Flume experiments play a pivotal role in studying wave propagation,with wave elements typically assumed to remain constant in the perpendicular direction.However,evident cross wave phenomena were observed within flume...Flume experiments play a pivotal role in studying wave propagation,with wave elements typically assumed to remain constant in the perpendicular direction.However,evident cross wave phenomena were observed within flumes under certain conditions.This paper presents new analytical solutions for both primary and cross waves on double shoals in a flume via linear shallow-water equations,which may be used to idealize dynamic experimental configurations of coral reefs.The primary waves on double shoals are described by the associated Legendre functions,whereas the ultimate solutions are derived by considering the incident and reflected waves in front of a bathymetry and the transmitted waves positioned behind it.The effects of the angular frequency and topographic parameters on the primary waves are subsequently analyzed.Cross waves on double shoals constitute a type of topographically trapped wave whose solutions are formulated by combining the first and second types of the associated Legendre functions.The angular frequency is not only determined by the wavenumber but also influenced by the topographic parameters.Numerical experiments are conducted to investigate the generation mechanism of cross waves.The consistency between the numerical results and analytical solutions confirms the validity of the new analytical framework of cross waves on double shoals.展开更多
The possible wave resonance in the narrow gap formed by the parallel arrangement of ships will lead to the sharp increase of wave loads and the rapid growth of motion response.The fluid resonance inside a narrow gap b...The possible wave resonance in the narrow gap formed by the parallel arrangement of ships will lead to the sharp increase of wave loads and the rapid growth of motion response.The fluid resonance inside a narrow gap between two side-by-side boxes is investigated numerically based on an open-source CFD package,OpenFOAM.The upstream box remains fixed,while the downstream box is allowed to heave freely under wave actions.This work aims to examine the influence of the motion of the downstream box on the fluid resonant behaviors inside the gap.The hydrodynamic behaviors considered include the wave height inside the gap,the heave displacement,and the reflection,transmission,and energy loss coefficients.Gao et al.(2021)reported the influence of the motion of the upstream box on gap resonant behaviors.For comparative study,some results of Gao et al.(2021)are also presented in this work.It is found that the heave motion of any box in the two-box system leads to a smaller resonant wave height amplification and a larger fluid resonance frequency.The frequency at which the maximum heave displacement of the downstream box occurs is less than the fluid resonant frequency.The heave motion of any box in the two-box system results in a larger reflection coefficient and a smaller energy loss coefficient.展开更多
基金financially supported by the National Natural Science Foundation of China (Grant No. 52071128)the Natural Science Foundation of Jiangsu Basic Research Program (Grant No. BK20220082)
文摘Flume experiments play a pivotal role in studying wave propagation,with wave elements typically assumed to remain constant in the perpendicular direction.However,evident cross wave phenomena were observed within flumes under certain conditions.This paper presents new analytical solutions for both primary and cross waves on double shoals in a flume via linear shallow-water equations,which may be used to idealize dynamic experimental configurations of coral reefs.The primary waves on double shoals are described by the associated Legendre functions,whereas the ultimate solutions are derived by considering the incident and reflected waves in front of a bathymetry and the transmitted waves positioned behind it.The effects of the angular frequency and topographic parameters on the primary waves are subsequently analyzed.Cross waves on double shoals constitute a type of topographically trapped wave whose solutions are formulated by combining the first and second types of the associated Legendre functions.The angular frequency is not only determined by the wavenumber but also influenced by the topographic parameters.Numerical experiments are conducted to investigate the generation mechanism of cross waves.The consistency between the numerical results and analytical solutions confirms the validity of the new analytical framework of cross waves on double shoals.
基金This research is financially supported by the National Natural Science Foundation of China(Grant Nos.51911530205 and 51809039)the Natural Science Foundation of Jiangsu Province(Grant No.BK20201455)+3 种基金the Natural Science Foundation of the Jiangsu Higher Education Institutions(Grant No.20KJD170005)the Qing Lan Project of Jiangsu Universities.The work is also partially supported by UK EPSRC(Grant No.EP/T026782/1)the Royal Academy of Engineering(Grant No.UK-CIAPP/73)the Royal Society(Grant No.IEC\NSFC\181321).
文摘The possible wave resonance in the narrow gap formed by the parallel arrangement of ships will lead to the sharp increase of wave loads and the rapid growth of motion response.The fluid resonance inside a narrow gap between two side-by-side boxes is investigated numerically based on an open-source CFD package,OpenFOAM.The upstream box remains fixed,while the downstream box is allowed to heave freely under wave actions.This work aims to examine the influence of the motion of the downstream box on the fluid resonant behaviors inside the gap.The hydrodynamic behaviors considered include the wave height inside the gap,the heave displacement,and the reflection,transmission,and energy loss coefficients.Gao et al.(2021)reported the influence of the motion of the upstream box on gap resonant behaviors.For comparative study,some results of Gao et al.(2021)are also presented in this work.It is found that the heave motion of any box in the two-box system leads to a smaller resonant wave height amplification and a larger fluid resonance frequency.The frequency at which the maximum heave displacement of the downstream box occurs is less than the fluid resonant frequency.The heave motion of any box in the two-box system results in a larger reflection coefficient and a smaller energy loss coefficient.
