DOI QR코드

DOI QR Code

Simulated of flow in a three-dimensional porous structure by using the IB-SEM system

  • Wang, Jing (School of Qilu Transportation, Shandong University) ;
  • Li, Shucai (School of Qilu Transportation, Shandong University) ;
  • Li, Liping (School of Qilu Transportation, Shandong University) ;
  • Song, Shuguang (Research Center of Geotechnical and Structural Engineering, Shandong University) ;
  • Lin, Peng (School of Qilu Transportation, Shandong University) ;
  • Ba, Xingzhi (School of Qilu Transportation, Shandong University)
  • Received : 2018.12.08
  • Accepted : 2019.08.22
  • Published : 2019.08.30

Abstract

The IB-SEM numerical method combines the spectral/hp element method and the rigid immersed boundary method. This method avoids the problems of low computational efficiency and errors that are caused by the re-division of the grid when the solids move. Based on the Fourier transformation and the 3D immersed boundary method, the 3D IB-SEM system was established. Then, using the open MPI and the Hamilton HPC service, the computational efficiency was increased substantially. The flows around a cylinder and a sphere were simulated by the system. The surface of the cylinder generates vortices with alternating shedding, and these vortices result in a periodic force acting on the surface of the cylinder. When the shedding vortices enter the flow field behind the cylinder, a recirculation zone is formed. Finally, the three-dimensional pore flow was successfully investigated.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. Agapito G (2013), Message Passing Interface (MPI), Springer, New York, U.S.A.
  2. 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.
  3. 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.
  4. 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).
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. 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.
  17. White, F.M. (1974), Viscous Fluid Flow, McGraw-Hill, New York, U.S.A.