC model was quantitatively studied by comparing the remaining four flow fields with this flow field. The results show that the extreme wind pressure coefficient increases with the increase of the turbulence integral scale, and the error of the extreme wind pressure coefficient increases with the increase of the error of the simulated turbulence integral scale. When the actual turbulence integral scale is 3.25 times the simulated integral scale, the actual extreme wind pressure coefficient is 1.55 times the extreme wind pressure coefficient in simulated integral scale, and the error rate is as high as 35%. And the closer the stagnation point, the more significant the effect of the turbulence integral scale. To better understand the effect of the turbulence integral scale, the mechanism of the effect of the turbulence integration scale on the extreme wind pressure was analysed through the power spectrum of the fluctuating pressure. Finally, the correction formula of extreme wind pressure coefficient on windward was proposed according to the effect of turbulent integral scale on the extreme wind pressure coefficient. The turbulence integral scale used in this test covers all the error ranges simulated by the turbulence integral scale commonly used in high-rise buildings in conventional wind tunnels, and the standard high-rise building model can provide a correction basis for all wind tunnel experimental results and can be generalized to other blunt bodies.
- turbulence integral scale /
- extreme wind pressure /
- simulation error /
- correction method /
- wind tunnel test

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图 1 模型尺寸与测压孔编号　/m

Figure 1. Size of the model and the tap number

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图 2 平均风速与紊流度剖面

Figure 2. Mean speed and turbulence intensity profile

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图 3 脉动风速功率谱

Figure 3. Wind speed power spectra

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图 4 平均风压系数

Figure 4. Mean pressure coefficients

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图 5 脉动风压系数

Figure 5. RMS pressure coefficients

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图 6 脉动风压偏度与峰度

Figure 6. Skewness and kurtosis of fluctuating pressures

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图 7 峰值因子

Figure 7. Peak factor

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图 8 脉动风压功率谱

Figure 8. Power spectrum of the fluctuating pressures

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图 9 极值风压系数

Figure 9. Extreme wind pressure coefficients

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图 10 极值风压系数修正公式

Figure 10. Correction formula of extreme wind pressure coefficient

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表 1 工况参数

Table 1 Parameters of cases

工况	$L_{\rm u}^x$	$L_{\rm u}^x/D$		阻塞比/(%)	$\dfrac{({L}_{\rm u}^{x}/D{)}^{\rm O}}{({L}_{\rm u}^{x}/D{)}^{\rm T}}$
工况	$L_{\rm u}^x$	宽面	窄面	宽面
XNJD32	0.831	3.64	5.45	0.21	1.00
XNJD15	0.299	3.27	4.90	1.74	1.13
XNJD31	1.328	2.90	4.36	0.83	1.26
XNJD13	0.321	2.11	3.16	2.91	1.73
XNJD12	0.255	1.12	1.67	4.36	3.25
注： $L_{\rm u}^x$ 为顺风向紊流积分尺度；D为迎风面宽度； $({L}_{\rm u}^{x}/D)^{\rm O}$ 与 ${({L}_{\rm u}^{x}/D{)}^{\rm T}}$ 分别为目标工况和试验工况的紊流积分尺度与迎风面宽度之比。

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表 2 极值风压系数误差

Table 2 Error of extreme pressure coefficients

工况	$\dfrac{{({L}_{\rm u}^{x}/D)}^{\rm O}}{({L}_{\rm u}^{x}/D{)}^{\rm T}}$	宽面迎风D/B=1.50			窄面迎风D/B=0.67
		$C_{{\rm peak}}^{\rm O}/C_{{\rm peak}}^{\rm T}$			$C_{{\rm peak}}^{\rm O}/C_{{\rm peak}}^{\rm T}$
		1号	2号	3号	6号	7号	8号
XNJD12	3.25	1.51	1.50	1.49	1.57	1.56	1.57
XNJD13	1.73	1.39	1.38	1.38	1.46	1.46	1.46
XNJD31	1.26	1.26	1.26	1.27	1.28	1.28	1.27
XNJD15	1.13	1.10	1.13	1.13	1.11	1.11	1.12

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表 3 误差对比

Table 3 Comparison of error

工况	$({L}_{\rm u}^{x}/D)^{\rm O}/({L}_{\rm u}^{x}/D)^{\rm T}$	宽面迎风 $D/B = 1.50$						窄面迎风 $D/B = 0.67$
		$({C}_{{\rm peak}}^{\rm O}/{C}_{{peak}}^{\rm T})_{\rm O}$			$({C}_{{\rm peak}}^{\rm O}/{C}_{{\rm peak}}^{\rm T})_{\rm R}$			$({C}_{{\rm peak}}^{\rm O}/{C}_{{\rm peak}}^{\rm T})_{\rm O}$			$({C}_{{\rm peak}}^{\rm O}/{C}_{{\rm peak}}^{\rm T})_{\rm R}$
		1号	2号	3号	1号	2号	3号	6号	7号	8号	6号	7号	8号
XNJD12	3.25	1.51	1.50	1.49	0.99	1.01	1.01	1.57	1.56	1.57	0.99	0.99	1.00
XNJD13	1.73	1.39	1.38	1.38	1.00	1.02	1.03	1.46	1.46	1.46	0.99	1.00	0.99
XNJD31	1.26	1.26	1.26	1.27	1.00	1.00	1.00	1.28	1.28	1.27	1.00	1.00	1.00
XNJD15	1.13	1.10	1.13	1.13	1.01	1.00	1.00	1.11	1.11	1.12	1.01	1.00	1.01

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紊流积分尺度对CAARC模型迎风面极值风压特性的影响及修正方法

通讯作者: 杜树碧(1986−)，女，四川成都人，讲师，博士，主要从事桥梁与结构风工程研究(E-mail: dus_rcwe@swjtu.edu.cn)

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出版历程

THE EFFECT OF THE TURBULENCE INTEGRAL SCALE ON THE EXTREME WIND PRESSURES ON THE WINDWARD SURFACE OF THE CAARC MODEL AND THE CORRECTION METHOD

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目录

通讯作者:
杜树碧(1986−)，女，四川成都人，讲师，博士，主要从事桥梁与结构风工程研究(E-mail: dus_rcwe@swjtu.edu.cn)