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The interactions between wave-currents and offshore structures with consideration of fluid viscosity

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Abstract

Study of the flow field around the large scale offshore structures under the action of waves and viscous currents is of primary importance for the scouring estimation and protection in the vicinity of the structures. But very little has been known in its mechanism when the viscous effects is taken into consideration. As a part of the efforts to tackle the problem, a numerical model is presented for the simulation of the flow field around a fixed vertical truncated circular cylinder subjected to waves and viscous currents based on the depth-averaged Reynolds equations and depth-averagedk-ɛ turbulence model. Finite difference method with a suitable iteration defect correct method and an artificial open boundary condition are adopted in the numerical process. Numerical results presented relate to the interactions of a pure incident viscous current with Reynolds numberRe=105, a pure incident regular sinusoidal wave, and the coexisting of viscous current and wave with a circular cylinder, respectively. Flow fields associated with the hydrodynamic coefficients of the fixed cylinder, as well as corresponding free surface profiles and wave amplitudes, are discussed. The present method is found to be relatively straightforward, computationally effective and numerically stable for treating the problem of interactions among waves, viscous currents and bodies.

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References

  1. Sarpkaya T, Isaacson M. Mechanics of Wave Forces on Offshore Structures. New York: Van Nostrand Reinhold, 1981. 54.

    Google Scholar 

  2. Zhao R, Faltinsen O. Wave-current interaction effects on large-volume structures. In: 5th Conf. Behav. of Offshore Struct. (BOSS). Trondheim: Beach Erosion Board, 1988. 623–638

    Google Scholar 

  3. Yoon SB, Liu PLF. Interactions of currents and weakly nonlinear water waves in shallow water.J Fluid Mech, 1989, 205: 397–419

    Article  Google Scholar 

  4. Cheng J. Interaction between waves and currents on a three-dimensional body: [Ph D dissertation]. Shanghai: Shanghai Jiao Tong University, 1992. 1–102 (in Chinese)

    Google Scholar 

  5. Mei CC. Numerical methods in water-wave diffraction and radiation.Annu Rev Fluid Mech, 1978, 10: 393–416

    Article  MATH  Google Scholar 

  6. McGuirk JJ, Rodi W. A depth-averaged mathematical model for the near field of side discharges into open-channel flow.J Fluid Mech, 1978, 86, part 4: 761–781

    Article  MATH  Google Scholar 

  7. Borthwick AGL, Kaar ET. Shallow flow modelling using curvilinear depth-averaged stream function and vorticity transport equations.Int J for Num Methods in, Fluids, 1993, 17: 417–445

    Article  MATH  Google Scholar 

  8. Givoli D. Non-reflecting boundary conditions.J of Computational Physics, 1991, 94: 1–29

    Article  MATH  MathSciNet  Google Scholar 

  9. Kawamura T, Kuwahara K. Computation of high Reynolds number flow around a circular cylinder with surface roughness. AIAA paper 84-0340, 1984. 1∼11

  10. Thompson JF. Grid generation techniques in computation fluid dynamics.AIAA J, 1984, 22: 1505

    Article  MATH  Google Scholar 

  11. Wan DC, Liu YZ. Numerical grid generation of body-fitted coordinate system on structured block domains.J of Shanghai Jiaotong University. 1993, 27(5): 9–17 (in Chinese)

    MathSciNet  Google Scholar 

  12. Stetter HJ. The defect correction principle and discretization methods.Numer Math, 1978, 29: 234–248

    Article  MathSciNet  Google Scholar 

  13. Wan DC, Liu YZ, Miao GP. Study of interaction among viscous currents, skew waves and artificial island. In: Chung JS, Das BM, Natvig BJ eds. Proc of 5th Int Offshore and Polar Engineering Conference, The Hague, 1995-06-11∼16. USA: ISOPE Press, 1995, Vol. III 182–188

    Google Scholar 

  14. Wan DC, Liu YZ, Wang YY. Numerical simulation and experimental study of the flow field around a circular cylindrical artificial island under the action of waves and viscous currents.J of Hydrodynamics, Ser B, 1995, 7(1): 105–110

    Google Scholar 

  15. Wan DC, Liu YZ, Miao GP. Numerical simulation of flow field around a circular cylindrical artificial island with co-existing waves and viscous currents. In: Isaacson M, Quick M. eds. International Symposium: Waves-Physical and Numerical Modelling, Vancuver, 1994-08-21∼24. Vancouver: University of British Columbia Press, 1994. Vol.II. 951–957

    Google Scholar 

  16. Spalding DB. Transfer of heat in rivers, bays, lakes and estuaries. Heat Transfer Section, Dept Mech Engng, Imp Coll Rep HTS/75/4, 1975. 890∼917

  17. Fischer H. Longitudinal dispersion and transverse mixing in open channel flow.Ann Rev Fluid Mech., 1973, 5: 59–78

    Article  MATH  Google Scholar 

  18. Rastogi AK, Rodi W. Predictions of heat and mass transfer in open channels.J Hydraul Div, ASCE, (HY3), 1978: 397–417

    Google Scholar 

  19. Launder BE, Spalding DB. The numerical computation of turbulent flows.Comp Meth in Appl Mech Engng, 1974, 3: 269–289

    Article  MATH  Google Scholar 

  20. Laufer J. Investigation of turbulent flow in a two-dimensional channel. N.A.C.A. Rep No 1053, 1951. 312∼331

  21. Hinze JO. Turbulence. Second Edition. New York: McGraw-Hill, 1975. 78–88

    MATH  Google Scholar 

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The project supported by the National Natural Science Foundation of China and Foundation of State Key Laboratory of Ocean Engineering at Shanghai Jiao Tong University.

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Decheng, W., Yingzhong, L. & Guoping, M. The interactions between wave-currents and offshore structures with consideration of fluid viscosity. Acta Mech Sinica 12, 307–322 (1996). https://doi.org/10.1007/BF02487797

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  • DOI: https://doi.org/10.1007/BF02487797

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