Experimental and Numerical Study on the Hydrodynamic Characteristics of Solitary Waves Passing Over A Submerged Breakwater
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摘要
In this study, solitary waves passing over a submerged breakwater are investigated both experimentally and numerically. A total of 9 experimental conditions are carried out, including different incident wave heights and water depths. Numerical simulations are performed using a high-order finite-difference model solving Navier–Stokes(N–S) equations. The predicted water wave elevation, velocity and pressure show good agreement with experimental data, verifying the accuracy and capacity of the numerical model. Furthermore, parametric studies are conducted by numerical modelling to examine the effects of the geometrical features of submerged dike on hydrodynamic characteristics around the breakwater.
In this study, solitary waves passing over a submerged breakwater are investigated both experimentally and numerically. A total of 9 experimental conditions are carried out, including different incident wave heights and water depths. Numerical simulations are performed using a high-order finite-difference model solving Navier–Stokes(N–S) equations. The predicted water wave elevation, velocity and pressure show good agreement with experimental data, verifying the accuracy and capacity of the numerical model. Furthermore, parametric studies are conducted by numerical modelling to examine the effects of the geometrical features of submerged dike on hydrodynamic characteristics around the breakwater.
In this study, solitary waves passing over a submerged breakwater are investigated both experimentally and numerically. A total of 9 experimental conditions are carried out, including different incident wave heights and water depths. Numerical simulations are performed using a high-order finite-difference model solving Navier–Stokes(N–S) equations. The predicted water wave elevation, velocity and pressure show good agreement with experimental data, verifying the accuracy and capacity of the numerical model. Furthermore, parametric studies are conducted by numerical modelling to examine the effects of the geometrical features of submerged dike on hydrodynamic characteristics around the breakwater.
引文
Boussinesq,J.,1872.Théorie des ondes et des remous qui se propagent le long d'un canal rectangulaire horizontal,en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond,Journal de Mathématiques Pures et Appliquées,17(2),55-108.(in French)
Chang,K.A.,Hsu,T.J.and Liu,P.L.F.,2001.Vortex generation and evolution in water waves propagating over a submerged rectangular obstacle:Part I.Solitary waves,Coastal Engineering,44(1),13-36.
Hsu,T.W.,Hsieh,C.M.and Hwang,R.R.,2004.Using RANS to simulate vortex generation and dissipation around impermeable submerged double breakwaters,Coastal Engineering,51(7),557-579.
Hu,C.H.and Kashiwagi,M.,2004.A CIP-based method for numerical simulations of violent free-surface flows,Journal of Marine Science and Technology,9(4),143-157.
Li,F.C.and Ting,C.L.,2012.Separation of free and bound harmonics in waves,Coastal Engineering,67,29-40.
Lin,M.Y.,Li,C.Y.and Wang,A.P.,2014.Particle based simulation for solitary waves passing over a submerged breakwater,Journal of Applied Mathematics and Physics,2(6),269-276.
Lin,P.Z.,2004.A numerical study of solitary wave interaction with rectangular obstacles,Coastal Engineering,51(1),35-51.
Lokesha,Kerpen,N.B.,Sannasiraj,S.A.,Sundar,V.and Schlurmann,T.,2015.Experimental investigations on wave transmission at submerged breakwater with smooth and stepped slopes,Procedia Engineering,116,713-719.
Ma,G.F.,Farahani,A.A.,Kirby,J.T.and Shi,F.Y.,2016.Modeling wave-structure interactions by an immersed boundary method in aσ-coordinate model,Ocean Engineering,125,238-247.
Madsen,O.S.and Mei,C.C.,1969.The transformation of a solitary wave over an uneven bottom,Journal of Fluid Mechanics,39(4),781-791.
Mansouri,A.and Aminnejad,B.,2014.Interaction of submerged breakwater by a solitary wave using WC-SPH method,Journal Modelling and Simulation in Engineering,2014,524824.
Mei,C.C.,1985.Scattering of solitary wave at abrupt junction,Journal of Waterway,Port,Coastal,and Ocean Engineering,111(2),319-328.
Ning,D.Z.,Chen,L.F.,Zhao,M.and Teng,B.,2016.Experimental and numerical investigation of the hydrodynamic characteristics of submerged breakwaters in waves,Journal of Coastal Research,32(4),800-813.
Peng,W.,Lee,K.H.and Mizutani,N.,2012.Application of direct-forcing IB-VOF method to the simulation of wave deformation by submerged structures,Journal of Coastal Research,28(3),658-670.
Peskin,C.S.,1972.Flow patterns around heart valves:A numerical method,Journal of Computational Physics,10(2),252-271.
Seabra-Santos,F.J.,Renouard,D.P.and Temperville,A.M.,1987.Numerical and experimental study of the transformation of a solitary wave over a shelf or isolated obstacle,Journal of Fluid Mechanics,176,117-134.
Shen,Z.R.and Wan,D.C.,2016.An irregular wave generating approach based on naoe-foam-sjtu solver,China Ocean Engineering,30(2),177-192.
Ting,F.C.K.and Kim,Y.K.,1994.Vortex generation in water waves propagating over a submerged obstacle,Coastal Engineering,24(1-2),23-49.
