Influences of topographic variations of the offshore fringing reef on the harbor oscillations excited by incident Nwaves with different amplitudes and waveform types are studied for the first time.Both the propagation...Influences of topographic variations of the offshore fringing reef on the harbor oscillations excited by incident Nwaves with different amplitudes and waveform types are studied for the first time.Both the propagation of the Nwaves over the reef and the subsequently-induced harbor oscillations are simulated by a Boussinesq-type numerical model,FUNWAVE-TVD.The present study concentrates on revealing the influences of the plane reef-face slope,the reef-face profile shape and the lagoon width on the maximum runup,the wave energy distribution and the total wave energy within the harbor.It shows that both the wave energy distribution uniformity and the total wave energy gradually increase with decreasing reef-face slope.The profile shape of the reef face suffering leading-elevation Nwaves(LEN waves)has a negligible impact on the wave energy distribution uniformity,while for leading-depression N-waves(LDN waves),the latter gradually decreases with the mean water depth over the reef face.The total wave energy always first increases and then decreases with the mean water depth over the reef face.In general,the total wave energy first sharply decreases and then slightly increases with the lagoon width,regardless of the reef-face width and the incident waveform type.The maximum runup subjected to the LEN waves decreases monotonously with the lagoon width.However,for the LDN waves,its changing trend with the lagoon width relies on the incident wave amplitude.展开更多
Kinematic dynamo problem is studied with tsunami motion in open oceans. Using long wave approximation, a series solution of the dynamo problem is established with fast convergent rate based on a small parameter relati...Kinematic dynamo problem is studied with tsunami motion in open oceans. Using long wave approximation, a series solution of the dynamo problem is established with fast convergent rate based on a small parameter relating water wave dispersive effects. Taking solitary wave and single wave as typical tsunami wave models, the magnitude of tsunami induced magnetic field is estimated at the order of 10 nano Tesla （nT） just over sea level and 1 nT at altitudes of several hundreds kilometers, respectively, depending on the wave parameters as well as earth magnetic field. The space and time behavior of the magnetic field predicted by present model shows fairly similarity with the field data at Easter Island during 2010 Chile tsunami.展开更多
We mainly investigate the rational solutions and N-wave resonance solutions for the(3+1)-dimensional Kudryashov–Sinelshchikov equation, which could be used to describe the liquid containing gas bubbles. With appropri...We mainly investigate the rational solutions and N-wave resonance solutions for the(3+1)-dimensional Kudryashov–Sinelshchikov equation, which could be used to describe the liquid containing gas bubbles. With appropriate transformations, two kinds of bilinear forms are derived. Employing the two bilinear equations, dynamical behaviors of nine district solutions for this equation are discussed in detail, including bright rogue wave-type solution, dark rogue wave-type solution, bright W-shaped solution, dark W-shaped rational solution, generalized rational solution and bright-fusion, darkfusion, bright-fission, and dark-fission resonance solutions. In addition, the generalized rational solutions, which depending on two arbitrary parameters, have an interesting structure: splitting from two peaks into three peaks.展开更多
基金financially supported by the National Key Research and Development Program of China(Grant No.2017YFC1404200)the National Natural Science Foundation of China(Grant Nos.51911530205 and 51809039)+5 种基金the Natural Science Foundation of Jiangsu Province(Grant No.BK20201455)the Natural Science Foundation of the Jiangsu Higher Education Institutions(Grant No.20KJD170005)the Qing Lan Project of Jiangsu Universitiessupported 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Influences of topographic variations of the offshore fringing reef on the harbor oscillations excited by incident Nwaves with different amplitudes and waveform types are studied for the first time.Both the propagation of the Nwaves over the reef and the subsequently-induced harbor oscillations are simulated by a Boussinesq-type numerical model,FUNWAVE-TVD.The present study concentrates on revealing the influences of the plane reef-face slope,the reef-face profile shape and the lagoon width on the maximum runup,the wave energy distribution and the total wave energy within the harbor.It shows that both the wave energy distribution uniformity and the total wave energy gradually increase with decreasing reef-face slope.The profile shape of the reef face suffering leading-elevation Nwaves(LEN waves)has a negligible impact on the wave energy distribution uniformity,while for leading-depression N-waves(LDN waves),the latter gradually decreases with the mean water depth over the reef face.The total wave energy always first increases and then decreases with the mean water depth over the reef face.In general,the total wave energy first sharply decreases and then slightly increases with the lagoon width,regardless of the reef-face width and the incident waveform type.The maximum runup subjected to the LEN waves decreases monotonously with the lagoon width.However,for the LDN waves,its changing trend with the lagoon width relies on the incident wave amplitude.
基金supported by the Shanghai Leading Academic Discipline Project (B206)the National Natural Science Foundation of China (11272210)
文摘Kinematic dynamo problem is studied with tsunami motion in open oceans. Using long wave approximation, a series solution of the dynamo problem is established with fast convergent rate based on a small parameter relating water wave dispersive effects. Taking solitary wave and single wave as typical tsunami wave models, the magnitude of tsunami induced magnetic field is estimated at the order of 10 nano Tesla （nT） just over sea level and 1 nT at altitudes of several hundreds kilometers, respectively, depending on the wave parameters as well as earth magnetic field. The space and time behavior of the magnetic field predicted by present model shows fairly similarity with the field data at Easter Island during 2010 Chile tsunami.
基金Project supported by the National Natural Science Foundation of China(Grant No.11675054)the Future Scientist/Outstanding Scholar Training Program of East China Normal University(Grant No.WLKXJ2019-004)+1 种基金the Fund from Shanghai Collaborative Innovation Center of Trustworthy Software for Internet of Things(Grant No.ZF1213)the Project from the Science and Technology Commission of Shanghai Municipality,China(Grant No.18dz2271000)。
文摘We mainly investigate the rational solutions and N-wave resonance solutions for the(3+1)-dimensional Kudryashov–Sinelshchikov equation, which could be used to describe the liquid containing gas bubbles. With appropriate transformations, two kinds of bilinear forms are derived. Employing the two bilinear equations, dynamical behaviors of nine district solutions for this equation are discussed in detail, including bright rogue wave-type solution, dark rogue wave-type solution, bright W-shaped solution, dark W-shaped rational solution, generalized rational solution and bright-fusion, darkfusion, bright-fission, and dark-fission resonance solutions. In addition, the generalized rational solutions, which depending on two arbitrary parameters, have an interesting structure: splitting from two peaks into three peaks.
