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Numerical Simulations of Current and Wave Around a Circular Cylinder

Received: 21 May 2016     Published: 24 May 2016
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Abstract

This paper presents numerical simulations of a circular cylinder under the action of current or wave only. The model solves the three-dimensional (3D) Reynolds-averaged Navier-Stokes equations using an explicit projection method. The 3D grid system is made of lots of prisms, which are built from a two-dimensional horizontal triangular grid by adding a number of horizontal layers. A non-linear k-ε model, which can take into account the anisotropy of turbulence is incorporated as a turbulence model. Two test cases including the current flows around and regular waves interact with a circular cylinder are used to demonstrate the capability of the model. The model gives reasonable results in comparison with available experimental data.

Published in Science Research (Volume 4, Issue 2)
DOI 10.11648/j.sr.20160402.18
Page(s) 67-71
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Circular Cylinder, Turbulence Model, Numerical Simulation, Three-Dimensional Model

References
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[2] Ai, C., Jin, S., Lv, B., 2011. A new fully non-hydrostatic 3D free surface flow model for water wave motions. International Journal for Numerical methods in Fluids 66, 1354-1370.
[3] Ai, C., Jin, S., 2012. A multi-layer non-hydrostatic model for wave breaking and run-up. Coastal Engineering, 62, 1-8.
[4] AI, C., Weiye, D., Jin, S., 2014. A general boundary-fitted 3D non-hydrostatic model for nonlinear focusing wave groups. Ocean Engineering, 89, 134-145.
[5] Kimura, I., Hosoda, T., 2003. A non-linear k-ε model with realizability for prediction of flows around bluff bodies. International Journal for Numerical Methods in Fluids 42, 813-837.
[6] Li, Y. S., Liu, S.-X., Yu, Y.-X, Lai, G.-Z., 1999. Numerical modeling of Boussinesq equations by finite element method. Coastal Eng. 37, 97-122.
[7] Li, Y. S., Zhan, J. M., 2001. Boussinesq-type model with boundary-fitted coordinate system. J. Waterw., Port, Coastal, Ocean Eng. 127, 152-160.
[8] Ma, Q. W., Wu, G. X., Eatock Taylor, R., 2001a. Finite element simulation of fully nonlinear interaction between vertical cylinders and steep waves. Part 1: Methodology and numerical procedure. Int. J. Numer. Methods Fluids 36, 265-285.
[9] Ma, Q. W., Wu, G. X., Eatock Taylor, R., 2001b. Finite element simulation of fully nonlinear interaction between vertical cylinders and steep waves. Part 2: Numerical results and validation. Int. J. Numer. Methods Fluids 36, 287-308.
[10] Ong, M. C., Utnes, T., Holmedal, L. E., Myrhaug, D., Pettersen, B., 2009. Numerical simulation of flow around a smooth circular cylinder at very high Reynolds numbers. Marine Structures 22, 142-153.
[11] Roulund A, Sumer B M, Fredsoe J, Michelsen J. Numerical and experimental investigation of flow and scour around a circular pile. Journal of Fluid Mechanics, 2005, 534:351-401.
[12] Salih Kirkgoz, M., Alper Oner, A., Sami Akoz, M., 2009. Numerical modeling of interaction of a current with a circular cylinder near a rigid bed. Advances in Engineering Software 40, 1191-1199.
[13] Sumer B M, Christiansen N, Fredsoe J. The horseshoe vortex and vortex shedding around a vertical wall-mounted cylinder exposed to waves. Journal of Fluid Mechanics, 1997, 332:41-70.
[14] Wang, C. Z., Wu, G. X., 2010. Interactions between fully nonlinear water waves and cylinder arrays in a wave tank. Ocean Eng. 37, 400-417.
[15] Zhao, M., Cheng, L., Teng, B., 2007. Numerical simulation of solitary wave scattering by a circular cylinder array. Ocean Eng. 34, 489-499.
[16] Zhang, B. J., Zhang, Q. H., Zou, G. L., 2015. 3D numerical simulation of bed shear stress distribution in flow around the circular cylinder. Chinese Journal of Hydrodynamics. 30(3), 306-313.
[17] Zhong, Z., Wang, K. H., 2009. Modeling fully nonlinear shallow-water waves and their interactions with cylindrical structures. Comput. Fluids 38, 1018-1025.
Cite This Article
  • APA Style

    Congfang Ai, Weiye Ding, Sheng Jin. (2016). Numerical Simulations of Current and Wave Around a Circular Cylinder. Science Research, 4(2), 67-71. https://doi.org/10.11648/j.sr.20160402.18

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    ACS Style

    Congfang Ai; Weiye Ding; Sheng Jin. Numerical Simulations of Current and Wave Around a Circular Cylinder. Sci. Res. 2016, 4(2), 67-71. doi: 10.11648/j.sr.20160402.18

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    AMA Style

    Congfang Ai, Weiye Ding, Sheng Jin. Numerical Simulations of Current and Wave Around a Circular Cylinder. Sci Res. 2016;4(2):67-71. doi: 10.11648/j.sr.20160402.18

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  • @article{10.11648/j.sr.20160402.18,
      author = {Congfang Ai and Weiye Ding and Sheng Jin},
      title = {Numerical Simulations of Current and Wave Around a Circular Cylinder},
      journal = {Science Research},
      volume = {4},
      number = {2},
      pages = {67-71},
      doi = {10.11648/j.sr.20160402.18},
      url = {https://doi.org/10.11648/j.sr.20160402.18},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sr.20160402.18},
      abstract = {This paper presents numerical simulations of a circular cylinder under the action of current or wave only. The model solves the three-dimensional (3D) Reynolds-averaged Navier-Stokes equations using an explicit projection method. The 3D grid system is made of lots of prisms, which are built from a two-dimensional horizontal triangular grid by adding a number of horizontal layers. A non-linear k-ε model, which can take into account the anisotropy of turbulence is incorporated as a turbulence model. Two test cases including the current flows around and regular waves interact with a circular cylinder are used to demonstrate the capability of the model. The model gives reasonable results in comparison with available experimental data.},
     year = {2016}
    }
    

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  • TY  - JOUR
    T1  - Numerical Simulations of Current and Wave Around a Circular Cylinder
    AU  - Congfang Ai
    AU  - Weiye Ding
    AU  - Sheng Jin
    Y1  - 2016/05/24
    PY  - 2016
    N1  - https://doi.org/10.11648/j.sr.20160402.18
    DO  - 10.11648/j.sr.20160402.18
    T2  - Science Research
    JF  - Science Research
    JO  - Science Research
    SP  - 67
    EP  - 71
    PB  - Science Publishing Group
    SN  - 2329-0927
    UR  - https://doi.org/10.11648/j.sr.20160402.18
    AB  - This paper presents numerical simulations of a circular cylinder under the action of current or wave only. The model solves the three-dimensional (3D) Reynolds-averaged Navier-Stokes equations using an explicit projection method. The 3D grid system is made of lots of prisms, which are built from a two-dimensional horizontal triangular grid by adding a number of horizontal layers. A non-linear k-ε model, which can take into account the anisotropy of turbulence is incorporated as a turbulence model. Two test cases including the current flows around and regular waves interact with a circular cylinder are used to demonstrate the capability of the model. The model gives reasonable results in comparison with available experimental data.
    VL  - 4
    IS  - 2
    ER  - 

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Author Information
  • State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, China

  • State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, China

  • State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, China

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