Application of local grid refinement to vortex motion due to a solitary wave passing over a submerged body. (English) Zbl 1034.76047
Summary: A numerical method based on the streamfunction-vorticity formulation is applied to simulate two-dimensional, transient, viscous flows with free surface. This method uses the locally refined grid in an inviscid-viscous model to explore the vortex formation due to a solitary wave passing over a submerged bluff body. Two particular bodies considered here are a blunt rectangular block and a semicircular cylinder. Flow visualization to track dyelines is carried out in the laboratory in order to confirm the validity of the numerical results. Numerical results examined by different grid configurations ensure the locally refined grid to be useful in practical application. Flow phenomena, including the vortex motion and wave patterns during nonlinear wave-structure interaction, are also discussed.
MSC:
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76D33 | Waves for incompressible viscous fluids |
| 76D17 | Viscous vortex flows |
| 76D27 | Other free boundary flows; Hele-Shaw flows |
Keywords:
streamfunction-vorticity formulation; free surface; inviscid-viscous model; rectangular block; semicircular cylinder; wave-structure interactionReferences:
| [1] | Antunes-Do-Carmo, International Journal for Numerical Methods in Fluids 16 pp 447– (1993) |
| [2] | Titov, Journal of Waterway, Port, Coastal and Ocean Engineering 121 pp 308– (1995) |
| [3] | Walkley, International Journal for Numerical Methods in Fluids 29 pp 143– (1999) |
| [4] | Gobbi, Coastal Engineering 37 pp 57– (1999) |
| [5] | Ramaswamy, Journal of Computational Physics 90 pp 396– (1990) |
| [6] | Tang, Journal of Computational Physics 88 pp 86– (1990) |
| [7] | Cooker, Journal of Fluid Mechanics 215 pp 1– (1990) |
| [8] | Grilli, Journal of Waterway, Port, Coastal and Ocean Engineering 120 pp 609– (1994) |
| [9] | Tang, ASCE, Journal of Hydraulic Engineering 124 pp 732– (1998) |
| [10] | Fluid Mechanics (1988 edn). West River Press: Michigan, IL, 1977. |
| [11] | Young, Journal of Computational Physics 92 pp 1– (1991) |
| [12] | Trompert, Advances in Resources 16 pp 293– (1993) · Zbl 0802.76051 |
| [13] | De Lange, International Journal for Numerical Methods in Engineering 37 pp 497– (1994) |
| [14] | Dahie, International Journal for Numerical Methods in Engineering 34 pp 1051– (1992) |
| [15] | Tsiveriotis, International Journal for Numerical Methods in Fluids 16 pp 827– (1993) · Zbl 0775.76104 |
| [16] | Ryskin, Journal of Fluid Mechanics 148 pp 1– (1984) · Zbl 0548.76031 |
| [17] | Thompson, Journal of Computational Physics 82 pp 94– (1989) |
| [18] | Cleo, International Journal for Numerical Methods in Fluids 12 pp 535– (1991) |
| [19] | Tang, Journal of the Chinese Institute of Engineers 20 pp 285– (1997) · doi:10.1080/02533839.1997.9741832 |
| [20] | Haussling, Journal of Fluid Mechanics 92 pp 767– (1979) · Zbl 0394.76034 |
| [21] | Yeung, International Journal for Numerical Methods in Fluids 14 pp 1111– (1992) |
| [22] | Grimshaw, Journal of Fluid Mechanics 46 pp 611– (1971) |
| [23] | Chen, Journal of Computational Physics 53 pp 209– (1984) |
| [24] | Numerical Heat Transfer and Fluid Flow. Hemisphere: New York, 1980. · Zbl 0521.76003 |
| [25] | Bernatz, Journal of Mathematical and Computational Modeling 19 pp 71– (1994) |
| [26] | Tsai, Journal of Engineering and Mechanics 121 pp 230– (1995) |
| [27] | Bouard, Journal of Fluid Mechanics 101 pp 583– (1980) |
| [28] | Chang, Journal of Fluid Mechanics 233 pp 243– (1991) |
| [29] | Shirayama, Experimental and Numerical Flow Visualization FED-28 pp 201– (1991) |
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