Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2012, Article ID 465972, 14 pages
http://dx.doi.org/10.1155/2012/465972
Research Article

Direct Simulation of Low-Re Flow around a Square Cylinder by Numerical Manifold Method for Navier-Stokes Equations

School of Materials and Energy, Guangdong University of Technology, Guangzhou 510643, China

Received 15 January 2012; Accepted 3 August 2012

Academic Editor: Fu-Yun Zhao

Copyright © 2012 Zhengrong Zhang and Xiangwei Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. H. Ferziger and M. Perić, Computational Methods for Fluid Dynamics, Springer, New York, NY, USA, 3rd edition, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. J. Nordström, J. Gong, E. van der Weide, and M. Svärd, “A stable and conservative high order multi-block method for the compressible Navier-Stokes equations,” Journal of Computational Physics, vol. 228, no. 24, pp. 9020–9035, 2009. View at Publisher · View at Google Scholar
  3. L. Zhang and Z. Chen, “A stabilized mixed finite element method for single-phase compressible flow,” Journal of Applied Mathematics, vol. 2011, Article ID 129724, 16 pages, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  4. S. Boivin, F. Cayré, and J. M. Hérard, “A finite volume method to solve the Navier-Stokes equations for incompressible flows on unstructured meshes,” International Journal of Thermal Sciences, vol. 39, no. 8, pp. 806–825, 2000. View at Publisher · View at Google Scholar · View at Scopus
  5. P. Pořízková, K. Kozel, and J. Horáček, “Numerical simulation of unsteady compressible flow in convergent channel: pressure spectral analysis,” Journal of Applied Mathematics, vol. 2012, Article ID 545120, 9 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  6. G. H. Shi, “Manifold method,” in Proceedings of the 1st International Forum on Discontinuous Deformation Analysis & Simulation of Discontinuous Media, pp. 52–204, Berkeley, Calif, USA, 1996.
  7. G. H. Shi, “Manifold method of material analysis,” in Proceedings of the 9th Army Conference on Applied Mathematics and Computing, pp. 51–76, Minneapolis, Minn, USA, 1992.
  8. K. Terada and M. Kurumatani, “Performance assessment of generalized elements in the finite cover method,” Finite Elements in Analysis and Design, vol. 41, no. 2, pp. 111–132, 2004. View at Publisher · View at Google Scholar · View at Scopus
  9. K. Terada and M. Kurumatani, “An integrated procedure for three-dimensional structural analysis with the finite cover method,” International Journal for Numerical Methods in Engineering, vol. 63, no. 15, pp. 2102–2123, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  10. K. Terada, T. Ishii, T. Kyoya, and Y. Kishino, “Finite cover method for progressive failure with cohesive zone fracture in heterogeneous solids and structures,” Computational Mechanics, vol. 39, no. 2, pp. 191–210, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  11. H. Y. Liu, S. R. Lv, and S. Q. Qin, “Simulation of rock shock damage evolution law with numerical manifold method,” Engineering Science, vol. 19, no. 1, pp. 392–396, 2007 (Chinese). View at Google Scholar
  12. G. F. Wei and W. Feng, “Incompatible numerical manifold method based on heat exchange problem,” Chinese Quarterly of Mechanics, vol. 26, no. 3, pp. 451–454, 2005 (Chinese). View at Google Scholar
  13. Z. R. Zhang, X. W. Zhang, and J. H. Yan, “Manifold method coupled velocity and pressure for Navier-Stokes equations and direct numerical solution of unsteady incompressible viscous flow,” Computers & Fluids, vol. 39, no. 8, pp. 1353–1365, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  14. N. J. Cherry, R. Hillier, and M. E. M. P. Latour, “Unsteady measurements in a separated and reattaching flow,” Journal of Fluid Mechanics, vol. 144, pp. 13–46, 1984. View at Publisher · View at Google Scholar · View at Scopus
  15. A. Mukhopadhyay, G. Biswas, and T. Sundararajan, “Numerical investigation of confined wakes behind a square cylinder in a channel,” International Journal for Numerical Methods in Fluids, vol. 14, no. 12, pp. 1473–1484, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  16. Z. Dang, G. Xi, and S. J. Wang, “Application of the piso method in simulation of unsteady wakes behind a square cylinder,” Journal of Engineering Thermophysics, vol. 20, no. 3, pp. 317–321, 1999 (Chinese). View at Google Scholar · View at Scopus
  17. Y. Yoshida and T. Nomura, “A transient solution method for the finite element incompressible Navier-Stokes equations,” International Journal for Numerical Methods in Fluids, vol. 5, no. 10, pp. 873–890, 1985. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  18. O. C. Zienkiewicz, S. Qu, R. L. Taylor, and S. Nakazawa, “The patch test for mixed formulations,” International Journal for Numerical Methods in Engineering, vol. 23, no. 10, pp. 1873–1883, 1986. View at Publisher · View at Google Scholar · View at Zentralblatt MATH