基于浸入式边界法的振荡转子叶片数值模拟

doi:10.7527/S1000-6893.2013.0517

Abstract

Abstract:

The numerical simulation associated with fluid-structure interaction is very complicated for it requires repeated grid regeneration in the traditional method. In the present work, a fast explicit numerical method is established to solve the unsteady flow with oscillation of a rotor blade on the basis of an immersed boundary method. In order to validate the method, two simulation cases are carried out: an oscillating cylinder at low KC (Keulegan-Carpenter) number, and a two degrees of freedom oscillating cylinder, and the results agree well with previous research. Based on these benchmark cases, a numerical simulation for an oscillating airfoil is then established. It is found that the oscillation of rotor blades is influenced greatly by the reduced velocity and cascade solidity. It is worth noting that the coupling process is not necessary for generating any body-fitting grid, which makes it much faster to perform the computational process for such complicated fluid-structure interaction problems.

Key words: blade flutter, immersed boundary method, fluid-structure interaction, turbomachinery, aeroelastic stability

CLC Number:

V215.3

HU Guotun, DU Lin, SUN Xiaofeng. An Immersed Boundary Method for Simulating Oscillating Rotor Blades[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(8): 2112-2125.

References

[1] Ballhaus W F, Goorjina P M. Computation of unsteady transonic flows by the indicial method[J]. AIAA Journal, 1978, 16(2): 117-124.

[2] He L. An Euler solution for unsteady flows around oscillating blades[J]. Journal of Turbomachinery, 1990, 112(4): 714-722.

[3] He L, Denton J D. Three dimensional time-marching inviscid and viscous solutions for unsteady flows around vibrating blade[J]. Journal of Turbomachinery, 1994, 116(3): 469-476.

[4] Sadeghi M, Liu F. Computation of mistuning effects on cascade flutter[J]. AIAA Journal, 2001, 39(1): 22-28.

[5] Sadeghi M, Liu F. Computation of cascade flutter by uncoupled and coupled methods[J]. International Journal of Computational Fluid Dynamics, 2005, 19(8): 559-569.

[6] Sadeghi M, Yang S, Liu F, et al. Parallel computation of wing flutter with a coupled Navier-Stokes/CSD method, AIAA-2003-1347. Reston: AIAA, 2003.

[7] Sadeghi M, Liu F. Investigation of mistuning effects on cascade flutter using a coupled method[J]. Journal of Propulsion and Power, 2007, 23(2): 266-272.

[8] Kazawa J, Watanabe T. Numerical analysis toward active control of cascade flutter with smart structure, AIAA-2002-4079. Reston: AIAA, 2002.

[9] Gottfried D A. Simulation of fluid-structure interaction in turbomachinery. West Lafayette: Purdue University, 2000.

[10] Hu P G, Xue L P, Mao S L, et al. Material point method applied to fluid-structure interaction (FSI)/aeroelasticity problems, AIAA-2010-1464. Reston: AIAA, 2010.

[11] Hu P G. Material point method with least squares technique for nonlinear aeroelasticity and fluid-structure interactions (FSI) in ASTE-P toolset, AIAA-2010-8224. Reston: AIAA, 2010.

[12] Peskin C S. Flow patterns around heart values: a numerical method[J]. Journal of Computational Physics, 1972, 10(2): 252-271.

[13] Zhong G H, Sun X F. A simulation strategy for an oscillating cascade in the turbomachinery using immersed boundary method[J]. AIAA Journal of Propulsion and Power, 2009, 25(2): 312-321.

[14] Goldstein D, Handler R, Sirovich L. Modeling a no-slip flow with an external force field[J]. Journal of Computational Physics, 1993, 105(2): 354-366.

[15] Hu G T, Sun X F. A numerical modeling of the vortex-induced vibration of cascade in turbomachinery using immersed boundary method[J]. Journal of Thermal Science, 2011, 20: 229-237.

[16] Chima R V. Explicit multi-grid algorithm for quasi-three-dimensional viscous flows in turbomachinery[J]. Journal of Propulsion and Power, 1987, 3(5): 397-405.

[17] Armfield S, Street R. The fractional-step method for the Navier-Stokes equations on staggered grids: the accuracy of three variations[J]. Journal of Computational Physics, 1999, 153(2): 660-665.

