An improved Rankine source panel method for three dimensional water wave problems
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초록
An improved three dimensional Rankine source method is developed to solve numerically water wave problems in time domain. The free surface and body surface are both represented by continuous panels rather than a discretization by isolated points. The integral of Rankine source 1=r on free surface panel is calculated analytically instead of numerical approximation. Due to the exact algorithm of Rankine source integral applied on the free surface and body surface, a space increment free surface source distribution method is developed and much smaller amount of source panels are required to cover the fluid domain surface than other numerical approximation methods. The proposed method shows a higher accuracy and efficiency compared to other numerical methods for various water wave problems.
Abstract
An improved three dimensional Rankine source method is developed to solve numerically water wave problems in time domain. The free surface and body surface are both represented by continuous panels rather than a discretization by isolated points. The integral of Rankine source 1=r on free surface panel is calculated analytically instead of numerical approximation. Due to the exact algorithm of Rankine source integral applied on the free surface and body surface, a space increment free surface source distribution method is developed and much smaller amount of source panels are required to cover the fluid domain surface than other numerical approximation methods. The proposed method shows a higher accuracy and efficiency compared to other numerical methods for various water wave problems.
참고문헌 (42)
- Bai, W., "Simulation of second-order wave interaction with fixed and floating structures in time domain", Ocean Eng, 74, pp.168~177 (2013)
- Bandyk, P., "The acceleration potential in fluidebody interaction problems", J. Eng. Math, 70(1), pp.147~163 (2011)
- Bandyk, P. J., "A Body-exact Strip Theory Approach to Ship Motion Computations", Ph.D, pp.2009
- Beck, R., "Time-domain computations for floating bodies", Appl. Ocean Res, 16(5), pp.267~282 (1994)
- Beck, R. F., "Time-domain analysis of wave exciting forces on floating bodies at zero forward speed", Appl. Ocean Res, 11(1), pp.19~25 (1989)
- Cao, Y., "Numerical computations of two-dimensional solitary waves generated by moving disturbances", Int. J. Numer. Meth. Fluid, 17(10), pp.905~920 (1993)
- Cao, Y., "Desingularized boundary integral equations and their applications in wave dynamics and waveebody interaction problems", J. Ocean Eng. Sci, 1(1), pp.11~29 (2016)
- Cao, Y., "Three-dimensional, unsteady computations of nonlinear waves caused by underwater disturbances", Proceedings of the 18th Symposium on Naval Hydrodynamics, 1, pp.417~425 (1990)
- Cao, Y., "Three-dimensional desingularized boundary integral methods for potential problems", Int. J. Numer. Meth. Fluid, 12(8), pp.785~803 (1991)
- Chen, Z. -M., "Regular wave integral approach to the prediction of hydrodynamic performance of submerged spheroid", Wave Motion, 51(2), pp.193~205 (2014)
- Das, S., "Scattered waves and motions of marine vessels advancing in a seaway", Wave Motion, 49(1), pp.181~197 (2012)
- Eatock Taylor, R., "Wave diffraction theorysome developments in linear and nonlinear theory", J. Offshore Mech. Arctic Eng, 114(3), pp.185~194 (1992)
- Feng, A., "A continuous desingularized source distribution method describing wave-body interactions of a large amplitude oscillatory body", J. Offshore Mech. Arctic Eng, 137(2) (2015)
- Gao, Z., "A NURBS-based high-order panel method for threedimensional radiation and diffraction problems with forward speed", Ocean Eng, 35(11), pp.1271~1282 (2008)
- Hess, J., "Calculation of non-lifting potential flow about arbitrary three dimensional bodies", J. Ship Res, 8(2), pp.22~44 (1964)
- Hulme, A., "The wave forces acting on a floating hemisphere undergoing forced periodic oscillations", J. Fluid Mech, 121, pp.443~463 (1982)
- Isaacson, M., "Second order wave diffraction around twodimensional bodies by time-domain method", Appl. Ocean Res, 13(4), pp.175~186 (1991)
- Isaacson, M., "Second-order wave radiation of threedimensional bodies by time-domain method", International Journal of Offshore and Polar Engineering, 3(04) (1993)
- Israeli, M., "Approximation of radiation boundary conditions", J. Comput. Phys, 41(1), pp.115~135 (1981)
- Kim, Y., "Linear and nonlinear interactions of surface waves with bodies by a three-dimensional rankine panel method", Appl. Ocean Res, 19(5), pp.235~249 (1997)
- Koo, W., "Freely floating-body simulation by a 2D fully nonlinear numerical wave tank", Ocean Eng, 31(16), pp.2011~2046 (2004)
- Koo, W., "Numerical simulation of nonlinear wave and force generated by a wedge-shape wave maker", Ocean Eng, 33(8), pp.983~1006 (2006)
- Koo, W., "Fully nonlinear wave-body interactions with surfacepiercing bodies", Ocean Eng, 34(7), pp.1000~1012 (2007)
- Kouh, J., "A 3D potential-based and desingularized high order panel method", Ocean Eng, 28(11), pp.1499~1516 (2001)
- Kring, D. C., "Numerical stability analysis for time-domain ship motion simulations", J. Ship Res, 39(4), pp.313~320 (1995)
- Lamb, H., "Hydrodynamics", pp.59~60 (1945), Dover Publications, Inc
- Lee, C., "Computations of wave loads using a bspline panel method", Proceedings of the 21st Symposium on Naval Hydrodynamics, pp.75~92 (1996)
- Lee, T., "Nonlinear Radiation Problems for a Surface-piercing Body", Ph.D, pp.1992
- Lee, T., "Fully nonlinear wave computations for arbitrary floating bodies using the delta method", Int. Hydrodyn, 15(002) (2003)
- Maniar, H. D., "A Three Dimensional Higher Order Panel Method Based on Bsplines", Ph.D, pp.1995
- Nakos, D., "On steady and unsteady ship wave patterns", J. Fluid Mech, 215, pp.263~288 (1990)
- Nossen, J., "Wave forces on three-dimensional floating bodies with small forward speed", J. Fluid Mech, 227, pp.135~160 (1991)
- Sclavounos, P. D., "Stability analysis of panel methods for freesurface flows with forward speed", Proceeding of the 17th Symposium on Naval Hydrodynamics (1988)
- Tanizawa, K., "Long time fully nonlinear simulation of floating body motions with artificial damping zone", J. Soc. Nav. Archit. Jpn, 180, pp.311~319 (1996)
- Wang, L., "Simulation of waveebody interaction : a desingularized method coupled with acceleration potential", J. Fluid Struct, 52, pp.37~48 (2015)
- Wang, L., "Wave interaction with a surface-piercing body in water of finite depth : a parametric study", Eng. Appl. Comput. Fluid Mech, 10(1), pp.512~528 (2016)
- Wehausen, J., "Surface Waves" (1960), Springer
- Yonghui, L., "Polar coordinate transformation approach for treatment of singular integrals in boundary element methods", Appl. Math. Mech, 9(10), pp.959~967 (1988)
- Zhang, X., "Time-domain simulations of radiation and diffraction forces", J. Ship Res, 54(2), pp.79~94 (2010)
- Zhang, X., "Computations for large-amplitude two-dimensional body motions", J. Eng. Math, 58(1), pp.177~189 (2007)
- Zhang, X., "Three-dimensional large amplitude body motions in waves", J. Offshore Mech. Arctic Eng, 130(4), pp.16~23 (2008)
- Zhang, X., "Wave propagation in a fully nonlinear numerical wave tank : a desingularized method", Ocean Eng, 33(17), pp.2310~2331 (2006)
