一种结合壁面模型模拟湍流流动的间断界面浸入边界法

doi:10.7527/S1000-6893.2022.27673

Abstract

Abstract:

A robust sharp-interface immersed boundary method is proposed to simulate the incompressible turbulence flow over a solid obstacle. Based on the OpenFOAM， the solver combines the implicit split operator algorithm with the $k ⁃ ω$ Shear Stress Transfer turbulence model to solve the velocity⁃pressure coupling in Navier⁃Stokes equations and the turbulent flow near the obstacle surface. The wall model is used to reduce the number of girds near the wall. The wall shear stress is obtained from the mirror point away from the wall， and the flow variables at image points are obtained using the surrounding flow field by Inverse Distance Weight （IDW）. To validate the efficiency and accuracy of this method for simulation of incompressible turbulence flow， five turbulent flow cases are considered as follows： flow over a flat plate， flow pass a NACA0012 airfoil， Buice 2D diffuser， flow around a circular cylinder， and flow around a square cylinder. The simulation results show good agreement with literature， validating the efficiency and accuracy of the method proposed.

Key words: immersed boundary method, wall model, sharp interface, turbulence flow, OpenFOAM

CLC Number:

V211.3

Shizhao ZHANG, Jie WU, Dewu YANG, Xinyu CONG. A sharp-interface immersed boundary method combined with wall model to simulate turbulent flow[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(11): 127673-127673.

Figures/Tables 20

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Fig.13

Table 1

C¯D， C¯L， CL,rms and St for flow around cylinder at Re=63 100，126 000

Re	方法	$C ¯ D$	$C ¯ L$	$C L, r m s$	St
63 100	当前结果	1.280 0	0.000 5	0.870 0	0.220 0
	Ye和Wan^［28］	1.115 7	0.005 3	0.828 5	0.238 5
	Yeon等^［29］	1.370 0	0.004 0	0.600 0	0.200 0
	Nguyen等^［30］	1.560 0	0.022 0	0.728 3	0.221 0
126 000	当前结果	1.105	0.003 0	0.735 0	0.246 0
	Ye和 Wan^［28］	1.010	0.006 0	0.791 0	0.240 0
	Yeon等^［29］	1.370	-0.045 0	0.620 0	0.200 0
	Schewe等^［31］	1.200		0.259 0	0.196 0

Table 1

Fig.14

Fig.15

Fig.16

Fig.17

Table 2

C¯D， CL,rms and St for flow around square cylinder

Re	方法	$C ¯ D$	$C L, r m s$	St
22 000	当前结果	2.160	1.520	0.138
	Trias等^［32］	2.180	1.710	0.132
	Sohankar等^［33］	2.270	1.460	0.132
	Nguyen等^［30］	2.100		0.130

Table 2

Fig.18

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A sharp-interface immersed boundary method combined with wall model to simulate turbulent flow

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