Hydrodynamic Coefficients for Vertical Plane Wave Motion Problems

Michael de St. Q. Isaacson; Wu Song-ren

Volume 4 Issue 3

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1983 > 4(3): 303-313

Michael de St. Q. Isaacson, Wu Song-ren. Hydrodynamic Coefficients for Vertical Plane Wave Motion Problems[J]. Applied Mathematics and Mechanics, 1983, 4(3): 303-313.

Citation:

Michael de St. Q. Isaacson, Wu Song-ren. Hydrodynamic Coefficients for Vertical Plane Wave Motion Problems[J]. Applied Mathematics and Mechanics, 1983, 4(3): 303-313.

Citation:

Michael de St. Q. Isaacson, Wu Song-ren. Hydrodynamic Coefficients for Vertical Plane Wave Motion Problems[J]. Applied Mathematics and Mechanics, 1983, 4(3): 303-313.

PDF( 641 KB)

Hydrodynamic Coefficients for Vertical Plane Wave Motion Problems

Michael de St. Q. Isaacson¹,
Wu Song-ren²

1.
The University of British Columbia, Vancouver, Canada;
2.
Chongqing Jiaotong Institute, Chongqing

Received Date: 1982-09-30
Publish Date: 1983-06-15

Abstract

Abstract

In this paper a numerical method for calculating the hydro-dynamic coefficients for vertical plane wave motion problems in deep water is described. This procedure is developed by using the wave source method based on Green's theorem. The applications of the method to the cases of semi-circular and rectangular section bodies subjected to linear waves are presented, here, and the computed results are compared with the earlier experimental data of Vugts.

FullText(HTML)

References(6)

References

[1]	Bai,K.J.and R.Yeung,Numerical solutions for free surface problems,Proc.10th Symp.Naval Hydrodyn.,Cambridge,Mass.,(1974),609-647.
[2]	John,R.,On the motion of floating bodies,Ⅱ,Comm.Pure and Applied Mathematics,Vol.3,(1950) ;45-101.
[3]	Kim,W.D.,On the harmonic oscillations of a rigid body on a free surface,J.Fluid Mech.,Vol.21,(1965),427-451.
[4]	Sarpkaya,T.and M.Isaacson,Mechanics of Wave Forces on Offshore Structures,Van Nostrand Reinhold,New York,(1981).
[5]	Ursell,F.,Surface wave on deep water in the pressure of a submerged circular cylinder Ⅱ,Proc.Camb.Phil.Soc.,Vol.46,(1950),141-152.
[6]	Vugts,J.H.,The hydrodynamic coefficient for swaying,heaving and rolling cylinders in a free surface,Int.Shipbuilding Prog.,Vol.15,(1968),251-276．

Relative Articles

[1]	XIONG Chunbao, GUO Ying, DIAO Yu. Dynamic Responses of Saturated Porous Foundations Under Coupled Thermo-Hydro-Mechanical Effects[J]. Applied Mathematics and Mechanics, 2018, 39(6): 689-699. doi: 10.21656/1000-0887.380140
[2]	LIN Xian-wu, LAN Wei-yao, LI Zhi-bin, LI He. The Integral Form Fluid Momentum Theorem on Time-Varying Systems and Its Application to Aerodynamic Force Coefficient Analysis[J]. Applied Mathematics and Mechanics, 2016, 37(6): 551-566. doi: 10.3879/j.issn.1000-0887.2016.06.001
[3]	SUN Xian-hang, XU Ming-hai, GONG Liang, JIA Xin-xin, ZHOU Hui. A Fast POD-Based Method for Predicting Oil and Water Flow in Water-Drive Reservoir[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1228-1237. doi: 10.3879/j.issn.1000-0887.2015.12.002
[4]	XU Yong, DONG Wen-cai. Hydrodynamic Interactions Between Multiple Ships Advancing Parallel in Close Proximity in Waves[J]. Applied Mathematics and Mechanics, 2014, 35(4): 389-400. doi: 10.3879/j.issn.1000-0887.2014.04.005
[5]	XIONG Hui, YANG Guang. Dynamics of a Complex-Valued Heat Equation[J]. Applied Mathematics and Mechanics, 2014, 35(9): 1055-1062. doi: 10.3879/j.issn.1000-0887.2014.09.011
[6]	WU Hai-jun, JIANG Wei-kang, LIU Yi-jun. Diagonal Form Fast Multipole Boundary Element Method for 2D Acoustic Problems Based on Burton-Miller BIE Formulation and Its Applications[J]. Applied Mathematics and Mechanics, 2011, 32(8): 920-933. doi: 10.3879/j.issn.1000-0887.2011.08.003
[7]	Rajneesh Kumar, Rupender. Propagation of Plane Waves at the Imperfect Boundary of an Elastic and Electro-Microstretch Generalized Thermoelastic Solid[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1355-1368. doi: 10.3879/j.issn.1000-0887.2009.11.010
[8]	A. K. Vashishth, M. D. Sharma. Propagation of Plane Waves in Poroviscoelastic Anisotropic Media[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1037-1047.
[9]	XU Ai-jin, ZHOU Zhe-wei, HU Guo-hui. Molecular Dynamics of Dewetting of Ultra-Thin Water Films on a Solid Substrate[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1387-1391.
[10]	ZHANG Gang, LIU Zeng-rong, MA Zhong-jun. Generalized Synchronization of Continuous Dynamical System[J]. Applied Mathematics and Mechanics, 2007, 28(2): 141-146.
[11]	Rajneesh Kumar, Manjeet Singh. Propagation of Plane Waves in Thermoelastic Cubic Crystal Material With Two Relaxation Times[J]. Applied Mathematics and Mechanics, 2007, 28(5): 561-574.
[12]	A. Chattopadhyay. Reflection for Three-Dimensional Plane Waves in Triclinic Crystalline Medium[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1166-1174.
[13]	Zhou Xianchu, Wang Dongjiao, Allen T. Chwang. Hydrodynamic Interaction between Two Vertical Cylinders in Water Waves[J]. Applied Mathematics and Mechanics, 1997, 18(10): 867-878.
[14]	Zhu Chang-jiang. Intial Value Problem for High Dimensional Dynamic Systems[J]. Applied Mathematics and Mechanics, 1995, 16(3): 263-266.
[15]	Naseer Ahmed. Integral Invariants of a Holonomic Dynamical System Naseer Ahmed[J]. Applied Mathematics and Mechanics, 1994, 15(8): 719-727.
[16]	Tao Ming-de, Shi Xiao-ming. Problem of Hydrodynamic Pressure on Suddenly Starting Vessel[J]. Applied Mathematics and Mechanics, 1993, 14(2): 139-145.
[17]	Li Xiang-wei, Li Xiang-yue. Wave Propagation with Mass-Coupling Effect in Fluid-Saturated Porous Media[J]. Applied Mathematics and Mechanics, 1989, 10(4): 309-314.
[18]	Wu Wang-yi, Richard Skalak. The Inlet Effect on the Drag Factor of a Sphere in a Tube[J]. Applied Mathematics and Mechanics, 1985, 6(8): 681-698.
[19]	Huang Wan-li. The Extremity Laws of Hydro-Thermodynamics[J]. Applied Mathematics and Mechanics, 1983, 4(4): 469-476.
[20]	Qian Guo-zhen. Solution for Free Vibration Problem of the Membrane with Unequal Tension in Two Directions[J]. Applied Mathematics and Mechanics, 1982, 3(6): 817-824.