扩散界面浸入边界法结合壁面模型在湍流模拟中的应用

doi:10.7527/S1000-6893.2021.26361

Abstract

Abstract: A diffuse-interface Immersed Boundary Method (IBM) for simulating high Reynolds number turbulent flows is proposed. This method uses the wall model to reduce the number of grids near the wall. To implement the wall model and boundary conditions, two auxiliary layers (a series of Lagrangian points) are set outside the wall: the outer reference layer carries out the wall model to calculate the wall shear stress, and the inner enforced layer implements boundary conditions off the wall. When the wall model is implemented, the momentum equation is integrated along the normal direction of the wall, such that the tangential velocity correction is related to the wall shear stress obtained by the wall model, and the normal component of the velocity is approximately reconstructed according to the parabolic distribution. Furthermore, when implementing boundary conditions, we adopt the implicit velocity correction-based IBM to satisfy the non-penetration condition. Finally, the feasibility of this method is verified by numerical simulation of the turbulent flows around the flat plate and the NACA0012 airfoil.

Key words: immersed boundary method, wall model, diffuse-interface, turbulent flow, incompressible flow

CLC Number:

V211.3

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.

References

[1] PESKIN C S. Numerical analysis of blood flow in the heart[J]. Journal of Computational Physics, 1977, 25(3): 220-252.
[2] CABOT W, MOIN P. Approximate wall boundary conditions in the large-eddy simulation of high Reynolds number flow[J]. Flow, Turbulence and Combustion, 1999, 63(1): 269-291.
[3] SHU C, LIU N, CHEW Y T. A novel immersed boundary velocity correction-lattice Boltzmann method and its application to simulate flow past a circular cylinder[J]. Journal of Computational Physics, 2007, 226(2): 1607-1622.
[4] WU J, SHU C. Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications[J]. Journal of Computational Physics, 2009, 228(6): 1963-1979.
[5] SPALDING D B. A single formula for the "law of the wall"[J]. Journal of Applied Mechanics, 1961, 28(3): 455-458.
[6] WANG M, MOIN P. Dynamic wall modeling for large-eddy simulation of complex turbulent flows[J]. Physics of Fluids, 2002, 14(7): 2043-2051.
[7] TESSICINI F, IACCARINO G, FATICA M, et al. Wall modeling for large-eddy simulation using an immersed boundary method[R].Center for Turbulence Research, 2002.
[8] KALITZIN G, IACCARINO G. Toward immersed boundary simulation of high reynolds number flows[R].Center for Turbulence Research, 2003.
[9] CRISTALLO A, VERZICCO R. Combined immersed boundary/large-eddy-simulations of incompressible three dimensional complex flows[J]. Flow, Turbulence and Combustion, 2006, 77(1-4): 3-26.
[10] LEE J D, RUFFIN S. Development of a turbulent wall-function based viscous Cartesian-grid methodology[C]//45th AIAA Aerospace Sciences Meeting and Exhibit. Reston: AIAA, 2007.
[11] CAPIZZANO F. Turbulent wall model for immersed boundary methods[J]. AIAA Journal, 2011, 49(11): 2367-2381.
[12] CAPIZZANO F. Coupling a wall diffusion model with an immersed boundary technique[J]. AIAA Journal, 2016, 54(2): 728-734.
[13] JI C, MUNJIZA A, WILLIAMS J J R. A novel iterative direct-forcing immersed boundary method and its finite volume applications[J]. Journal of Computational Physics, 2012, 231(4): 1797-1821.
[14] CHANG P H, LIAO C C, HSU H W, et al. Simulations of laminar and turbulent flows over periodic hills with immersed boundary method[J]. Computers & Fluids, 2014, 92: 233-243.
[15] ZHOU C H. RANS simulation of high-Re turbulent flows using an immersed boundary method in conjunction with wall modeling[J]. Computers & Fluids, 2017, 143: 73-89.
[16] PU T M, ZHOU C H. An immersed boundary/wall modeling method for RANS simulation of compressible turbulent flows[J]. International Journal for Numerical Methods in Fluids, 2018, 87(5): 217-238.
[17] MITTAL R, IACCARINO G. Immersed boundary methods[J]. Annual Review of Fluid Mechanics, 2005, 37(1): 239-261.
[18] SHI B J, YANG X L, JIN G D, et al. Wall-modeling for large-eddy simulation of flows around an axisymmetric body using the diffuse-interface immersed boundary method[J]. Applied Mathematics and Mechanics, 2019, 40(3): 305-320.
[19] WANG Y, SHU C, YANG L M. Boundary condition-enforced immersed boundary-lattice Boltzmann flux solver for thermal flows with Neumann boundary conditions[J]. Journal of Computational Physics, 2016, 306: 237-252.
[20] KALITZIN G, MEDIC G, IACCARINO G, et al. Near-wall behavior of RANS turbulence models and implications for wall functions[J]. Journal of Computational Physics, 2005, 204(1): 265-291.
[21] MENTER F R. Two-equation eddy-viscosity turbulence models for engineering applications[J]. AIAA Journal, 1994, 32(8): 1598-1605.
[22] KNOPP T, ALRUTZ T, SCHWAMBORN D. A grid and flow adaptive wall-function method for RANS turbulence modelling[J]. Journal of Computational Physics, 2006, 220(1): 19-40.
[23] SHU C, WANG Y, TEO C J, et al. Development of lattice boltzmann flux solver for simulation of incompressible flows[J]. Advances in Applied Mathematics and Mechanics, 2014, 6(4): 436-460.
[24] JESPERSEN D C, PULLIAM T H, CHILDS M L. OVERFLOW turbulence modeling resource validation results[R].Washington, D.C.: NASA Ames Research Center, 2016.