[18] Dutsch H, Durst F, Becker S. Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers[J]. Journal of Fluid Mechanics, 1998, 360: 249-271.

[19] Singh S P, Mittal S. Vortex-induced oscillations at low Reynolds numbers: hysteresis and vortex-shedding modes[J]. Journal of Fluid and Structures, 2005, 20(8): 1085-1104.

[20] Piperno S. Explicit/implicit fluid/structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations[J]. International Journal for Numerical Methods in Fluids, 1997, 25(10): 1207-1226.

[21] Gnesin V I, Kolodyazhnaya L V, Rzadkowski R. A numerical modeling of stator-rotor interaction in a turbine stage with oscillating blades[J]. Journal of Fluids and Structures, 2004, 19 (8): 1141-1153.

[22] Denton J D. An improved time-marching method for turbomachinery flow calculation[J]. Journal for Engineering for Power, 1983, 105(3): 514-521.

An Immersed Boundary Method for Simulating Oscillating Rotor Blades

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	CHEN Hao, HUA Ruhao, YUAN Xianxu, TANG Zhigong, BI Lin. Simulation of flow around fly-wing configuration based on adaptive Cartesian grid [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(8): 125674-125674.
[2]	SUN Xiaofeng, DONG Xu, ZHANG Guangyu, WANG Zhuo, SUN Dakun. Progress review of application of eigenvalue theory to stability prediction [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(10): 527408-527408.
[3]	GUI Xingmin, JIN Donghai, ZHANG Jiancheng, SONG Manxiang, ZHAO Yang, HU Daquan. Flow mechanism of bowed and swept blades with consideration of circumferential fluctuation source term before blade leading edge [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(10): 527371-527371.
[4]	ZHANG Wanfu, WANG Yingfei, ZHANG Xiaobin, YANG Xingchen, LI Chun. Experimental identification for rotordynamic coefficients of labyrinth seal based on impedance method [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(1): 424719-424719.
[5]	DU Yinjie, SHU Chang, YANG Liming, WANG Yan, WU Jie. Wall model based diffuse-interface immersed boundary method and its application in turbulent flows [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(S1): 726361-726361.
[6]	LI Xu, ZHOU Zhou, XUE Chen. Feedback forcing immersed boundary method for iterative calculations [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(9): 123712-123712.
[7]	LIU Xiaoheng, ZHOU Chenghua, SONG Manxiang, JIN Donghai, GUI Xingmin. Overall simulation of a turbojet engine based on throughflow method [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(1): 123199-123199.
[8]	QIU Zihua, XU Min, ZHANG Bin, LIANG Chunlei. A parallel high-order method for simulating vortex-induced vibrations [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(3): 122483-122483.
[9]	YANG Shanglin, CHEN Xiaofeng, DU Faxi, LEI Zhongqi, YAO Xiaohu. Dynamic analysis of fluid-structure interaction on aircraft fuel tank sloshing during maneuver [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(3): 222471-222471.
[10]	TANG Zhigong, CHEN Hao, BI Lin, YUAN Xianxu. Numerical simulation of supersonic viscous flow based on adaptive Cartesian grid [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(5): 121697-121697.
[11]	ZHOU Yu, CHEN Silian, DU Farong, DING Shuiting. Automatic extraction algorithm of parameterized streamlines from a radial-inflow turbomachinery ruled blade [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(5): 420592-420592.
[12]	XU Kunbo, QIAO Weiyang, CHANG Xinyue, YIN Tao, HUO Shiyu. Fan broadband noise based on combined sensor array method [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(12): 121324-121324.
[13]	XU Kunbo, QIAO Weiyang, HUO Shiyu, CHENG Haoyi, TONG Fan. Experimental of fan broadband noise determination based on rotating axial arrays [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(11): 121132-121132.
[14]	XU Kunbo, QIAO Weiyang, WANG Liangfeng, TONG Fan. Experimental research of broadband sound power determination in axial fan [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(9): 2939-2946.
[15]	HU Guotun, DU Lin, SUN Xiaofeng. Numerical simulation of an oscillating cascade based on immersed boundary method [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(7): 2269-2278.