Abstract
A novel method is proposed to combine the wall-modeled large-eddy simulation (LES) with the diffuse-interface direct-forcing immersed boundary (IB) method. The new developments in this method include: (i) the momentum equation is integrated along the wall-normal direction to link the tangential component of the effective body force for the IB method to the wall shear stress predicted by the wall model; (ii) a set of Lagrangian points near the wall are introduced to compute the normal component of the effective body force for the IB method by reconstructing the normal component of the velocity. This novel method will be a classical direct-forcing IB method if the grid is fine enough to resolve the flow near the wall. The method is used to simulate the flows around the DARPA SUBOFF model. The results obtained are well comparable to the measured experimental data and wall-resolved LES results.
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References
LARSSON, J., KAWAI, J., BODART, J., and BERMEJO-MORENO, I. Large eddy simulation with modeled wall-stress: recent progress and future directions. Mechanical Engineering Reviews, 3, 1500418 (2016)
CHAPMAN, D. R. Computational aerodynamics development and outlook. AIAA Journal, 17, 1293–1313 (1979)
PIOMELLI, U. and BALARAS, E. Wall-layer models for large-eddy simulations. Annual Review of Fluid Mechanics, 34, 349–374 (2002)
BOSE, A. T. and PARK, G. I. Wall-modeled large-eddy simulation for complex turbulent flows. Annual Review of Fluid Mechanics, 50, 535–561 (2018)
MITTAL, R. and IACCARINO, G. Immersed boundary methods. Annual Review of Fluid Mechanics, 37, 239–261 (2005)
SOTIROPOULOS, F. and YANG, X. L. Immersed boundary methods for simulating fluid-structure interaction. Progress in Aerospace Sciences, 65, 1–21 (2014)
TESSICINI, F., IACCARINO, G., FATICA, M., WANG, M., and VERZICCO, R. Wall modeling for large-eddy simulation using an immersed boundary method. Annual Research Brief, Stanford University, Palo Alto, 181–187 (2002)
CRISTALLO, A. and VERZICCO, R. Combined immersed boundary/large-eddy-simulations of in-compressible three dimensional complex flows. Flow, Turbulence and Combustion, 77, 3–26 (2006)
CHOI, J., OBEROI, R. C., EDWARDS, J. R., and ROSATI, J. A. An immersed boundary method for complex incompressible flows. Journal of Computational Physics, 224, 757–784 (2007)
ROMAN, F., ARMENIO, V., and FRHLICH, J. A simple wall-layer model for large eddy simula-tion with immersed boundary method. Physics of Fluids, 21, 101701 (2009)
YANG, X., HE, G., and ZHANG, X. Towards large-eddy simulation of turbulent flows with com-plex geometric boundaries using immersed boundary method. 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida (2010)
YANG, X. I. A., SADIQUE, J., MITTAL, R., and MENEVEAU, C. Integral wall model for large eddy simulations of wall-bounded turbulent flows. Physics of Fluids, 27, 025112 (2015)
YANG, X. L., SOTIROPOULOS, F., CONZEMINUS, R. J., WACHTLER, J. N., and STRONG, M. B. Large-eddy simulation of turbulent flow past wind turbines/frams: the virtual wind simu-lator (VWS). Wind Energy, 18, 2025–2045 (2015)
YANG, X. L. and SOTIROPOULOS, F. A new class of actuator surface models for wind turbines. Wind Energy, 21, 285–302 (2018)
FOTI, D., YANG, X. L., and SOTIROPOULOS, F. Similarity of wake meandering for different wind turbine designs for different scales. Journal of Fluid Mechanics, 842, 5–25 (2018)
NICOUD, F. and DUCROS, F. Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow, Turbulence and Combustion, 62, 183–200 (1999)
VANELLA, M., WANG, S., and BALARAS, E. Direct and large-eddy simulations of biological flows. Direct and Large-Eddy Simulation X, Springer, Berlin, 43–51 (2017)
BALARAS, E. Modeling complex boundaries using an external force field on fixed cartesian grids in large-eddy simulations. Computer and Fluids, 33, 375–404 (2004)
VANELLA, M. and BALARAS, E. A moving-least-squares reconstruction for embedded-boundary formulations. Journal of Computational Physics, 228, 6617–6628 (2009)
CABOT, W. and MOIN, P. Approximate wall boundary conditions in the large-eddy simulation of high Reynolds number flow. Flow, Turbulence and Combustion, 63, 269–291 (2000)
WANG, M. and MOIN, P. Dynamic wall modeling for large-eddy simulation of complex turbulent flows. Physics of Fluids, 14, 2043–2051 (2002)
DUPRAT, C., BALARAC, G., METAIS, O., CONGEDO, P. M., and BRUGIERE, O. A wall-layer model for large eddy simulations of turbulent flow with/out pressure gradient. Physics of Fluids, 23, 015101 (2011)
VAN DRIEST, E. R. On turbulent flow near a wall. Journal of the Aeronautical Sciences, 23, 1007–1011 (1956)
WERNER, H. and WENGLE, H. Large-eddy simulation of turbulent flow over and around a cube in a plate channel. Turbulent Shear Flow 8, Springer-Verlag, Berlin, 155–168 (1991)
POSA, A. and BALARAS, E. A numerical investigation of the wake of an axisymmetric body with appendages. Journal of Fluid Mechanics, 792, 470–498 (2010)
HUANG, T., LIU, H. L., GROVES, N., FORLINI, T., BLANTON, J., and GOWING, S. Measure-ments of flows over an axisymmetric body with various appendages in a wind tunnel: the DARPA SUBOFF experimental program. Proceedings of the 19th Symposium on Naval Hydrodynamics, National Academy Press, Korea (1994)
JIMENEZ, J. M., REYNOLDS, R. T., and SMITS, A. J. The intermediate wake of a body of revolution at high Reynolds numbers. Journal of Fluid Mechanics, 659, 516–539 (2010)
JIMENEZ, J. M., REYNOLDS, R. T., and SMITS, A. J. The effects of fins on the intermediate wake of a submarine model. Journal of Fluids Engineering, 132, 031102 (2010)
GROVES, N. C., HUANG, T. T., and CHANG, M. S. Geometric Characteristics of the DARPA SUBOFF Models, Technical Report (No.DTRC/SHD-1298-01), David Taylor Research Center, Bethesda (1989)
Acknowledgements
The author Xiaolei YANG would like to acknowledge the hospitality received at LNM during his visit where he accomplished this work. The computations are conducted on Tianhe-1 at the National Supercomputer Center in Tianjin.
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Project supported by the National Natural Science Foundation of China (Nos. 91752118, 11672305, 11232011, and 11572331), the Strategic Priority Research Program (No.XDB22040104), and the Key Research Program of Frontier Sciences of the Chinese Academy of Sciences (No.QYZDJ-SSW-SYS002)
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Shi, B., Yang, X., Jin, G. et al. Wall-modeling for large-eddy simulation of flows around an axisymmetric body using the diffuse-interface immersed boundary method. Appl. Math. Mech.-Engl. Ed. 40, 305–320 (2019). https://doi.org/10.1007/s10483-019-2425-6
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DOI: https://doi.org/10.1007/s10483-019-2425-6