Acknowledgement
Supported by : National Natural Science Foundation of China
References
- Agapito G (2013), Message Passing Interface (MPI), Springer, New York, U.S.A.
- Akhshik, S., Behzad, M. and Rajabi, M. (2016), "CFD-DEM simulation of the hole cleaning process in a deviated well drilling: The effects of particle shape", Particuology, 25(2), 72-82. https://doi.org/10.1016/j.partic.2015.02.008.
- Chen, L., Wang, E., Feng, J. and Li, X.L. (2016), "Numerical simulation on gas continuous emission from face during roadway excavation", Geomech. Eng., 10(3), 297-314. https://doi.org/10.12989/gae.2016.10.3.297.
- El Shamy, U. and Zeghal, M. (2005), "Coupled continuumdiscrete model for saturated granular soils", J. Eng. Mech., 131(4), 413-426. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:4(413).
- Gilmanov, A., Sotiropoulos, F. and Balaras, E. (2003), "A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids", J. Comput. Phys, 191(2), 660-669. https://doi.org/10.1016/S0021-9991(03)00321-8.
- Gropp, W., Hoefler, T., Thakur, R. and Lusk, E (2014), Using Advanced MPI: Modern Features of the Message-passing Interface, MIT Press, Cambridge, Massachusetts, U.S.A.
- Hunt, J.C.R., Wray, A.A. and Moin, P. (1988), "Eddies, Streams, and Convergence Zones in Turbulent Flows", Proceedings of the Summer Program, San Francisco, California, U.S.A., June.
- Johnson, T.A. and Patel, V.C. (1999), "Flow past a sphere up to a reynolds number of 300", J. Fluid Mech., 378, 19-70. https://doi.org/10.1017/s0022112098003206.
- Lee, S. (2000), "A numerical study of the unsteady wake behind a sphere in a uniform flow at moderate Reynolds numbers", Comput. Fluids, 29(6), 639-667. https://doi.org/10.1016/S0045-7930(99)00023-7.
- Levin, J.C., Iskandarani, M. and Haidvogel, D.B. (2015), "To continue or discontinue: Comparisons of continuous and discontinuous Galerkin formulations in a spectral element ocean model", Ocean Model., 15(1-2), 56-70. https://doi.org/10.1016/j.ocemod.2005.10.001.
- Li, S., Wang, J., Li, L., Shi, S. and Zhou, Z. (2019), "The theoretical and numerical analysis of water inrush through filling structures", Math. Comput. Simulat., 162, 115-134. https://doi.org/10.1016/j.matcom.2018.12.014.
- Marina, S., Derek, I., Mohamed, P., Yong, S. and Imo-Imo, E.K. (2015), "Simulation of the hydraulic fracturing process of fractured rocks by the discrete element method", Environ. Earth Sci., 73(12), 8451-8469. https://doi.org/10.1007/s12665-014-4005-z.
- Park, H., Pan, X., Lee, C. and Choi, J.I. (2016), "A preconditioned implicit direct forcing based immersed boundary method for incompressible viscous flows", J. Comput. Phys., 314, 774-799. https://doi.org/10.1016/j.jcp.2016.03.035.
- Taneda, S. (1956), "Experimental investigation of the wake behind a sphere at low Reynolds numbers", J. Phys. Soc. Jpn., 11(10), 1104-1108. https://doi.org/10.1143/JPSJ.11.1104.
- Wang, J, Li, S.C., Mao, X.C., Li, L.P., Shi, S.S and Zhou, Z.Q. (2018), "The establishment of IB-SEM numerical method and verification of fluid-solid interaction", Geomech. Eng., 15(6), 1161-1171. https://doi.org/10.12989/gae.2018.15.6.1161.
- Wang, Y. and Ni, X. (2013), "Hydro-mechanical analysis of piping erosion based on similarity criterion at micro-level by PFC3D", Eur. J. Environ. Civ. Eng., 17(sup1), s187-s204. https://doi.org/10.1080/19648189.2013.834594.
- White, F.M. (1974), Viscous Fluid Flow, McGraw-Hill, New York, U.S.A.