Wall model based diffuse-interface immersed boundary method and its application in turbulent flows

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	XU Wengang, WANG Zhiying, SUN Chuang, YAN Ruqiang, CHEN Xuefeng. Pressure pulsation mechanism of gear pump with frequency modulation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(9): 625508-625508.
[2]	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.
[3]	WANG Hongyu, YANG Yanguang, HU Weibo, CHEN Zhi, FENG Liming, ZHOU Youtian. Experimental study on unsteadiness characteristics of shock wave/turbulent boundary layer interaction controlled by high-frequency microsecond pulse discharge [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(1): 625905-625905.
[4]	CHEN Chongpei, LIANG Jianhan, GUAN Qingdi, GAO Tianyun. Conservative compressible one-dimensional turbulence method and its application in supersonic scalar mixing layer [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(S1): 726364-726364.
[5]	WANG Ping, ZHENG Xiaojing. Advances in numerical simulation of wind-blown sand [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(9): 625767-625767.
[6]	YUAN Xianxu, CHEN Jianqiang, DU Yanxia, GUO Qilong, XIAO Guangming, FU Yalu, LIANG Fei, TU Guohua. Research progress on fundamental CFD issues in National Numerical Windtunnel Project [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(9): 625733-625733.
[7]	CHEN Qi, CHEN Jianqiang, YUAN Xianxu, GUO Qilong, WAN Zhao, QIU Bo, LI Chen, ZHANG Yifeng. Progress on application of National Numerical Windtunnel Project for hypersonic [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(9): 625746-625746.
[8]	HE Chuangxin, DENG Zhiwen, LIU Yingzheng. Turbulent flow data assimilation and its applications [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(4): 524704-524704.
[9]	SHI Ruifang, LIN Jianzhong. A review on evolution characteristics of nanoparticles in gas-solid two-phase turbulent flow field [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(12): 625825-625825.
[10]	LI Xu, ZHOU Zhou, XUE Chen. Feedback forcing immersed boundary method for iterative calculations [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(9): 123712-123712.
[11]	LI Chaoqun, LI Yi, ZHANG Chenxi, TANG Shuo. Direct numerical simulation of flow field over streamwise micro riblets [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(11): 123628-123628.
[12]	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.
[13]	LIU Jingyuan. Extension of field synergy principle for convective heat transfer to high speed compressible boundary-layer flows [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(1): 121429-121429.
[14]	CHEN Qian, ZHANG Huiqiang, WANG Bing, ZHOU Weijiang, YANG Yunjun. Research progress of combustion in supersonic mixing layers [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(1): 20036-020036.
[15]	LI Binbin, YAO Yong, JIANG Yubiao, HUANG Yong, GU Yunsong, CHENG Keming. Experiment research of active flow control of turbulent separated flow on backward-facing step using synthetic jet perturbation [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(2): 545-554.