Wang,J.D.,He,G.H.,You,R.and Liu,P.F.,2018.Numerical study on interaction of a solitary wave with the submerged obstacle,Ocean Engineering,158,1-14.
Xiao,F.,Ii,S.and Chen,C.G.,2011.Revisit to the THINC scheme:Asimple algebraic VOF algorithm,Journal of Computational Physics,230(19),7086-7092.
Yabe,T.,Xiao,F.and Utsumi,T.,2001.The constrained interpolation profile method for multiphase analysis,Journal of Computational Physics,169(2),556-593.
Zhao,X.Z.,Gao,Y.Y.,Cao,F.F.and Wang,X.G.,2016.Numerical modeling of wave interactions with coastal structures by a constrained interpolation profile/immersed boundary method,International Journal for Numerical Methods in Fluids,81(5),265-283.
Zhao,X.Z.and Hu C.H.,2012.Numerical and experimental study on a2-D floating body under extreme wave conditions,Applied Ocean Research,35,1-13.
Chang,K.A.,Hsu,T.J.and Liu,P.L.F.,2001.Vortex generation and evolution in water waves propagating over a submerged rectangular obstacle:Part I.Solitary waves,Coastal Engineering,44(1),13-36.
Hsu,T.W.,Hsieh,C.M.and Hwang,R.R.,2004.Using RANS to simulate vortex generation and dissipation around impermeable submerged double breakwaters,Coastal Engineering,51(7),557-579.
Hu,C.H.and Kashiwagi,M.,2004.A CIP-based method for numerical simulations of violent free-surface flows,Journal of Marine Science and Technology,9(4),143-157.
Li,F.C.and Ting,C.L.,2012.Separation of free and bound harmonics in waves,Coastal Engineering,67,29-40.
Lin,M.Y.,Li,C.Y.and Wang,A.P.,2014.Particle based simulation for solitary waves passing over a submerged breakwater,Journal of Applied Mathematics and Physics,2(6),269-276.
Lin,P.Z.,2004.A numerical study of solitary wave interaction with rectangular obstacles,Coastal Engineering,51(1),35-51.
Lokesha,Kerpen,N.B.,Sannasiraj,S.A.,Sundar,V.and Schlurmann,T.,2015.Experimental investigations on wave transmission at submerged breakwater with smooth and stepped slopes,Procedia Engineering,116,713-719.
Ma,G.F.,Farahani,A.A.,Kirby,J.T.and Shi,F.Y.,2016.Modeling wave-structure interactions by an immersed boundary method in aσ-coordinate model,Ocean Engineering,125,238-247.
Madsen,O.S.and Mei,C.C.,1969.The transformation of a solitary wave over an uneven bottom,Journal of Fluid Mechanics,39(4),781-791.
Mansouri,A.and Aminnejad,B.,2014.Interaction of submerged breakwater by a solitary wave using WC-SPH method,Journal Modelling and Simulation in Engineering,2014,524824.
Mei,C.C.,1985.Scattering of solitary wave at abrupt junction,Journal of Waterway,Port,Coastal,and Ocean Engineering,111(2),319-328.
Ning,D.Z.,Chen,L.F.,Zhao,M.and Teng,B.,2016.Experimental and numerical investigation of the hydrodynamic characteristics of submerged breakwaters in waves,Journal of Coastal Research,32(4),800-813.
Peng,W.,Lee,K.H.and Mizutani,N.,2012.Application of direct-forcing IB-VOF method to the simulation of wave deformation by submerged structures,Journal of Coastal Research,28(3),658-670.
Peskin,C.S.,1972.Flow patterns around heart valves:A numerical method,Journal of Computational Physics,10(2),252-271.
Seabra-Santos,F.J.,Renouard,D.P.and Temperville,A.M.,1987.Numerical and experimental study of the transformation of a solitary wave over a shelf or isolated obstacle,Journal of Fluid Mechanics,176,117-134.
Shen,Z.R.and Wan,D.C.,2016.An irregular wave generating approach based on naoe-foam-sjtu solver,China Ocean Engineering,30(2),177-192.
Ting,F.C.K.and Kim,Y.K.,1994.Vortex generation in water waves propagating over a submerged obstacle,Coastal Engineering,24(1-2),23-49.
Wang,J.D.,He,G.H.,You,R.and Liu,P.F.,2018.Numerical study on interaction of a solitary wave with the submerged obstacle,Ocean Engineering,158,1-14.
Xiao,F.,Ii,S.and Chen,C.G.,2011.Revisit to the THINC scheme:Asimple algebraic VOF algorithm,Journal of Computational Physics,230(19),7086-7092.
Yabe,T.,Xiao,F.and Utsumi,T.,2001.The constrained interpolation profile method for multiphase analysis,Journal of Computational Physics,169(2),556-593.
Zhao,X.Z.,Gao,Y.Y.,Cao,F.F.and Wang,X.G.,2016.Numerical modeling of wave interactions with coastal structures by a constrained interpolation profile/immersed boundary method,International Journal for Numerical Methods in Fluids,81(5),265-283.
Zhao,X.Z.and Hu C.H.,2012.Numerical and experimental study on a2-D floating body under extreme wave conditions,Applied Ocean Research,35,1-13.